Scroll:Fractions >> Model Approach >> ps (1225)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

Moorthi, Pugal and Kumar have $442 altogether. Moorthi spent 15 of his money. Pugal spent $102 and Kumar spent 4 times the amount of what Moorthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Moorthi $ ___

Pugal $ ___

Kumar $ ___


Answer:_______________




2)  

Narayanan, Chellamal and Sriram have $732 altogether. Narayanan spent 14 of his money. Chellamal spent $48 and Sriram spent twice the amount of what Narayanan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Narayanan $ ___

Chellamal $ ___

Sriram $ ___


Answer:_______________




3)  

Haritha, Nandini and Narayanan have $690 altogether. Haritha spent 13 of her money. Nandini spent $60 and Narayanan spent thrice the amount of what Haritha has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Haritha $ ___

Nandini $ ___

Narayanan $ ___


Answer:_______________




4)  

Moorthi, Sriram and Kumar have $816 altogether. Moorthi spent 15 of his money. Sriram spent $34 and Kumar spent 4 times the amount of what Moorthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Moorthi $ ___

Sriram $ ___

Kumar $ ___


Answer:_______________




5)  

Selvan, Mithra and Chidambaram have $744 altogether. Selvan spent 14 of his money. Mithra spent $60 and Chidambaram spent twice the amount of what Selvan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Selvan $ ___

Mithra $ ___

Chidambaram $ ___


Answer:_______________




6)  

Panimalar, Tamilselvi and Selvan have $480 altogether. Panimalar spent 13 of her money. Tamilselvi spent $90 and Selvan spent thrice the amount of what Panimalar has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Panimalar $ ___

Tamilselvi $ ___

Selvan $ ___


Answer:_______________




7)  

Moorthi, Karna and Aravindh have $612 altogether. Moorthi spent 15 of his money. Karna spent $102 and Aravindh spent 4 times the amount of what Moorthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Moorthi $ ___

Karna $ ___

Aravindh $ ___


Answer:_______________




8)  

Moorthi, Thamarai and Kumar have $696 altogether. Moorthi spent 14 of his money. Thamarai spent $48 and Kumar spent twice the amount of what Moorthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Moorthi $ ___

Thamarai $ ___

Kumar $ ___


Answer:_______________




9)  

Savithri, Poovazhagi and Aravindh have $680 altogether. Savithri spent 13 of her money. Poovazhagi spent $120 and Aravindh spent thrice the amount of what Savithri has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Savithri $ ___

Poovazhagi $ ___

Aravindh $ ___


Answer:_______________




10)  

Balaji, Prem and Aravindh have $374 altogether. Balaji spent 15 of his money. Prem spent $34 and Aravindh spent 4 times the amount of what Balaji has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Balaji $ ___

Prem $ ___

Aravindh $ ___


Answer:_______________




 

1)  

Moorthi, Pugal and Kumar have $442 altogether. Moorthi spent 15 of his money. Pugal spent $102 and Kumar spent 4 times the amount of what Moorthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Moorthi $ Answer: 100

Pugal $ Answer: 182

Kumar $ Answer: 160


SOLUTION 1 :
Left
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
$102 spent
 
 
Pugal
 
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
 
 
 
$442

Step 1: 17 units = $442 - $102

                          = $340

Step 2: 1 unit = $340 ÷ 17

                       = $20

Step 3: 5 units = 5 x $20

                        = $100

Step 4: 4 units = 4 x $20

                        = $80

Step 5: $80 + $102 = $182

Step 6: 8 units = 8 x $20

                        = $160

 

Moorthi have $100 at first.

Pugal have $182 at first.

Kumar have $160 at first.



2)  

Narayanan, Chellamal and Sriram have $732 altogether. Narayanan spent 14 of his money. Chellamal spent $48 and Sriram spent twice the amount of what Narayanan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Narayanan $ Answer: 228

Chellamal $ Answer: 219

Sriram $ Answer: 285


SOLUTION 1 :
Left
 
 
Spent
 
 
Narayanan
 
 
 
 
 
$48 spent
 
 
Chellamal
 
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
$732

Step 1: 12 units = $732 - $48

                          = $684

Step 2: 1 unit = $684 ÷ 12

                       = $57

Step 3: 4 units = 4 x $57

                        = $228

Step 4: 3 units = 3 x $57

                        = $171

Step 5: $171 + $48 = $219

Step 6: 5 units = 5 x $57

                        = $285

 

Narayanan have $228 at first.

Chellamal have $219 at first.

Sriram have $285 at first.



3)  

Haritha, Nandini and Narayanan have $690 altogether. Haritha spent 13 of her money. Nandini spent $60 and Narayanan spent thrice the amount of what Haritha has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Haritha $ Answer: 189

Nandini $ Answer: 186

Narayanan $ Answer: 315


SOLUTION 1 :
Left
 
 
Spent
 
 
Haritha
 
 
 
 
$60 spent
 
 
Nandini
 
 
 
 
Spent
 
 
Narayanan
 
 
 
 
 
 
 
$690

Step 1: 10 units = $690 - $60

                          = $630

Step 2: 1 unit = $630 ÷ 10

                       = $63

Step 3: 3 units = 3 x $63

                        = $189

Step 4: 2 units = 2 x $63

                        = $126

Step 5: $126 + $60 = $186

Step 6: 5 units = 5 x $63

                        = $315

 

Haritha have $189 at first.

Nandini have $186 at first.

Narayanan have $315 at first.



4)  

Moorthi, Sriram and Kumar have $816 altogether. Moorthi spent 15 of his money. Sriram spent $34 and Kumar spent 4 times the amount of what Moorthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Moorthi $ Answer: 230

Sriram $ Answer: 218

Kumar $ Answer: 368


SOLUTION 1 :
Left
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
$34 spent
 
 
Sriram
 
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
 
 
 
$816

Step 1: 17 units = $816 - $34

                          = $782

Step 2: 1 unit = $782 ÷ 17

                       = $46

Step 3: 5 units = 5 x $46

                        = $230

Step 4: 4 units = 4 x $46

                        = $184

Step 5: $184 + $34 = $218

Step 6: 8 units = 8 x $46

                        = $368

 

Moorthi have $230 at first.

Sriram have $218 at first.

Kumar have $368 at first.



5)  

Selvan, Mithra and Chidambaram have $744 altogether. Selvan spent 14 of his money. Mithra spent $60 and Chidambaram spent twice the amount of what Selvan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Selvan $ Answer: 228

Mithra $ Answer: 231

Chidambaram $ Answer: 285


SOLUTION 1 :
Left
 
 
Spent
 
 
Selvan
 
 
 
 
 
$60 spent
 
 
Mithra
 
 
 
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
 
 
$744

Step 1: 12 units = $744 - $60

                          = $684

Step 2: 1 unit = $684 ÷ 12

                       = $57

Step 3: 4 units = 4 x $57

                        = $228

Step 4: 3 units = 3 x $57

                        = $171

Step 5: $171 + $60 = $231

Step 6: 5 units = 5 x $57

                        = $285

 

Selvan have $228 at first.

Mithra have $231 at first.

Chidambaram have $285 at first.



6)  

Panimalar, Tamilselvi and Selvan have $480 altogether. Panimalar spent 13 of her money. Tamilselvi spent $90 and Selvan spent thrice the amount of what Panimalar has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Panimalar $ Answer: 117

Tamilselvi $ Answer: 168

Selvan $ Answer: 195


SOLUTION 1 :
Left
 
 
Spent
 
 
Panimalar
 
 
 
 
$90 spent
 
 
Tamilselvi
 
 
 
 
Spent
 
 
Selvan
 
 
 
 
 
 
 
$480

Step 1: 10 units = $480 - $90

                          = $390

Step 2: 1 unit = $390 ÷ 10

                       = $39

Step 3: 3 units = 3 x $39

                        = $117

Step 4: 2 units = 2 x $39

                        = $78

Step 5: $78 + $90 = $168

Step 6: 5 units = 5 x $39

                        = $195

 

Panimalar have $117 at first.

Tamilselvi have $168 at first.

Selvan have $195 at first.



7)  

Moorthi, Karna and Aravindh have $612 altogether. Moorthi spent 15 of his money. Karna spent $102 and Aravindh spent 4 times the amount of what Moorthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Moorthi $ Answer: 150

Karna $ Answer: 222

Aravindh $ Answer: 240


SOLUTION 1 :
Left
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
$102 spent
 
 
Karna
 
 
 
 
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
 
 
 
 
$612

Step 1: 17 units = $612 - $102

                          = $510

Step 2: 1 unit = $510 ÷ 17

                       = $30

Step 3: 5 units = 5 x $30

                        = $150

Step 4: 4 units = 4 x $30

                        = $120

Step 5: $120 + $102 = $222

Step 6: 8 units = 8 x $30

                        = $240

 

Moorthi have $150 at first.

Karna have $222 at first.

Aravindh have $240 at first.



8)  

Moorthi, Thamarai and Kumar have $696 altogether. Moorthi spent 14 of his money. Thamarai spent $48 and Kumar spent twice the amount of what Moorthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Moorthi $ Answer: 216

Thamarai $ Answer: 210

Kumar $ Answer: 270


SOLUTION 1 :
Left
 
 
Spent
 
 
Moorthi
 
 
 
 
 
$48 spent
 
 
Thamarai
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
$696

Step 1: 12 units = $696 - $48

                          = $648

Step 2: 1 unit = $648 ÷ 12

                       = $54

Step 3: 4 units = 4 x $54

                        = $216

Step 4: 3 units = 3 x $54

                        = $162

Step 5: $162 + $48 = $210

Step 6: 5 units = 5 x $54

                        = $270

 

Moorthi have $216 at first.

Thamarai have $210 at first.

Kumar have $270 at first.



9)  

Savithri, Poovazhagi and Aravindh have $680 altogether. Savithri spent 13 of her money. Poovazhagi spent $120 and Aravindh spent thrice the amount of what Savithri has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Savithri $ Answer: 168

Poovazhagi $ Answer: 232

Aravindh $ Answer: 280


SOLUTION 1 :
Left
 
 
Spent
 
 
Savithri
 
 
 
 
$120 spent
 
 
Poovazhagi
 
 
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
 
$680

Step 1: 10 units = $680 - $120

                          = $560

Step 2: 1 unit = $560 ÷ 10

                       = $56

Step 3: 3 units = 3 x $56

                        = $168

Step 4: 2 units = 2 x $56

                        = $112

Step 5: $112 + $120 = $232

Step 6: 5 units = 5 x $56

                        = $280

 

Savithri have $168 at first.

Poovazhagi have $232 at first.

Aravindh have $280 at first.



10)  

Balaji, Prem and Aravindh have $374 altogether. Balaji spent 15 of his money. Prem spent $34 and Aravindh spent 4 times the amount of what Balaji has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Balaji $ Answer: 100

Prem $ Answer: 114

Aravindh $ Answer: 160


SOLUTION 1 :
Left
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
$34 spent
 
 
Prem
 
 
 
 
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
 
 
 
 
$374

Step 1: 17 units = $374 - $34

                          = $340

Step 2: 1 unit = $340 ÷ 17

                       = $20

Step 3: 5 units = 5 x $20

                        = $100

Step 4: 4 units = 4 x $20

                        = $80

Step 5: $80 + $34 = $114

Step 6: 8 units = 8 x $20

                        = $160

 

Balaji have $100 at first.

Prem have $114 at first.

Aravindh have $160 at first.