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)  

Chidambaram, Indra and Selvan have $360 altogether. Chidambaram spent 14 of his money. Indra spent $84 and Selvan spent twice the amount of what Chidambaram has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Chidambaram $ ___

Indra $ ___

Selvan $ ___


Answer:_______________




2)  

Anand, Pugal and Sriram have $748 altogether. Anand spent 15 of his money. Pugal spent $85 and Sriram spent 4 times the amount of what Anand has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Anand $ ___

Pugal $ ___

Sriram $ ___


Answer:_______________




3)  

Jeevini, Chellamal and Pugal have $310 altogether. Jeevini spent 13 of her money. Chellamal spent $80 and Pugal spent thrice the amount of what Jeevini has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Jeevini $ ___

Chellamal $ ___

Pugal $ ___


Answer:_______________




4)  

Karna, Poovazhagi and Barathan have $396 altogether. Karna spent 14 of his money. Poovazhagi spent $72 and Barathan 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 $ ___

Poovazhagi $ ___

Barathan $ ___


Answer:_______________




5)  

Balaji, Barathan and Karna have $323 altogether. Balaji spent 15 of his money. Barathan spent $34 and Karna 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 $ ___

Barathan $ ___

Karna $ ___


Answer:_______________




6)  

Selvanayaki, Swathi and Pugal have $200 altogether. Selvanayaki spent 13 of her money. Swathi spent $90 and Pugal spent thrice the amount of what Selvanayaki has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Selvanayaki $ ___

Swathi $ ___

Pugal $ ___


Answer:_______________




7)  

Kalai, Chithra and Murugan have $684 altogether. Kalai spent 14 of his money. Chithra spent $24 and Murugan spent twice the amount of what Kalai has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Kalai $ ___

Chithra $ ___

Murugan $ ___


Answer:_______________




8)  

Sriram, Kumar and Murugan have $527 altogether. Sriram spent 15 of his money. Kumar spent $85 and Murugan spent 4 times 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 $ ___

Kumar $ ___

Murugan $ ___


Answer:_______________




9)  

Keerthi, Ovini and Anand have $450 altogether. Keerthi spent 13 of her money. Ovini spent $80 and Anand spent thrice the amount of what Keerthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Keerthi $ ___

Ovini $ ___

Anand $ ___


Answer:_______________




10)  

Kumar, Tulasi and Raj have $396 altogether. Kumar spent 14 of his money. Tulasi spent $72 and Raj spent twice the amount of what Kumar has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Kumar $ ___

Tulasi $ ___

Raj $ ___


Answer:_______________




 

1)  

Chidambaram, Indra and Selvan have $360 altogether. Chidambaram spent 14 of his money. Indra spent $84 and Selvan spent twice the amount of what Chidambaram has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Chidambaram $ Answer: 92

Indra $ Answer: 153

Selvan $ Answer: 115


SOLUTION 1 :
Left
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
$84 spent
 
 
Indra
 
 
 
 
 
Spent
 
 
Selvan
 
 
 
 
 
 
 
$360

Step 1: 12 units = $360 - $84

                          = $276

Step 2: 1 unit = $276 ÷ 12

                       = $23

Step 3: 4 units = 4 x $23

                        = $92

Step 4: 3 units = 3 x $23

                        = $69

Step 5: $69 + $84 = $153

Step 6: 5 units = 5 x $23

                        = $115

 

Chidambaram have $92 at first.

Indra have $153 at first.

Selvan have $115 at first.



2)  

Anand, Pugal and Sriram have $748 altogether. Anand spent 15 of his money. Pugal spent $85 and Sriram spent 4 times the amount of what Anand has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Anand $ Answer: 195

Pugal $ Answer: 241

Sriram $ Answer: 312


SOLUTION 1 :
Left
 
 
Spent
 
 
Anand
 
 
 
 
 
 
$85 spent
 
 
Pugal
 
 
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
 
 
 
$748

Step 1: 17 units = $748 - $85

                          = $663

Step 2: 1 unit = $663 ÷ 17

                       = $39

Step 3: 5 units = 5 x $39

                        = $195

Step 4: 4 units = 4 x $39

                        = $156

Step 5: $156 + $85 = $241

Step 6: 8 units = 8 x $39

                        = $312

 

Anand have $195 at first.

Pugal have $241 at first.

Sriram have $312 at first.



3)  

Jeevini, Chellamal and Pugal have $310 altogether. Jeevini spent 13 of her money. Chellamal spent $80 and Pugal spent thrice the amount of what Jeevini has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Jeevini $ Answer: 69

Chellamal $ Answer: 126

Pugal $ Answer: 115


SOLUTION 1 :
Left
 
 
Spent
 
 
Jeevini
 
 
 
 
$80 spent
 
 
Chellamal
 
 
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
 
$310

Step 1: 10 units = $310 - $80

                          = $230

Step 2: 1 unit = $230 ÷ 10

                       = $23

Step 3: 3 units = 3 x $23

                        = $69

Step 4: 2 units = 2 x $23

                        = $46

Step 5: $46 + $80 = $126

Step 6: 5 units = 5 x $23

                        = $115

 

Jeevini have $69 at first.

Chellamal have $126 at first.

Pugal have $115 at first.



4)  

Karna, Poovazhagi and Barathan have $396 altogether. Karna spent 14 of his money. Poovazhagi spent $72 and Barathan 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: 108

Poovazhagi $ Answer: 153

Barathan $ Answer: 135


SOLUTION 1 :
Left
 
 
Spent
 
 
Karna
 
 
 
 
 
$72 spent
 
 
Poovazhagi
 
 
 
 
 
Spent
 
 
Barathan
 
 
 
 
 
 
 
$396

Step 1: 12 units = $396 - $72

                          = $324

Step 2: 1 unit = $324 ÷ 12

                       = $27

Step 3: 4 units = 4 x $27

                        = $108

Step 4: 3 units = 3 x $27

                        = $81

Step 5: $81 + $72 = $153

Step 6: 5 units = 5 x $27

                        = $135

 

Karna have $108 at first.

Poovazhagi have $153 at first.

Barathan have $135 at first.



5)  

Balaji, Barathan and Karna have $323 altogether. Balaji spent 15 of his money. Barathan spent $34 and Karna 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: 85

Barathan $ Answer: 102

Karna $ Answer: 136


SOLUTION 1 :
Left
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
$34 spent
 
 
Barathan
 
 
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
 
 
 
$323

Step 1: 17 units = $323 - $34

                          = $289

Step 2: 1 unit = $289 ÷ 17

                       = $17

Step 3: 5 units = 5 x $17

                        = $85

Step 4: 4 units = 4 x $17

                        = $68

Step 5: $68 + $34 = $102

Step 6: 8 units = 8 x $17

                        = $136

 

Balaji have $85 at first.

Barathan have $102 at first.

Karna have $136 at first.



6)  

Selvanayaki, Swathi and Pugal have $200 altogether. Selvanayaki spent 13 of her money. Swathi spent $90 and Pugal spent thrice the amount of what Selvanayaki has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Selvanayaki $ Answer: 33

Swathi $ Answer: 112

Pugal $ Answer: 55


SOLUTION 1 :
Left
 
 
Spent
 
 
Selvanayaki
 
 
 
 
$90 spent
 
 
Swathi
 
 
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
 
$200

Step 1: 10 units = $200 - $90

                          = $110

Step 2: 1 unit = $110 ÷ 10

                       = $11

Step 3: 3 units = 3 x $11

                        = $33

Step 4: 2 units = 2 x $11

                        = $22

Step 5: $22 + $90 = $112

Step 6: 5 units = 5 x $11

                        = $55

 

Selvanayaki have $33 at first.

Swathi have $112 at first.

Pugal have $55 at first.



7)  

Kalai, Chithra and Murugan have $684 altogether. Kalai spent 14 of his money. Chithra spent $24 and Murugan spent twice the amount of what Kalai has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Kalai $ Answer: 220

Chithra $ Answer: 189

Murugan $ Answer: 275


SOLUTION 1 :
Left
 
 
Spent
 
 
Kalai
 
 
 
 
 
$24 spent
 
 
Chithra
 
 
 
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
 
$684

Step 1: 12 units = $684 - $24

                          = $660

Step 2: 1 unit = $660 ÷ 12

                       = $55

Step 3: 4 units = 4 x $55

                        = $220

Step 4: 3 units = 3 x $55

                        = $165

Step 5: $165 + $24 = $189

Step 6: 5 units = 5 x $55

                        = $275

 

Kalai have $220 at first.

Chithra have $189 at first.

Murugan have $275 at first.



8)  

Sriram, Kumar and Murugan have $527 altogether. Sriram spent 15 of his money. Kumar spent $85 and Murugan spent 4 times 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: 130

Kumar $ Answer: 189

Murugan $ Answer: 208


SOLUTION 1 :
Left
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
$85 spent
 
 
Kumar
 
 
 
 
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
 
 
 
 
$527

Step 1: 17 units = $527 - $85

                          = $442

Step 2: 1 unit = $442 ÷ 17

                       = $26

Step 3: 5 units = 5 x $26

                        = $130

Step 4: 4 units = 4 x $26

                        = $104

Step 5: $104 + $85 = $189

Step 6: 8 units = 8 x $26

                        = $208

 

Sriram have $130 at first.

Kumar have $189 at first.

Murugan have $208 at first.



9)  

Keerthi, Ovini and Anand have $450 altogether. Keerthi spent 13 of her money. Ovini spent $80 and Anand spent thrice the amount of what Keerthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Keerthi $ Answer: 111

Ovini $ Answer: 154

Anand $ Answer: 185


SOLUTION 1 :
Left
 
 
Spent
 
 
Keerthi
 
 
 
 
$80 spent
 
 
Ovini
 
 
 
 
Spent
 
 
Anand
 
 
 
 
 
 
 
$450

Step 1: 10 units = $450 - $80

                          = $370

Step 2: 1 unit = $370 ÷ 10

                       = $37

Step 3: 3 units = 3 x $37

                        = $111

Step 4: 2 units = 2 x $37

                        = $74

Step 5: $74 + $80 = $154

Step 6: 5 units = 5 x $37

                        = $185

 

Keerthi have $111 at first.

Ovini have $154 at first.

Anand have $185 at first.



10)  

Kumar, Tulasi and Raj have $396 altogether. Kumar spent 14 of his money. Tulasi spent $72 and Raj spent twice the amount of what Kumar has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Kumar $ Answer: 108

Tulasi $ Answer: 153

Raj $ Answer: 135


SOLUTION 1 :
Left
 
 
Spent
 
 
Kumar
 
 
 
 
 
$72 spent
 
 
Tulasi
 
 
 
 
 
Spent
 
 
Raj
 
 
 
 
 
 
 
$396

Step 1: 12 units = $396 - $72

                          = $324

Step 2: 1 unit = $324 ÷ 12

                       = $27

Step 3: 4 units = 4 x $27

                        = $108

Step 4: 3 units = 3 x $27

                        = $81

Step 5: $81 + $72 = $153

Step 6: 5 units = 5 x $27

                        = $135

 

Kumar have $108 at first.

Tulasi have $153 at first.

Raj have $135 at first.