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)  

Panimalar, Chellamal and Sriram have $440 altogether. Panimalar spent 13 of her money. Chellamal spent $90 and Sriram spent thrice the amount of what Panimalar has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Panimalar $ ___

Chellamal $ ___

Sriram $ ___


Answer:_______________




2)  

Kalai, Barathan and Balaji have $221 altogether. Kalai spent 15 of his money. Barathan spent $102 and Balaji spent 4 times 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 $ ___

Barathan $ ___

Balaji $ ___


Answer:_______________




3)  

Murugan, Pavi and Barathan have $756 altogether. Murugan spent 14 of his money. Pavi spent $60 and Barathan 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 $ ___

Pavi $ ___

Barathan $ ___


Answer:_______________




4)  

Tulasi, Chithra and Moorthi have $220 altogether. Tulasi spent 13 of her money. Chithra spent $60 and Moorthi spent thrice the amount of what Tulasi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Tulasi $ ___

Chithra $ ___

Moorthi $ ___


Answer:_______________




5)  

Anand, Kumar and Karna have $255 altogether. Anand spent 15 of his money. Kumar spent $102 and Karna 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 $ ___

Kumar $ ___

Karna $ ___


Answer:_______________




6)  

Sriram, Swathi and Kumar have $636 altogether. Sriram spent 14 of his money. Swathi spent $72 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 $ ___

Swathi $ ___

Kumar $ ___


Answer:_______________




7)  

Swathi, Tulasi and Prem have $340 altogether. Swathi spent 13 of her money. Tulasi 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 $ ___

Tulasi $ ___

Prem $ ___


Answer:_______________




8)  

Raj, Prem and Sriram have $204 altogether. Raj spent 15 of his money. Prem spent $102 and Sriram spent 4 times the amount of what Raj has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Raj $ ___

Prem $ ___

Sriram $ ___


Answer:_______________




9)  

Balaji, Panimalar and Murugan have $780 altogether. Balaji spent 14 of his money. Panimalar spent $48 and Murugan spent twice 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 $ ___

Panimalar $ ___

Murugan $ ___


Answer:_______________




10)  

Pavi, Tamilselvi and Barathan have $520 altogether. Pavi spent 13 of her money. Tamilselvi spent $100 and Barathan 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 $ ___

Tamilselvi $ ___

Barathan $ ___


Answer:_______________




 

1)  

Panimalar, Chellamal and Sriram have $440 altogether. Panimalar spent 13 of her money. Chellamal spent $90 and Sriram spent thrice the amount of what Panimalar has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Panimalar $ Answer: 105

Chellamal $ Answer: 160

Sriram $ Answer: 175


SOLUTION 1 :
Left
 
 
Spent
 
 
Panimalar
 
 
 
 
$90 spent
 
 
Chellamal
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
$440

Step 1: 10 units = $440 - $90

                          = $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 + $90 = $160

Step 6: 5 units = 5 x $35

                        = $175

 

Panimalar have $105 at first.

Chellamal have $160 at first.

Sriram have $175 at first.



2)  

Kalai, Barathan and Balaji have $221 altogether. Kalai spent 15 of his money. Barathan spent $102 and Balaji spent 4 times 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: 35

Barathan $ Answer: 130

Balaji $ Answer: 56


SOLUTION 1 :
Left
 
 
Spent
 
 
Kalai
 
 
 
 
 
 
$102 spent
 
 
Barathan
 
 
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
 
 
 
$221

Step 1: 17 units = $221 - $102

                          = $119

Step 2: 1 unit = $119 ÷ 17

                       = $7

Step 3: 5 units = 5 x $7

                        = $35

Step 4: 4 units = 4 x $7

                        = $28

Step 5: $28 + $102 = $130

Step 6: 8 units = 8 x $7

                        = $56

 

Kalai have $35 at first.

Barathan have $130 at first.

Balaji have $56 at first.



3)  

Murugan, Pavi and Barathan have $756 altogether. Murugan spent 14 of his money. Pavi spent $60 and Barathan 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: 232

Pavi $ Answer: 234

Barathan $ Answer: 290


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
$60 spent
 
 
Pavi
 
 
 
 
 
Spent
 
 
Barathan
 
 
 
 
 
 
 
$756

Step 1: 12 units = $756 - $60

                          = $696

Step 2: 1 unit = $696 ÷ 12

                       = $58

Step 3: 4 units = 4 x $58

                        = $232

Step 4: 3 units = 3 x $58

                        = $174

Step 5: $174 + $60 = $234

Step 6: 5 units = 5 x $58

                        = $290

 

Murugan have $232 at first.

Pavi have $234 at first.

Barathan have $290 at first.



4)  

Tulasi, Chithra and Moorthi have $220 altogether. Tulasi spent 13 of her money. Chithra spent $60 and Moorthi spent thrice the amount of what Tulasi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Tulasi $ Answer: 48

Chithra $ Answer: 92

Moorthi $ Answer: 80


SOLUTION 1 :
Left
 
 
Spent
 
 
Tulasi
 
 
 
 
$60 spent
 
 
Chithra
 
 
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
 
$220

Step 1: 10 units = $220 - $60

                          = $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 + $60 = $92

Step 6: 5 units = 5 x $16

                        = $80

 

Tulasi have $48 at first.

Chithra have $92 at first.

Moorthi have $80 at first.



5)  

Anand, Kumar and Karna have $255 altogether. Anand spent 15 of his money. Kumar spent $102 and Karna 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: 45

Kumar $ Answer: 138

Karna $ Answer: 72


SOLUTION 1 :
Left
 
 
Spent
 
 
Anand
 
 
 
 
 
 
$102 spent
 
 
Kumar
 
 
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
 
 
 
$255

Step 1: 17 units = $255 - $102

                          = $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 + $102 = $138

Step 6: 8 units = 8 x $9

                        = $72

 

Anand have $45 at first.

Kumar have $138 at first.

Karna have $72 at first.



6)  

Sriram, Swathi and Kumar have $636 altogether. Sriram spent 14 of his money. Swathi spent $72 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: 188

Swathi $ Answer: 213

Kumar $ Answer: 235


SOLUTION 1 :
Left
 
 
Spent
 
 
Sriram
 
 
 
 
 
$72 spent
 
 
Swathi
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
$636

Step 1: 12 units = $636 - $72

                          = $564

Step 2: 1 unit = $564 ÷ 12

                       = $47

Step 3: 4 units = 4 x $47

                        = $188

Step 4: 3 units = 3 x $47

                        = $141

Step 5: $141 + $72 = $213

Step 6: 5 units = 5 x $47

                        = $235

 

Sriram have $188 at first.

Swathi have $213 at first.

Kumar have $235 at first.



7)  

Swathi, Tulasi and Prem have $340 altogether. Swathi spent 13 of her money. Tulasi 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: 72

Tulasi $ Answer: 148

Prem $ Answer: 120


SOLUTION 1 :
Left
 
 
Spent
 
 
Swathi
 
 
 
 
$100 spent
 
 
Tulasi
 
 
 
 
Spent
 
 
Prem
 
 
 
 
 
 
 
$340

Step 1: 10 units = $340 - $100

                          = $240

Step 2: 1 unit = $240 ÷ 10

                       = $24

Step 3: 3 units = 3 x $24

                        = $72

Step 4: 2 units = 2 x $24

                        = $48

Step 5: $48 + $100 = $148

Step 6: 5 units = 5 x $24

                        = $120

 

Swathi have $72 at first.

Tulasi have $148 at first.

Prem have $120 at first.



8)  

Raj, Prem and Sriram have $204 altogether. Raj spent 15 of his money. Prem spent $102 and Sriram spent 4 times the amount of what Raj has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Raj $ Answer: 30

Prem $ Answer: 126

Sriram $ Answer: 48


SOLUTION 1 :
Left
 
 
Spent
 
 
Raj
 
 
 
 
 
 
$102 spent
 
 
Prem
 
 
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
 
 
 
$204

Step 1: 17 units = $204 - $102

                          = $102

Step 2: 1 unit = $102 ÷ 17

                       = $6

Step 3: 5 units = 5 x $6

                        = $30

Step 4: 4 units = 4 x $6

                        = $24

Step 5: $24 + $102 = $126

Step 6: 8 units = 8 x $6

                        = $48

 

Raj have $30 at first.

Prem have $126 at first.

Sriram have $48 at first.



9)  

Balaji, Panimalar and Murugan have $780 altogether. Balaji spent 14 of his money. Panimalar spent $48 and Murugan spent twice 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: 244

Panimalar $ Answer: 231

Murugan $ Answer: 305


SOLUTION 1 :
Left
 
 
Spent
 
 
Balaji
 
 
 
 
 
$48 spent
 
 
Panimalar
 
 
 
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
 
$780

Step 1: 12 units = $780 - $48

                          = $732

Step 2: 1 unit = $732 ÷ 12

                       = $61

Step 3: 4 units = 4 x $61

                        = $244

Step 4: 3 units = 3 x $61

                        = $183

Step 5: $183 + $48 = $231

Step 6: 5 units = 5 x $61

                        = $305

 

Balaji have $244 at first.

Panimalar have $231 at first.

Murugan have $305 at first.



10)  

Pavi, Tamilselvi and Barathan have $520 altogether. Pavi spent 13 of her money. Tamilselvi spent $100 and Barathan 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: 126

Tamilselvi $ Answer: 184

Barathan $ Answer: 210


SOLUTION 1 :
Left
 
 
Spent
 
 
Pavi
 
 
 
 
$100 spent
 
 
Tamilselvi
 
 
 
 
Spent
 
 
Barathan
 
 
 
 
 
 
 
$520

Step 1: 10 units = $520 - $100

                          = $420

Step 2: 1 unit = $420 ÷ 10

                       = $42

Step 3: 3 units = 3 x $42

                        = $126

Step 4: 2 units = 2 x $42

                        = $84

Step 5: $84 + $100 = $184

Step 6: 5 units = 5 x $42

                        = $210

 

Pavi have $126 at first.

Tamilselvi have $184 at first.

Barathan have $210 at first.