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)  

Aravindh, Prem and Balaji have $408 altogether. Aravindh spent 15 of his money. Prem spent $85 and Balaji spent 4 times 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 $ ___

Prem $ ___

Balaji $ ___


Answer:_______________




2)  

Nandini, Chithra and Kalai have $590 altogether. Nandini spent 13 of her money. Chithra spent $60 and Kalai spent thrice the amount of what Nandini has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Nandini $ ___

Chithra $ ___

Kalai $ ___


Answer:_______________




3)  

Prem, Indra and Balaji have $624 altogether. Prem spent 14 of his money. Indra spent $96 and Balaji spent twice the amount of what Prem has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Prem $ ___

Indra $ ___

Balaji $ ___


Answer:_______________




4)  

Aravindh, Anand and Selvan have $204 altogether. Aravindh spent 15 of his money. Anand spent $51 and Selvan spent 4 times 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 $ ___

Anand $ ___

Selvan $ ___


Answer:_______________




5)  

Chithra, Amutha and Kumar have $480 altogether. Chithra spent 13 of her money. Amutha spent $110 and Kumar 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 $ ___

Amutha $ ___

Kumar $ ___


Answer:_______________




6)  

Pugal, Tulasi and Karna have $588 altogether. Pugal spent 14 of his money. Tulasi spent $36 and Karna spent twice 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 $ ___

Tulasi $ ___

Karna $ ___


Answer:_______________




7)  

Selvan, Kalai and Balaji have $544 altogether. Selvan spent 15 of his money. Kalai spent $102 and Balaji spent 4 times 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 $ ___

Kalai $ ___

Balaji $ ___


Answer:_______________




8)  

Nandini, Tulasi and Pugal have $280 altogether. Nandini spent 13 of her money. Tulasi spent $120 and Pugal spent thrice the amount of what Nandini has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Nandini $ ___

Tulasi $ ___

Pugal $ ___


Answer:_______________




9)  

Barathan, Mithra and Pugal have $708 altogether. Barathan spent 14 of his money. Mithra spent $48 and Pugal spent twice the amount of what Barathan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Barathan $ ___

Mithra $ ___

Pugal $ ___


Answer:_______________




10)  

Prem, Kalai and Anand have $459 altogether. Prem spent 15 of his money. Kalai spent $102 and Anand spent 4 times the amount of what Prem has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Prem $ ___

Kalai $ ___

Anand $ ___


Answer:_______________




 

1)  

Aravindh, Prem and Balaji have $408 altogether. Aravindh spent 15 of his money. Prem spent $85 and Balaji spent 4 times 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: 95

Prem $ Answer: 161

Balaji $ Answer: 152


SOLUTION 1 :
Left
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
$85 spent
 
 
Prem
 
 
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
 
 
 
$408

Step 1: 17 units = $408 - $85

                          = $323

Step 2: 1 unit = $323 ÷ 17

                       = $19

Step 3: 5 units = 5 x $19

                        = $95

Step 4: 4 units = 4 x $19

                        = $76

Step 5: $76 + $85 = $161

Step 6: 8 units = 8 x $19

                        = $152

 

Aravindh have $95 at first.

Prem have $161 at first.

Balaji have $152 at first.



2)  

Nandini, Chithra and Kalai have $590 altogether. Nandini spent 13 of her money. Chithra spent $60 and Kalai spent thrice the amount of what Nandini has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Nandini $ Answer: 159

Chithra $ Answer: 166

Kalai $ Answer: 265


SOLUTION 1 :
Left
 
 
Spent
 
 
Nandini
 
 
 
 
$60 spent
 
 
Chithra
 
 
 
 
Spent
 
 
Kalai
 
 
 
 
 
 
 
$590

Step 1: 10 units = $590 - $60

                          = $530

Step 2: 1 unit = $530 ÷ 10

                       = $53

Step 3: 3 units = 3 x $53

                        = $159

Step 4: 2 units = 2 x $53

                        = $106

Step 5: $106 + $60 = $166

Step 6: 5 units = 5 x $53

                        = $265

 

Nandini have $159 at first.

Chithra have $166 at first.

Kalai have $265 at first.



3)  

Prem, Indra and Balaji have $624 altogether. Prem spent 14 of his money. Indra spent $96 and Balaji spent twice the amount of what Prem has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Prem $ Answer: 176

Indra $ Answer: 228

Balaji $ Answer: 220


SOLUTION 1 :
Left
 
 
Spent
 
 
Prem
 
 
 
 
 
$96 spent
 
 
Indra
 
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
$624

Step 1: 12 units = $624 - $96

                          = $528

Step 2: 1 unit = $528 ÷ 12

                       = $44

Step 3: 4 units = 4 x $44

                        = $176

Step 4: 3 units = 3 x $44

                        = $132

Step 5: $132 + $96 = $228

Step 6: 5 units = 5 x $44

                        = $220

 

Prem have $176 at first.

Indra have $228 at first.

Balaji have $220 at first.



4)  

Aravindh, Anand and Selvan have $204 altogether. Aravindh spent 15 of his money. Anand spent $51 and Selvan spent 4 times 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: 45

Anand $ Answer: 87

Selvan $ Answer: 72


SOLUTION 1 :
Left
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
$51 spent
 
 
Anand
 
 
 
 
 
 
Spent
 
 
Selvan
 
 
 
 
 
 
 
 
 
 
$204

Step 1: 17 units = $204 - $51

                          = $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 + $51 = $87

Step 6: 8 units = 8 x $9

                        = $72

 

Aravindh have $45 at first.

Anand have $87 at first.

Selvan have $72 at first.



5)  

Chithra, Amutha and Kumar have $480 altogether. Chithra spent 13 of her money. Amutha spent $110 and Kumar 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: 111

Amutha $ Answer: 184

Kumar $ Answer: 185


SOLUTION 1 :
Left
 
 
Spent
 
 
Chithra
 
 
 
 
$110 spent
 
 
Amutha
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
$480

Step 1: 10 units = $480 - $110

                          = $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 + $110 = $184

Step 6: 5 units = 5 x $37

                        = $185

 

Chithra have $111 at first.

Amutha have $184 at first.

Kumar have $185 at first.



6)  

Pugal, Tulasi and Karna have $588 altogether. Pugal spent 14 of his money. Tulasi spent $36 and Karna spent twice 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: 184

Tulasi $ Answer: 174

Karna $ Answer: 230


SOLUTION 1 :
Left
 
 
Spent
 
 
Pugal
 
 
 
 
 
$36 spent
 
 
Tulasi
 
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
$588

Step 1: 12 units = $588 - $36

                          = $552

Step 2: 1 unit = $552 ÷ 12

                       = $46

Step 3: 4 units = 4 x $46

                        = $184

Step 4: 3 units = 3 x $46

                        = $138

Step 5: $138 + $36 = $174

Step 6: 5 units = 5 x $46

                        = $230

 

Pugal have $184 at first.

Tulasi have $174 at first.

Karna have $230 at first.



7)  

Selvan, Kalai and Balaji have $544 altogether. Selvan spent 15 of his money. Kalai spent $102 and Balaji spent 4 times 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: 130

Kalai $ Answer: 206

Balaji $ Answer: 208


SOLUTION 1 :
Left
 
 
Spent
 
 
Selvan
 
 
 
 
 
 
$102 spent
 
 
Kalai
 
 
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
 
 
 
$544

Step 1: 17 units = $544 - $102

                          = $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 + $102 = $206

Step 6: 8 units = 8 x $26

                        = $208

 

Selvan have $130 at first.

Kalai have $206 at first.

Balaji have $208 at first.



8)  

Nandini, Tulasi and Pugal have $280 altogether. Nandini spent 13 of her money. Tulasi spent $120 and Pugal spent thrice the amount of what Nandini has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Nandini $ Answer: 48

Tulasi $ Answer: 152

Pugal $ Answer: 80


SOLUTION 1 :
Left
 
 
Spent
 
 
Nandini
 
 
 
 
$120 spent
 
 
Tulasi
 
 
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
 
$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

 

Nandini have $48 at first.

Tulasi have $152 at first.

Pugal have $80 at first.



9)  

Barathan, Mithra and Pugal have $708 altogether. Barathan spent 14 of his money. Mithra spent $48 and Pugal spent twice the amount of what Barathan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Barathan $ Answer: 220

Mithra $ Answer: 213

Pugal $ Answer: 275


SOLUTION 1 :
Left
 
 
Spent
 
 
Barathan
 
 
 
 
 
$48 spent
 
 
Mithra
 
 
 
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
 
$708

Step 1: 12 units = $708 - $48

                          = $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 + $48 = $213

Step 6: 5 units = 5 x $55

                        = $275

 

Barathan have $220 at first.

Mithra have $213 at first.

Pugal have $275 at first.



10)  

Prem, Kalai and Anand have $459 altogether. Prem spent 15 of his money. Kalai spent $102 and Anand spent 4 times the amount of what Prem has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Prem $ Answer: 105

Kalai $ Answer: 186

Anand $ Answer: 168


SOLUTION 1 :
Left
 
 
Spent
 
 
Prem
 
 
 
 
 
 
$102 spent
 
 
Kalai
 
 
 
 
 
 
Spent
 
 
Anand
 
 
 
 
 
 
 
 
 
 
$459

Step 1: 17 units = $459 - $102

                          = $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 + $102 = $186

Step 6: 8 units = 8 x $21

                        = $168

 

Prem have $105 at first.

Kalai have $186 at first.

Anand have $168 at first.