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)  

Swathi, Chithra and Murugan have $280 altogether. Swathi spent 13 of her money. Chithra spent $120 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 $ ___

Chithra $ ___

Murugan $ ___


Answer:_______________




2)  

Murugan, Pugal and Selvan have $459 altogether. Murugan spent 15 of his money. Pugal spent $51 and Selvan 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 $ ___

Pugal $ ___

Selvan $ ___


Answer:_______________




3)  

Murugan, Amutha and Chidambaram have $216 altogether. Murugan spent 14 of his money. Amutha spent $36 and Chidambaram 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 $ ___

Amutha $ ___

Chidambaram $ ___


Answer:_______________




4)  

Tamilselvi, Parveen and Raj have $570 altogether. Tamilselvi spent 13 of her money. Parveen spent $110 and Raj spent thrice the amount of what Tamilselvi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Tamilselvi $ ___

Parveen $ ___

Raj $ ___


Answer:_______________




5)  

Murugan, Prem and Pugal have $663 altogether. Murugan spent 15 of his money. Prem spent $68 and Pugal 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 $ ___

Prem $ ___

Pugal $ ___


Answer:_______________




6)  

Sriram, Haritha and Raj have $252 altogether. Sriram spent 14 of his money. Haritha spent $96 and Raj 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 $ ___

Raj $ ___


Answer:_______________




7)  

Pavi, Chellamal and Narayanan have $480 altogether. Pavi spent 13 of her money. Chellamal spent $120 and Narayanan spent thrice the amount of what Pavi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Pavi $ ___

Chellamal $ ___

Narayanan $ ___


Answer:_______________




8)  

Balaji, Sriram and Kalai have $272 altogether. Balaji spent 15 of his money. Sriram spent $85 and Kalai 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 $ ___

Sriram $ ___

Kalai $ ___


Answer:_______________




9)  

Aravindh, Keerthi and Sriram have $684 altogether. Aravindh spent 14 of his money. Keerthi spent $36 and Sriram spent twice the amount of what Aravindh has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Aravindh $ ___

Keerthi $ ___

Sriram $ ___


Answer:_______________




10)  

Poongodi, Thamarai and Kalai have $650 altogether. Poongodi spent 13 of her money. Thamarai spent $80 and Kalai spent thrice the amount of what Poongodi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Poongodi $ ___

Thamarai $ ___

Kalai $ ___


Answer:_______________




 

1)  

Swathi, Chithra and Murugan have $280 altogether. Swathi spent 13 of her money. Chithra spent $120 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: 48

Chithra $ Answer: 152

Murugan $ Answer: 80


SOLUTION 1 :
Left
 
 
Spent
 
 
Swathi
 
 
 
 
$120 spent
 
 
Chithra
 
 
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
 
$280

Step 1: 10 units = $280 - $120

                          = $160

Step 2: 1 unit = $160 ÷ 10

                       = $16

Step 3: 3 units = 3 x $16

                        = $48

Step 4: 2 units = 2 x $16

                        = $32

Step 5: $32 + $120 = $152

Step 6: 5 units = 5 x $16

                        = $80

 

Swathi have $48 at first.

Chithra have $152 at first.

Murugan have $80 at first.



2)  

Murugan, Pugal and Selvan have $459 altogether. Murugan spent 15 of his money. Pugal spent $51 and Selvan 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: 120

Pugal $ Answer: 147

Selvan $ Answer: 192


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
$51 spent
 
 
Pugal
 
 
 
 
 
 
Spent
 
 
Selvan
 
 
 
 
 
 
 
 
 
 
$459

Step 1: 17 units = $459 - $51

                          = $408

Step 2: 1 unit = $408 ÷ 17

                       = $24

Step 3: 5 units = 5 x $24

                        = $120

Step 4: 4 units = 4 x $24

                        = $96

Step 5: $96 + $51 = $147

Step 6: 8 units = 8 x $24

                        = $192

 

Murugan have $120 at first.

Pugal have $147 at first.

Selvan have $192 at first.



3)  

Murugan, Amutha and Chidambaram have $216 altogether. Murugan spent 14 of his money. Amutha spent $36 and Chidambaram 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: 60

Amutha $ Answer: 81

Chidambaram $ Answer: 75


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
$36 spent
 
 
Amutha
 
 
 
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
 
 
$216

Step 1: 12 units = $216 - $36

                          = $180

Step 2: 1 unit = $180 ÷ 12

                       = $15

Step 3: 4 units = 4 x $15

                        = $60

Step 4: 3 units = 3 x $15

                        = $45

Step 5: $45 + $36 = $81

Step 6: 5 units = 5 x $15

                        = $75

 

Murugan have $60 at first.

Amutha have $81 at first.

Chidambaram have $75 at first.



4)  

Tamilselvi, Parveen and Raj have $570 altogether. Tamilselvi spent 13 of her money. Parveen spent $110 and Raj spent thrice the amount of what Tamilselvi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Tamilselvi $ Answer: 138

Parveen $ Answer: 202

Raj $ Answer: 230


SOLUTION 1 :
Left
 
 
Spent
 
 
Tamilselvi
 
 
 
 
$110 spent
 
 
Parveen
 
 
 
 
Spent
 
 
Raj
 
 
 
 
 
 
 
$570

Step 1: 10 units = $570 - $110

                          = $460

Step 2: 1 unit = $460 ÷ 10

                       = $46

Step 3: 3 units = 3 x $46

                        = $138

Step 4: 2 units = 2 x $46

                        = $92

Step 5: $92 + $110 = $202

Step 6: 5 units = 5 x $46

                        = $230

 

Tamilselvi have $138 at first.

Parveen have $202 at first.

Raj have $230 at first.



5)  

Murugan, Prem and Pugal have $663 altogether. Murugan spent 15 of his money. Prem spent $68 and Pugal 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: 175

Prem $ Answer: 208

Pugal $ Answer: 280


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
$68 spent
 
 
Prem
 
 
 
 
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
 
 
 
 
$663

Step 1: 17 units = $663 - $68

                          = $595

Step 2: 1 unit = $595 ÷ 17

                       = $35

Step 3: 5 units = 5 x $35

                        = $175

Step 4: 4 units = 4 x $35

                        = $140

Step 5: $140 + $68 = $208

Step 6: 8 units = 8 x $35

                        = $280

 

Murugan have $175 at first.

Prem have $208 at first.

Pugal have $280 at first.



6)  

Sriram, Haritha and Raj have $252 altogether. Sriram spent 14 of his money. Haritha spent $96 and Raj 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: 52

Haritha $ Answer: 135

Raj $ Answer: 65


SOLUTION 1 :
Left
 
 
Spent
 
 
Sriram
 
 
 
 
 
$96 spent
 
 
Haritha
 
 
 
 
 
Spent
 
 
Raj
 
 
 
 
 
 
 
$252

Step 1: 12 units = $252 - $96

                          = $156

Step 2: 1 unit = $156 ÷ 12

                       = $13

Step 3: 4 units = 4 x $13

                        = $52

Step 4: 3 units = 3 x $13

                        = $39

Step 5: $39 + $96 = $135

Step 6: 5 units = 5 x $13

                        = $65

 

Sriram have $52 at first.

Haritha have $135 at first.

Raj have $65 at first.



7)  

Pavi, Chellamal and Narayanan have $480 altogether. Pavi spent 13 of her money. Chellamal spent $120 and Narayanan spent thrice the amount of what Pavi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Pavi $ Answer: 108

Chellamal $ Answer: 192

Narayanan $ Answer: 180


SOLUTION 1 :
Left
 
 
Spent
 
 
Pavi
 
 
 
 
$120 spent
 
 
Chellamal
 
 
 
 
Spent
 
 
Narayanan
 
 
 
 
 
 
 
$480

Step 1: 10 units = $480 - $120

                          = $360

Step 2: 1 unit = $360 ÷ 10

                       = $36

Step 3: 3 units = 3 x $36

                        = $108

Step 4: 2 units = 2 x $36

                        = $72

Step 5: $72 + $120 = $192

Step 6: 5 units = 5 x $36

                        = $180

 

Pavi have $108 at first.

Chellamal have $192 at first.

Narayanan have $180 at first.



8)  

Balaji, Sriram and Kalai have $272 altogether. Balaji spent 15 of his money. Sriram spent $85 and Kalai 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: 55

Sriram $ Answer: 129

Kalai $ Answer: 88


SOLUTION 1 :
Left
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
$85 spent
 
 
Sriram
 
 
 
 
 
 
Spent
 
 
Kalai
 
 
 
 
 
 
 
 
 
 
$272

Step 1: 17 units = $272 - $85

                          = $187

Step 2: 1 unit = $187 ÷ 17

                       = $11

Step 3: 5 units = 5 x $11

                        = $55

Step 4: 4 units = 4 x $11

                        = $44

Step 5: $44 + $85 = $129

Step 6: 8 units = 8 x $11

                        = $88

 

Balaji have $55 at first.

Sriram have $129 at first.

Kalai have $88 at first.



9)  

Aravindh, Keerthi and Sriram have $684 altogether. Aravindh spent 14 of his money. Keerthi spent $36 and Sriram spent twice the amount of what Aravindh has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Aravindh $ Answer: 216

Keerthi $ Answer: 198

Sriram $ Answer: 270


SOLUTION 1 :
Left
 
 
Spent
 
 
Aravindh
 
 
 
 
 
$36 spent
 
 
Keerthi
 
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
$684

Step 1: 12 units = $684 - $36

                          = $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 + $36 = $198

Step 6: 5 units = 5 x $54

                        = $270

 

Aravindh have $216 at first.

Keerthi have $198 at first.

Sriram have $270 at first.



10)  

Poongodi, Thamarai and Kalai have $650 altogether. Poongodi spent 13 of her money. Thamarai spent $80 and Kalai spent thrice the amount of what Poongodi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Poongodi $ Answer: 171

Thamarai $ Answer: 194

Kalai $ Answer: 285


SOLUTION 1 :
Left
 
 
Spent
 
 
Poongodi
 
 
 
 
$80 spent
 
 
Thamarai
 
 
 
 
Spent
 
 
Kalai
 
 
 
 
 
 
 
$650

Step 1: 10 units = $650 - $80

                          = $570

Step 2: 1 unit = $570 ÷ 10

                       = $57

Step 3: 3 units = 3 x $57

                        = $171

Step 4: 2 units = 2 x $57

                        = $114

Step 5: $114 + $80 = $194

Step 6: 5 units = 5 x $57

                        = $285

 

Poongodi have $171 at first.

Thamarai have $194 at first.

Kalai have $285 at first.