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)  

Poovazhagi, Savithri and Prem have $420 altogether. Poovazhagi spent 13 of her money. Savithri spent $70 and Prem spent thrice the amount of what Poovazhagi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Poovazhagi $ ___

Savithri $ ___

Prem $ ___


Answer:_______________




2)  

Kumar, Balaji and Sriram have $561 altogether. Kumar spent 15 of his money. Balaji spent $102 and Sriram spent 4 times 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 $ ___

Balaji $ ___

Sriram $ ___


Answer:_______________




3)  

Chidambaram, Poongodi and Kalai have $432 altogether. Chidambaram spent 14 of his money. Poongodi spent $96 and Kalai 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 $ ___

Poongodi $ ___

Kalai $ ___


Answer:_______________




4)  

Nandini, Swathi and Kumar have $500 altogether. Nandini spent 13 of her money. Swathi spent $70 and Kumar 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 $ ___

Swathi $ ___

Kumar $ ___


Answer:_______________




5)  

Pugal, Barathan and Anand have $731 altogether. Pugal spent 15 of his money. Barathan spent $85 and Anand 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 $ ___

Barathan $ ___

Anand $ ___


Answer:_______________




6)  

Anand, Savithri and Kumar have $552 altogether. Anand spent 14 of his money. Savithri spent $36 and Kumar spent twice 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 $ ___

Savithri $ ___

Kumar $ ___


Answer:_______________




7)  

Pavi, Chellamal and Karna have $340 altogether. Pavi spent 13 of her money. Chellamal spent $60 and Karna 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 $ ___

Karna $ ___


Answer:_______________




8)  

Murugan, Moorthi and Sriram have $816 altogether. Murugan spent 15 of his money. Moorthi spent $68 and Sriram 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 $ ___

Moorthi $ ___

Sriram $ ___


Answer:_______________




9)  

Chidambaram, Poovazhagi and Karna have $540 altogether. Chidambaram spent 14 of his money. Poovazhagi spent $36 and Karna 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 $ ___

Poovazhagi $ ___

Karna $ ___


Answer:_______________




10)  

Ramani, Swathi and Narayanan have $460 altogether. Ramani spent 13 of her money. Swathi spent $100 and Narayanan spent thrice the amount of what Ramani has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Ramani $ ___

Swathi $ ___

Narayanan $ ___


Answer:_______________




 

1)  

Poovazhagi, Savithri and Prem have $420 altogether. Poovazhagi spent 13 of her money. Savithri spent $70 and Prem spent thrice the amount of what Poovazhagi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Poovazhagi $ Answer: 105

Savithri $ Answer: 140

Prem $ Answer: 175


SOLUTION 1 :
Left
 
 
Spent
 
 
Poovazhagi
 
 
 
 
$70 spent
 
 
Savithri
 
 
 
 
Spent
 
 
Prem
 
 
 
 
 
 
 
$420

Step 1: 10 units = $420 - $70

                          = $350

Step 2: 1 unit = $350 ÷ 10

                       = $35

Step 3: 3 units = 3 x $35

                        = $105

Step 4: 2 units = 2 x $35

                        = $70

Step 5: $70 + $70 = $140

Step 6: 5 units = 5 x $35

                        = $175

 

Poovazhagi have $105 at first.

Savithri have $140 at first.

Prem have $175 at first.



2)  

Kumar, Balaji and Sriram have $561 altogether. Kumar spent 15 of his money. Balaji spent $102 and Sriram spent 4 times 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: 135

Balaji $ Answer: 210

Sriram $ Answer: 216


SOLUTION 1 :
Left
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
$102 spent
 
 
Balaji
 
 
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
 
 
 
$561

Step 1: 17 units = $561 - $102

                          = $459

Step 2: 1 unit = $459 ÷ 17

                       = $27

Step 3: 5 units = 5 x $27

                        = $135

Step 4: 4 units = 4 x $27

                        = $108

Step 5: $108 + $102 = $210

Step 6: 8 units = 8 x $27

                        = $216

 

Kumar have $135 at first.

Balaji have $210 at first.

Sriram have $216 at first.



3)  

Chidambaram, Poongodi and Kalai have $432 altogether. Chidambaram spent 14 of his money. Poongodi spent $96 and Kalai 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: 112

Poongodi $ Answer: 180

Kalai $ Answer: 140


SOLUTION 1 :
Left
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
$96 spent
 
 
Poongodi
 
 
 
 
 
Spent
 
 
Kalai
 
 
 
 
 
 
 
$432

Step 1: 12 units = $432 - $96

                          = $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 + $96 = $180

Step 6: 5 units = 5 x $28

                        = $140

 

Chidambaram have $112 at first.

Poongodi have $180 at first.

Kalai have $140 at first.



4)  

Nandini, Swathi and Kumar have $500 altogether. Nandini spent 13 of her money. Swathi spent $70 and Kumar 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: 129

Swathi $ Answer: 156

Kumar $ Answer: 215


SOLUTION 1 :
Left
 
 
Spent
 
 
Nandini
 
 
 
 
$70 spent
 
 
Swathi
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
$500

Step 1: 10 units = $500 - $70

                          = $430

Step 2: 1 unit = $430 ÷ 10

                       = $43

Step 3: 3 units = 3 x $43

                        = $129

Step 4: 2 units = 2 x $43

                        = $86

Step 5: $86 + $70 = $156

Step 6: 5 units = 5 x $43

                        = $215

 

Nandini have $129 at first.

Swathi have $156 at first.

Kumar have $215 at first.



5)  

Pugal, Barathan and Anand have $731 altogether. Pugal spent 15 of his money. Barathan spent $85 and Anand 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: 190

Barathan $ Answer: 237

Anand $ Answer: 304


SOLUTION 1 :
Left
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
$85 spent
 
 
Barathan
 
 
 
 
 
 
Spent
 
 
Anand
 
 
 
 
 
 
 
 
 
 
$731

Step 1: 17 units = $731 - $85

                          = $646

Step 2: 1 unit = $646 ÷ 17

                       = $38

Step 3: 5 units = 5 x $38

                        = $190

Step 4: 4 units = 4 x $38

                        = $152

Step 5: $152 + $85 = $237

Step 6: 8 units = 8 x $38

                        = $304

 

Pugal have $190 at first.

Barathan have $237 at first.

Anand have $304 at first.



6)  

Anand, Savithri and Kumar have $552 altogether. Anand spent 14 of his money. Savithri spent $36 and Kumar spent twice 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: 172

Savithri $ Answer: 165

Kumar $ Answer: 215


SOLUTION 1 :
Left
 
 
Spent
 
 
Anand
 
 
 
 
 
$36 spent
 
 
Savithri
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
$552

Step 1: 12 units = $552 - $36

                          = $516

Step 2: 1 unit = $516 ÷ 12

                       = $43

Step 3: 4 units = 4 x $43

                        = $172

Step 4: 3 units = 3 x $43

                        = $129

Step 5: $129 + $36 = $165

Step 6: 5 units = 5 x $43

                        = $215

 

Anand have $172 at first.

Savithri have $165 at first.

Kumar have $215 at first.



7)  

Pavi, Chellamal and Karna have $340 altogether. Pavi spent 13 of her money. Chellamal spent $60 and Karna 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: 84

Chellamal $ Answer: 116

Karna $ Answer: 140


SOLUTION 1 :
Left
 
 
Spent
 
 
Pavi
 
 
 
 
$60 spent
 
 
Chellamal
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
$340

Step 1: 10 units = $340 - $60

                          = $280

Step 2: 1 unit = $280 ÷ 10

                       = $28

Step 3: 3 units = 3 x $28

                        = $84

Step 4: 2 units = 2 x $28

                        = $56

Step 5: $56 + $60 = $116

Step 6: 5 units = 5 x $28

                        = $140

 

Pavi have $84 at first.

Chellamal have $116 at first.

Karna have $140 at first.



8)  

Murugan, Moorthi and Sriram have $816 altogether. Murugan spent 15 of his money. Moorthi spent $68 and Sriram 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: 220

Moorthi $ Answer: 244

Sriram $ Answer: 352


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
$68 spent
 
 
Moorthi
 
 
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
 
 
 
$816

Step 1: 17 units = $816 - $68

                          = $748

Step 2: 1 unit = $748 ÷ 17

                       = $44

Step 3: 5 units = 5 x $44

                        = $220

Step 4: 4 units = 4 x $44

                        = $176

Step 5: $176 + $68 = $244

Step 6: 8 units = 8 x $44

                        = $352

 

Murugan have $220 at first.

Moorthi have $244 at first.

Sriram have $352 at first.



9)  

Chidambaram, Poovazhagi and Karna have $540 altogether. Chidambaram spent 14 of his money. Poovazhagi spent $36 and Karna 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: 168

Poovazhagi $ Answer: 162

Karna $ Answer: 210


SOLUTION 1 :
Left
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
$36 spent
 
 
Poovazhagi
 
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
$540

Step 1: 12 units = $540 - $36

                          = $504

Step 2: 1 unit = $504 ÷ 12

                       = $42

Step 3: 4 units = 4 x $42

                        = $168

Step 4: 3 units = 3 x $42

                        = $126

Step 5: $126 + $36 = $162

Step 6: 5 units = 5 x $42

                        = $210

 

Chidambaram have $168 at first.

Poovazhagi have $162 at first.

Karna have $210 at first.



10)  

Ramani, Swathi and Narayanan have $460 altogether. Ramani spent 13 of her money. Swathi spent $100 and Narayanan spent thrice the amount of what Ramani has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Ramani $ Answer: 108

Swathi $ Answer: 172

Narayanan $ Answer: 180


SOLUTION 1 :
Left
 
 
Spent
 
 
Ramani
 
 
 
 
$100 spent
 
 
Swathi
 
 
 
 
Spent
 
 
Narayanan
 
 
 
 
 
 
 
$460

Step 1: 10 units = $460 - $100

                          = $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 + $100 = $172

Step 6: 5 units = 5 x $36

                        = $180

 

Ramani have $108 at first.

Swathi have $172 at first.

Narayanan have $180 at first.