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)  

Murugan, Selvan and Narayanan have $510 altogether. Murugan spent 15 of his money. Selvan spent $34 and Narayanan spent 4 times the amount of what Murugan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Murugan $ ___

Selvan $ ___

Narayanan $ ___


Answer:_______________




2)  

Murugan, Mithra and Kumar have $360 altogether. Murugan spent 14 of his money. Mithra spent $24 and Kumar spent twice the amount of what Murugan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Murugan $ ___

Mithra $ ___

Kumar $ ___


Answer:_______________




3)  

Parveen, Indra and Karna have $230 altogether. Parveen spent 13 of her money. Indra spent $80 and Karna spent thrice the amount of what Parveen has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Parveen $ ___

Indra $ ___

Karna $ ___


Answer:_______________




4)  

Pugal, Narayanan and Selvan have $238 altogether. Pugal spent 15 of his money. Narayanan spent $85 and Selvan spent 4 times the amount of what Pugal has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Pugal $ ___

Narayanan $ ___

Selvan $ ___


Answer:_______________




5)  

Sriram, Haritha and Karna have $444 altogether. Sriram spent 14 of his money. Haritha spent $84 and Karna spent twice the amount of what Sriram has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Sriram $ ___

Haritha $ ___

Karna $ ___


Answer:_______________




6)  

Chithra, Ovini and Karna have $270 altogether. Chithra spent 13 of her money. Ovini spent $60 and Karna spent thrice the amount of what Chithra has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Chithra $ ___

Ovini $ ___

Karna $ ___


Answer:_______________




7)  

Murugan, Karna and Kumar have $697 altogether. Murugan spent 15 of his money. Karna spent $68 and Kumar spent 4 times the amount of what Murugan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Murugan $ ___

Karna $ ___

Kumar $ ___


Answer:_______________




8)  

Karna, Pavi and Moorthi have $732 altogether. Karna spent 14 of his money. Pavi spent $84 and Moorthi spent twice the amount of what Karna has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Karna $ ___

Pavi $ ___

Moorthi $ ___


Answer:_______________




9)  

Swathi, Haritha and Murugan have $210 altogether. Swathi spent 13 of her money. Haritha spent $80 and Murugan spent thrice the amount of what Swathi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Swathi $ ___

Haritha $ ___

Murugan $ ___


Answer:_______________




10)  

Karna, Prem and Kumar have $391 altogether. Karna spent 15 of his money. Prem spent $34 and Kumar spent 4 times the amount of what Karna has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Karna $ ___

Prem $ ___

Kumar $ ___


Answer:_______________




 

1)  

Murugan, Selvan and Narayanan have $510 altogether. Murugan spent 15 of his money. Selvan spent $34 and Narayanan spent 4 times the amount of what Murugan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Murugan $ Answer: 140

Selvan $ Answer: 146

Narayanan $ Answer: 224


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
$34 spent
 
 
Selvan
 
 
 
 
 
 
Spent
 
 
Narayanan
 
 
 
 
 
 
 
 
 
 
$510

Step 1: 17 units = $510 - $34

                          = $476

Step 2: 1 unit = $476 ÷ 17

                       = $28

Step 3: 5 units = 5 x $28

                        = $140

Step 4: 4 units = 4 x $28

                        = $112

Step 5: $112 + $34 = $146

Step 6: 8 units = 8 x $28

                        = $224

 

Murugan have $140 at first.

Selvan have $146 at first.

Narayanan have $224 at first.



2)  

Murugan, Mithra and Kumar have $360 altogether. Murugan spent 14 of his money. Mithra spent $24 and Kumar spent twice the amount of what Murugan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Murugan $ Answer: 112

Mithra $ Answer: 108

Kumar $ Answer: 140


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
$24 spent
 
 
Mithra
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
$360

Step 1: 12 units = $360 - $24

                          = $336

Step 2: 1 unit = $336 ÷ 12

                       = $28

Step 3: 4 units = 4 x $28

                        = $112

Step 4: 3 units = 3 x $28

                        = $84

Step 5: $84 + $24 = $108

Step 6: 5 units = 5 x $28

                        = $140

 

Murugan have $112 at first.

Mithra have $108 at first.

Kumar have $140 at first.



3)  

Parveen, Indra and Karna have $230 altogether. Parveen spent 13 of her money. Indra spent $80 and Karna spent thrice the amount of what Parveen has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Parveen $ Answer: 45

Indra $ Answer: 110

Karna $ Answer: 75


SOLUTION 1 :
Left
 
 
Spent
 
 
Parveen
 
 
 
 
$80 spent
 
 
Indra
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
$230

Step 1: 10 units = $230 - $80

                          = $150

Step 2: 1 unit = $150 ÷ 10

                       = $15

Step 3: 3 units = 3 x $15

                        = $45

Step 4: 2 units = 2 x $15

                        = $30

Step 5: $30 + $80 = $110

Step 6: 5 units = 5 x $15

                        = $75

 

Parveen have $45 at first.

Indra have $110 at first.

Karna have $75 at first.



4)  

Pugal, Narayanan and Selvan have $238 altogether. Pugal spent 15 of his money. Narayanan spent $85 and Selvan spent 4 times the amount of what Pugal has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Pugal $ Answer: 45

Narayanan $ Answer: 121

Selvan $ Answer: 72


SOLUTION 1 :
Left
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
$85 spent
 
 
Narayanan
 
 
 
 
 
 
Spent
 
 
Selvan
 
 
 
 
 
 
 
 
 
 
$238

Step 1: 17 units = $238 - $85

                          = $153

Step 2: 1 unit = $153 ÷ 17

                       = $9

Step 3: 5 units = 5 x $9

                        = $45

Step 4: 4 units = 4 x $9

                        = $36

Step 5: $36 + $85 = $121

Step 6: 8 units = 8 x $9

                        = $72

 

Pugal have $45 at first.

Narayanan have $121 at first.

Selvan have $72 at first.



5)  

Sriram, Haritha and Karna have $444 altogether. Sriram spent 14 of his money. Haritha spent $84 and Karna spent twice the amount of what Sriram has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Sriram $ Answer: 120

Haritha $ Answer: 174

Karna $ Answer: 150


SOLUTION 1 :
Left
 
 
Spent
 
 
Sriram
 
 
 
 
 
$84 spent
 
 
Haritha
 
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
$444

Step 1: 12 units = $444 - $84

                          = $360

Step 2: 1 unit = $360 ÷ 12

                       = $30

Step 3: 4 units = 4 x $30

                        = $120

Step 4: 3 units = 3 x $30

                        = $90

Step 5: $90 + $84 = $174

Step 6: 5 units = 5 x $30

                        = $150

 

Sriram have $120 at first.

Haritha have $174 at first.

Karna have $150 at first.



6)  

Chithra, Ovini and Karna have $270 altogether. Chithra spent 13 of her money. Ovini spent $60 and Karna spent thrice the amount of what Chithra has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Chithra $ Answer: 63

Ovini $ Answer: 102

Karna $ Answer: 105


SOLUTION 1 :
Left
 
 
Spent
 
 
Chithra
 
 
 
 
$60 spent
 
 
Ovini
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
$270

Step 1: 10 units = $270 - $60

                          = $210

Step 2: 1 unit = $210 ÷ 10

                       = $21

Step 3: 3 units = 3 x $21

                        = $63

Step 4: 2 units = 2 x $21

                        = $42

Step 5: $42 + $60 = $102

Step 6: 5 units = 5 x $21

                        = $105

 

Chithra have $63 at first.

Ovini have $102 at first.

Karna have $105 at first.



7)  

Murugan, Karna and Kumar have $697 altogether. Murugan spent 15 of his money. Karna spent $68 and Kumar spent 4 times the amount of what Murugan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Murugan $ Answer: 185

Karna $ Answer: 216

Kumar $ Answer: 296


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
$68 spent
 
 
Karna
 
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
 
 
 
$697

Step 1: 17 units = $697 - $68

                          = $629

Step 2: 1 unit = $629 ÷ 17

                       = $37

Step 3: 5 units = 5 x $37

                        = $185

Step 4: 4 units = 4 x $37

                        = $148

Step 5: $148 + $68 = $216

Step 6: 8 units = 8 x $37

                        = $296

 

Murugan have $185 at first.

Karna have $216 at first.

Kumar have $296 at first.



8)  

Karna, Pavi and Moorthi have $732 altogether. Karna spent 14 of his money. Pavi spent $84 and Moorthi spent twice the amount of what Karna has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Karna $ Answer: 216

Pavi $ Answer: 246

Moorthi $ Answer: 270


SOLUTION 1 :
Left
 
 
Spent
 
 
Karna
 
 
 
 
 
$84 spent
 
 
Pavi
 
 
 
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
 
$732

Step 1: 12 units = $732 - $84

                          = $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 + $84 = $246

Step 6: 5 units = 5 x $54

                        = $270

 

Karna have $216 at first.

Pavi have $246 at first.

Moorthi have $270 at first.



9)  

Swathi, Haritha and Murugan have $210 altogether. Swathi spent 13 of her money. Haritha spent $80 and Murugan spent thrice the amount of what Swathi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Swathi $ Answer: 39

Haritha $ Answer: 106

Murugan $ Answer: 65


SOLUTION 1 :
Left
 
 
Spent
 
 
Swathi
 
 
 
 
$80 spent
 
 
Haritha
 
 
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
 
$210

Step 1: 10 units = $210 - $80

                          = $130

Step 2: 1 unit = $130 ÷ 10

                       = $13

Step 3: 3 units = 3 x $13

                        = $39

Step 4: 2 units = 2 x $13

                        = $26

Step 5: $26 + $80 = $106

Step 6: 5 units = 5 x $13

                        = $65

 

Swathi have $39 at first.

Haritha have $106 at first.

Murugan have $65 at first.



10)  

Karna, Prem and Kumar have $391 altogether. Karna spent 15 of his money. Prem spent $34 and Kumar spent 4 times the amount of what Karna has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Karna $ Answer: 105

Prem $ Answer: 118

Kumar $ Answer: 168


SOLUTION 1 :
Left
 
 
Spent
 
 
Karna
 
 
 
 
 
 
$34 spent
 
 
Prem
 
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
 
 
 
$391

Step 1: 17 units = $391 - $34

                          = $357

Step 2: 1 unit = $357 ÷ 17

                       = $21

Step 3: 5 units = 5 x $21

                        = $105

Step 4: 4 units = 4 x $21

                        = $84

Step 5: $84 + $34 = $118

Step 6: 8 units = 8 x $21

                        = $168

 

Karna have $105 at first.

Prem have $118 at first.

Kumar have $168 at first.