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, Tulasi and Narayanan have $720 altogether. Murugan spent 14 of his money. Tulasi spent $84 and Narayanan 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 $ ___

Tulasi $ ___

Narayanan $ ___


Answer:_______________




2)  

Poovazhagi, Panimalar and Sriram have $620 altogether. Poovazhagi spent 13 of her money. Panimalar spent $60 and Sriram 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 $ ___

Panimalar $ ___

Sriram $ ___


Answer:_______________




3)  

Kumar, Karna and Kalai have $459 altogether. Kumar spent 15 of his money. Karna spent $51 and Kalai 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 $ ___

Karna $ ___

Kalai $ ___


Answer:_______________




4)  

Murugan, Amutha and Karna have $396 altogether. Murugan spent 14 of his money. Amutha spent $36 and Karna 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 $ ___

Karna $ ___


Answer:_______________




5)  

Keerthi, Indra and Aravindh have $510 altogether. Keerthi spent 13 of her money. Indra spent $110 and Aravindh 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 $ ___

Indra $ ___

Aravindh $ ___


Answer:_______________




6)  

Balaji, Anand and Kumar have $527 altogether. Balaji spent 15 of his money. Anand spent $51 and Kumar 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 $ ___

Anand $ ___

Kumar $ ___


Answer:_______________




7)  

Pugal, Poovazhagi and Aravindh have $432 altogether. Pugal spent 14 of his money. Poovazhagi spent $24 and Aravindh 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 $ ___

Poovazhagi $ ___

Aravindh $ ___


Answer:_______________




8)  

Thamarai, Parveen and Sriram have $620 altogether. Thamarai spent 13 of her money. Parveen spent $60 and Sriram spent thrice the amount of what Thamarai has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Thamarai $ ___

Parveen $ ___

Sriram $ ___


Answer:_______________




9)  

Karna, Balaji and Aravindh have $833 altogether. Karna spent 15 of his money. Balaji spent $68 and Aravindh 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 $ ___

Balaji $ ___

Aravindh $ ___


Answer:_______________




10)  

Sriram, Panimalar and Kalai have $792 altogether. Sriram spent 14 of his money. Panimalar spent $84 and Kalai 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 $ ___

Panimalar $ ___

Kalai $ ___


Answer:_______________




 

1)  

Murugan, Tulasi and Narayanan have $720 altogether. Murugan spent 14 of his money. Tulasi spent $84 and Narayanan 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: 212

Tulasi $ Answer: 243

Narayanan $ Answer: 265


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
$84 spent
 
 
Tulasi
 
 
 
 
 
Spent
 
 
Narayanan
 
 
 
 
 
 
 
$720

Step 1: 12 units = $720 - $84

                          = $636

Step 2: 1 unit = $636 ÷ 12

                       = $53

Step 3: 4 units = 4 x $53

                        = $212

Step 4: 3 units = 3 x $53

                        = $159

Step 5: $159 + $84 = $243

Step 6: 5 units = 5 x $53

                        = $265

 

Murugan have $212 at first.

Tulasi have $243 at first.

Narayanan have $265 at first.



2)  

Poovazhagi, Panimalar and Sriram have $620 altogether. Poovazhagi spent 13 of her money. Panimalar spent $60 and Sriram 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: 168

Panimalar $ Answer: 172

Sriram $ Answer: 280


SOLUTION 1 :
Left
 
 
Spent
 
 
Poovazhagi
 
 
 
 
$60 spent
 
 
Panimalar
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
$620

Step 1: 10 units = $620 - $60

                          = $560

Step 2: 1 unit = $560 ÷ 10

                       = $56

Step 3: 3 units = 3 x $56

                        = $168

Step 4: 2 units = 2 x $56

                        = $112

Step 5: $112 + $60 = $172

Step 6: 5 units = 5 x $56

                        = $280

 

Poovazhagi have $168 at first.

Panimalar have $172 at first.

Sriram have $280 at first.



3)  

Kumar, Karna and Kalai have $459 altogether. Kumar spent 15 of his money. Karna spent $51 and Kalai 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: 120

Karna $ Answer: 147

Kalai $ Answer: 192


SOLUTION 1 :
Left
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
$51 spent
 
 
Karna
 
 
 
 
 
 
Spent
 
 
Kalai
 
 
 
 
 
 
 
 
 
 
$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

 

Kumar have $120 at first.

Karna have $147 at first.

Kalai have $192 at first.



4)  

Murugan, Amutha and Karna have $396 altogether. Murugan spent 14 of his money. Amutha spent $36 and Karna 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: 120

Amutha $ Answer: 126

Karna $ Answer: 150


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
$36 spent
 
 
Amutha
 
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
$396

Step 1: 12 units = $396 - $36

                          = $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 + $36 = $126

Step 6: 5 units = 5 x $30

                        = $150

 

Murugan have $120 at first.

Amutha have $126 at first.

Karna have $150 at first.



5)  

Keerthi, Indra and Aravindh have $510 altogether. Keerthi spent 13 of her money. Indra spent $110 and Aravindh 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: 120

Indra $ Answer: 190

Aravindh $ Answer: 200


SOLUTION 1 :
Left
 
 
Spent
 
 
Keerthi
 
 
 
 
$110 spent
 
 
Indra
 
 
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
 
$510

Step 1: 10 units = $510 - $110

                          = $400

Step 2: 1 unit = $400 ÷ 10

                       = $40

Step 3: 3 units = 3 x $40

                        = $120

Step 4: 2 units = 2 x $40

                        = $80

Step 5: $80 + $110 = $190

Step 6: 5 units = 5 x $40

                        = $200

 

Keerthi have $120 at first.

Indra have $190 at first.

Aravindh have $200 at first.



6)  

Balaji, Anand and Kumar have $527 altogether. Balaji spent 15 of his money. Anand spent $51 and Kumar 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: 140

Anand $ Answer: 163

Kumar $ Answer: 224


SOLUTION 1 :
Left
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
$51 spent
 
 
Anand
 
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
 
 
 
$527

Step 1: 17 units = $527 - $51

                          = $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 + $51 = $163

Step 6: 8 units = 8 x $28

                        = $224

 

Balaji have $140 at first.

Anand have $163 at first.

Kumar have $224 at first.



7)  

Pugal, Poovazhagi and Aravindh have $432 altogether. Pugal spent 14 of his money. Poovazhagi spent $24 and Aravindh 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: 136

Poovazhagi $ Answer: 126

Aravindh $ Answer: 170


SOLUTION 1 :
Left
 
 
Spent
 
 
Pugal
 
 
 
 
 
$24 spent
 
 
Poovazhagi
 
 
 
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
 
$432

Step 1: 12 units = $432 - $24

                          = $408

Step 2: 1 unit = $408 ÷ 12

                       = $34

Step 3: 4 units = 4 x $34

                        = $136

Step 4: 3 units = 3 x $34

                        = $102

Step 5: $102 + $24 = $126

Step 6: 5 units = 5 x $34

                        = $170

 

Pugal have $136 at first.

Poovazhagi have $126 at first.

Aravindh have $170 at first.



8)  

Thamarai, Parveen and Sriram have $620 altogether. Thamarai spent 13 of her money. Parveen spent $60 and Sriram spent thrice the amount of what Thamarai has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Thamarai $ Answer: 168

Parveen $ Answer: 172

Sriram $ Answer: 280


SOLUTION 1 :
Left
 
 
Spent
 
 
Thamarai
 
 
 
 
$60 spent
 
 
Parveen
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
$620

Step 1: 10 units = $620 - $60

                          = $560

Step 2: 1 unit = $560 ÷ 10

                       = $56

Step 3: 3 units = 3 x $56

                        = $168

Step 4: 2 units = 2 x $56

                        = $112

Step 5: $112 + $60 = $172

Step 6: 5 units = 5 x $56

                        = $280

 

Thamarai have $168 at first.

Parveen have $172 at first.

Sriram have $280 at first.



9)  

Karna, Balaji and Aravindh have $833 altogether. Karna spent 15 of his money. Balaji spent $68 and Aravindh 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: 225

Balaji $ Answer: 248

Aravindh $ Answer: 360


SOLUTION 1 :
Left
 
 
Spent
 
 
Karna
 
 
 
 
 
 
$68 spent
 
 
Balaji
 
 
 
 
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
 
 
 
 
$833

Step 1: 17 units = $833 - $68

                          = $765

Step 2: 1 unit = $765 ÷ 17

                       = $45

Step 3: 5 units = 5 x $45

                        = $225

Step 4: 4 units = 4 x $45

                        = $180

Step 5: $180 + $68 = $248

Step 6: 8 units = 8 x $45

                        = $360

 

Karna have $225 at first.

Balaji have $248 at first.

Aravindh have $360 at first.



10)  

Sriram, Panimalar and Kalai have $792 altogether. Sriram spent 14 of his money. Panimalar spent $84 and Kalai 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: 236

Panimalar $ Answer: 261

Kalai $ Answer: 295


SOLUTION 1 :
Left
 
 
Spent
 
 
Sriram
 
 
 
 
 
$84 spent
 
 
Panimalar
 
 
 
 
 
Spent
 
 
Kalai
 
 
 
 
 
 
 
$792

Step 1: 12 units = $792 - $84

                          = $708

Step 2: 1 unit = $708 ÷ 12

                       = $59

Step 3: 4 units = 4 x $59

                        = $236

Step 4: 3 units = 3 x $59

                        = $177

Step 5: $177 + $84 = $261

Step 6: 5 units = 5 x $59

                        = $295

 

Sriram have $236 at first.

Panimalar have $261 at first.

Kalai have $295 at first.