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, Ramani and Anand have $420 altogether. Murugan spent 14 of his money. Ramani spent $24 and Anand 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 $ ___

Ramani $ ___

Anand $ ___


Answer:_______________




2)  

Swathi, Kumutha and Prem have $220 altogether. Swathi spent 13 of her money. Kumutha spent $100 and Prem 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 $ ___

Kumutha $ ___

Prem $ ___


Answer:_______________




3)  

Barathan, Aravindh and Raj have $357 altogether. Barathan spent 15 of his money. Aravindh spent $51 and Raj spent 4 times 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 $ ___

Aravindh $ ___

Raj $ ___


Answer:_______________




4)  

Sriram, Haritha and Kumar have $504 altogether. Sriram spent 14 of his money. Haritha spent $48 and Kumar 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 $ ___

Kumar $ ___


Answer:_______________




5)  

Kumutha, Swathi and Selvan have $760 altogether. Kumutha spent 13 of her money. Swathi spent $90 and Selvan spent thrice the amount of what Kumutha has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Kumutha $ ___

Swathi $ ___

Selvan $ ___


Answer:_______________




6)  

Sriram, Balaji and Kumar have $816 altogether. Sriram spent 15 of his money. Balaji spent $34 and Kumar 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 $ ___

Balaji $ ___

Kumar $ ___


Answer:_______________




7)  

Sriram, Panimalar and Murugan have $456 altogether. Sriram spent 14 of his money. Panimalar spent $96 and Murugan 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 $ ___

Murugan $ ___


Answer:_______________




8)  

Chithra, Haritha and Chidambaram have $230 altogether. Chithra spent 13 of her money. Haritha spent $80 and Chidambaram 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 $ ___

Haritha $ ___

Chidambaram $ ___


Answer:_______________




9)  

Karna, Murugan and Pugal have $391 altogether. Karna spent 15 of his money. Murugan spent $34 and Pugal 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 $ ___

Murugan $ ___

Pugal $ ___


Answer:_______________




10)  

Barathan, Ramani and Selvan have $384 altogether. Barathan spent 14 of his money. Ramani spent $48 and Selvan 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 $ ___

Ramani $ ___

Selvan $ ___


Answer:_______________




 

1)  

Murugan, Ramani and Anand have $420 altogether. Murugan spent 14 of his money. Ramani spent $24 and Anand 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: 132

Ramani $ Answer: 123

Anand $ Answer: 165


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
$24 spent
 
 
Ramani
 
 
 
 
 
Spent
 
 
Anand
 
 
 
 
 
 
 
$420

Step 1: 12 units = $420 - $24

                          = $396

Step 2: 1 unit = $396 ÷ 12

                       = $33

Step 3: 4 units = 4 x $33

                        = $132

Step 4: 3 units = 3 x $33

                        = $99

Step 5: $99 + $24 = $123

Step 6: 5 units = 5 x $33

                        = $165

 

Murugan have $132 at first.

Ramani have $123 at first.

Anand have $165 at first.



2)  

Swathi, Kumutha and Prem have $220 altogether. Swathi spent 13 of her money. Kumutha spent $100 and Prem 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: 36

Kumutha $ Answer: 124

Prem $ Answer: 60


SOLUTION 1 :
Left
 
 
Spent
 
 
Swathi
 
 
 
 
$100 spent
 
 
Kumutha
 
 
 
 
Spent
 
 
Prem
 
 
 
 
 
 
 
$220

Step 1: 10 units = $220 - $100

                          = $120

Step 2: 1 unit = $120 ÷ 10

                       = $12

Step 3: 3 units = 3 x $12

                        = $36

Step 4: 2 units = 2 x $12

                        = $24

Step 5: $24 + $100 = $124

Step 6: 5 units = 5 x $12

                        = $60

 

Swathi have $36 at first.

Kumutha have $124 at first.

Prem have $60 at first.



3)  

Barathan, Aravindh and Raj have $357 altogether. Barathan spent 15 of his money. Aravindh spent $51 and Raj spent 4 times 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: 90

Aravindh $ Answer: 123

Raj $ Answer: 144


SOLUTION 1 :
Left
 
 
Spent
 
 
Barathan
 
 
 
 
 
 
$51 spent
 
 
Aravindh
 
 
 
 
 
 
Spent
 
 
Raj
 
 
 
 
 
 
 
 
 
 
$357

Step 1: 17 units = $357 - $51

                          = $306

Step 2: 1 unit = $306 ÷ 17

                       = $18

Step 3: 5 units = 5 x $18

                        = $90

Step 4: 4 units = 4 x $18

                        = $72

Step 5: $72 + $51 = $123

Step 6: 8 units = 8 x $18

                        = $144

 

Barathan have $90 at first.

Aravindh have $123 at first.

Raj have $144 at first.



4)  

Sriram, Haritha and Kumar have $504 altogether. Sriram spent 14 of his money. Haritha spent $48 and Kumar 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: 152

Haritha $ Answer: 162

Kumar $ Answer: 190


SOLUTION 1 :
Left
 
 
Spent
 
 
Sriram
 
 
 
 
 
$48 spent
 
 
Haritha
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
$504

Step 1: 12 units = $504 - $48

                          = $456

Step 2: 1 unit = $456 ÷ 12

                       = $38

Step 3: 4 units = 4 x $38

                        = $152

Step 4: 3 units = 3 x $38

                        = $114

Step 5: $114 + $48 = $162

Step 6: 5 units = 5 x $38

                        = $190

 

Sriram have $152 at first.

Haritha have $162 at first.

Kumar have $190 at first.



5)  

Kumutha, Swathi and Selvan have $760 altogether. Kumutha spent 13 of her money. Swathi spent $90 and Selvan spent thrice the amount of what Kumutha has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Kumutha $ Answer: 201

Swathi $ Answer: 224

Selvan $ Answer: 335


SOLUTION 1 :
Left
 
 
Spent
 
 
Kumutha
 
 
 
 
$90 spent
 
 
Swathi
 
 
 
 
Spent
 
 
Selvan
 
 
 
 
 
 
 
$760

Step 1: 10 units = $760 - $90

                          = $670

Step 2: 1 unit = $670 ÷ 10

                       = $67

Step 3: 3 units = 3 x $67

                        = $201

Step 4: 2 units = 2 x $67

                        = $134

Step 5: $134 + $90 = $224

Step 6: 5 units = 5 x $67

                        = $335

 

Kumutha have $201 at first.

Swathi have $224 at first.

Selvan have $335 at first.



6)  

Sriram, Balaji and Kumar have $816 altogether. Sriram spent 15 of his money. Balaji spent $34 and Kumar 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: 230

Balaji $ Answer: 218

Kumar $ Answer: 368


SOLUTION 1 :
Left
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
$34 spent
 
 
Balaji
 
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
 
 
 
$816

Step 1: 17 units = $816 - $34

                          = $782

Step 2: 1 unit = $782 ÷ 17

                       = $46

Step 3: 5 units = 5 x $46

                        = $230

Step 4: 4 units = 4 x $46

                        = $184

Step 5: $184 + $34 = $218

Step 6: 8 units = 8 x $46

                        = $368

 

Sriram have $230 at first.

Balaji have $218 at first.

Kumar have $368 at first.



7)  

Sriram, Panimalar and Murugan have $456 altogether. Sriram spent 14 of his money. Panimalar spent $96 and Murugan 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: 120

Panimalar $ Answer: 186

Murugan $ Answer: 150


SOLUTION 1 :
Left
 
 
Spent
 
 
Sriram
 
 
 
 
 
$96 spent
 
 
Panimalar
 
 
 
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
 
$456

Step 1: 12 units = $456 - $96

                          = $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 + $96 = $186

Step 6: 5 units = 5 x $30

                        = $150

 

Sriram have $120 at first.

Panimalar have $186 at first.

Murugan have $150 at first.



8)  

Chithra, Haritha and Chidambaram have $230 altogether. Chithra spent 13 of her money. Haritha spent $80 and Chidambaram 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: 45

Haritha $ Answer: 110

Chidambaram $ Answer: 75


SOLUTION 1 :
Left
 
 
Spent
 
 
Chithra
 
 
 
 
$80 spent
 
 
Haritha
 
 
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
 
 
$230

Step 1: 10 units = $230 - $80

                          = $150

Step 2: 1 unit = $150 ÷ 10

                       = $15

Step 3: 3 units = 3 x $15

                        = $45

Step 4: 2 units = 2 x $15

                        = $30

Step 5: $30 + $80 = $110

Step 6: 5 units = 5 x $15

                        = $75

 

Chithra have $45 at first.

Haritha have $110 at first.

Chidambaram have $75 at first.



9)  

Karna, Murugan and Pugal have $391 altogether. Karna spent 15 of his money. Murugan spent $34 and Pugal 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: 105

Murugan $ Answer: 118

Pugal $ Answer: 168


SOLUTION 1 :
Left
 
 
Spent
 
 
Karna
 
 
 
 
 
 
$34 spent
 
 
Murugan
 
 
 
 
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
 
 
 
 
$391

Step 1: 17 units = $391 - $34

                          = $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 + $34 = $118

Step 6: 8 units = 8 x $21

                        = $168

 

Karna have $105 at first.

Murugan have $118 at first.

Pugal have $168 at first.



10)  

Barathan, Ramani and Selvan have $384 altogether. Barathan spent 14 of his money. Ramani spent $48 and Selvan 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: 112

Ramani $ Answer: 132

Selvan $ Answer: 140


SOLUTION 1 :
Left
 
 
Spent
 
 
Barathan
 
 
 
 
 
$48 spent
 
 
Ramani
 
 
 
 
 
Spent
 
 
Selvan
 
 
 
 
 
 
 
$384

Step 1: 12 units = $384 - $48

                          = $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 + $48 = $132

Step 6: 5 units = 5 x $28

                        = $140

 

Barathan have $112 at first.

Ramani have $132 at first.

Selvan have $140 at first.