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)  

Mithra, Tamilselvi and Moorthi have $490 altogether. Mithra spent 13 of her money. Tamilselvi spent $120 and Moorthi spent thrice the amount of what Mithra has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Mithra $ ___

Tamilselvi $ ___

Moorthi $ ___


Answer:_______________




2)  

Moorthi, Chidambaram and Barathan have $408 altogether. Moorthi spent 15 of his money. Chidambaram spent $34 and Barathan spent 4 times the amount of what Moorthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Moorthi $ ___

Chidambaram $ ___

Barathan $ ___


Answer:_______________




3)  

Aravindh, Swathi and Karna have $672 altogether. Aravindh spent 14 of his money. Swathi spent $72 and Karna spent twice 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 $ ___

Swathi $ ___

Karna $ ___


Answer:_______________




4)  

Ramani, Indra and Balaji have $630 altogether. Ramani spent 13 of her money. Indra spent $120 and Balaji 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 $ ___

Indra $ ___

Balaji $ ___


Answer:_______________




5)  

Balaji, Raj and Pugal have $578 altogether. Balaji spent 15 of his money. Raj spent $85 and Pugal 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 $ ___

Raj $ ___

Pugal $ ___


Answer:_______________




6)  

Aravindh, Chithra and Balaji have $636 altogether. Aravindh spent 14 of his money. Chithra spent $96 and Balaji spent twice 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 $ ___

Chithra $ ___

Balaji $ ___


Answer:_______________




7)  

Pavi, Amutha and Karna have $450 altogether. Pavi spent 13 of her money. Amutha spent $100 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 $ ___

Amutha $ ___

Karna $ ___


Answer:_______________




8)  

Moorthi, Kalai and Aravindh have $680 altogether. Moorthi spent 15 of his money. Kalai spent $102 and Aravindh spent 4 times the amount of what Moorthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Moorthi $ ___

Kalai $ ___

Aravindh $ ___


Answer:_______________




9)  

Balaji, Thamarai and Barathan have $504 altogether. Balaji spent 14 of his money. Thamarai spent $84 and Barathan 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 $ ___

Thamarai $ ___

Barathan $ ___


Answer:_______________




10)  

Pavi, Tulasi and Sriram have $300 altogether. Pavi spent 13 of her money. Tulasi spent $100 and Sriram 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 $ ___

Tulasi $ ___

Sriram $ ___


Answer:_______________




 

1)  

Mithra, Tamilselvi and Moorthi have $490 altogether. Mithra spent 13 of her money. Tamilselvi spent $120 and Moorthi spent thrice the amount of what Mithra has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Mithra $ Answer: 111

Tamilselvi $ Answer: 194

Moorthi $ Answer: 185


SOLUTION 1 :
Left
 
 
Spent
 
 
Mithra
 
 
 
 
$120 spent
 
 
Tamilselvi
 
 
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
 
$490

Step 1: 10 units = $490 - $120

                          = $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 + $120 = $194

Step 6: 5 units = 5 x $37

                        = $185

 

Mithra have $111 at first.

Tamilselvi have $194 at first.

Moorthi have $185 at first.



2)  

Moorthi, Chidambaram and Barathan have $408 altogether. Moorthi spent 15 of his money. Chidambaram spent $34 and Barathan spent 4 times the amount of what Moorthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Moorthi $ Answer: 110

Chidambaram $ Answer: 122

Barathan $ Answer: 176


SOLUTION 1 :
Left
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
$34 spent
 
 
Chidambaram
 
 
 
 
 
 
Spent
 
 
Barathan
 
 
 
 
 
 
 
 
 
 
$408

Step 1: 17 units = $408 - $34

                          = $374

Step 2: 1 unit = $374 ÷ 17

                       = $22

Step 3: 5 units = 5 x $22

                        = $110

Step 4: 4 units = 4 x $22

                        = $88

Step 5: $88 + $34 = $122

Step 6: 8 units = 8 x $22

                        = $176

 

Moorthi have $110 at first.

Chidambaram have $122 at first.

Barathan have $176 at first.



3)  

Aravindh, Swathi and Karna have $672 altogether. Aravindh spent 14 of his money. Swathi spent $72 and Karna spent twice 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: 200

Swathi $ Answer: 222

Karna $ Answer: 250


SOLUTION 1 :
Left
 
 
Spent
 
 
Aravindh
 
 
 
 
 
$72 spent
 
 
Swathi
 
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
$672

Step 1: 12 units = $672 - $72

                          = $600

Step 2: 1 unit = $600 ÷ 12

                       = $50

Step 3: 4 units = 4 x $50

                        = $200

Step 4: 3 units = 3 x $50

                        = $150

Step 5: $150 + $72 = $222

Step 6: 5 units = 5 x $50

                        = $250

 

Aravindh have $200 at first.

Swathi have $222 at first.

Karna have $250 at first.



4)  

Ramani, Indra and Balaji have $630 altogether. Ramani spent 13 of her money. Indra spent $120 and Balaji 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: 153

Indra $ Answer: 222

Balaji $ Answer: 255


SOLUTION 1 :
Left
 
 
Spent
 
 
Ramani
 
 
 
 
$120 spent
 
 
Indra
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
$630

Step 1: 10 units = $630 - $120

                          = $510

Step 2: 1 unit = $510 ÷ 10

                       = $51

Step 3: 3 units = 3 x $51

                        = $153

Step 4: 2 units = 2 x $51

                        = $102

Step 5: $102 + $120 = $222

Step 6: 5 units = 5 x $51

                        = $255

 

Ramani have $153 at first.

Indra have $222 at first.

Balaji have $255 at first.



5)  

Balaji, Raj and Pugal have $578 altogether. Balaji spent 15 of his money. Raj spent $85 and Pugal 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: 145

Raj $ Answer: 201

Pugal $ Answer: 232


SOLUTION 1 :
Left
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
$85 spent
 
 
Raj
 
 
 
 
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
 
 
 
 
$578

Step 1: 17 units = $578 - $85

                          = $493

Step 2: 1 unit = $493 ÷ 17

                       = $29

Step 3: 5 units = 5 x $29

                        = $145

Step 4: 4 units = 4 x $29

                        = $116

Step 5: $116 + $85 = $201

Step 6: 8 units = 8 x $29

                        = $232

 

Balaji have $145 at first.

Raj have $201 at first.

Pugal have $232 at first.



6)  

Aravindh, Chithra and Balaji have $636 altogether. Aravindh spent 14 of his money. Chithra spent $96 and Balaji spent twice 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: 180

Chithra $ Answer: 231

Balaji $ Answer: 225


SOLUTION 1 :
Left
 
 
Spent
 
 
Aravindh
 
 
 
 
 
$96 spent
 
 
Chithra
 
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
$636

Step 1: 12 units = $636 - $96

                          = $540

Step 2: 1 unit = $540 ÷ 12

                       = $45

Step 3: 4 units = 4 x $45

                        = $180

Step 4: 3 units = 3 x $45

                        = $135

Step 5: $135 + $96 = $231

Step 6: 5 units = 5 x $45

                        = $225

 

Aravindh have $180 at first.

Chithra have $231 at first.

Balaji have $225 at first.



7)  

Pavi, Amutha and Karna have $450 altogether. Pavi spent 13 of her money. Amutha spent $100 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: 105

Amutha $ Answer: 170

Karna $ Answer: 175


SOLUTION 1 :
Left
 
 
Spent
 
 
Pavi
 
 
 
 
$100 spent
 
 
Amutha
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
$450

Step 1: 10 units = $450 - $100

                          = $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 + $100 = $170

Step 6: 5 units = 5 x $35

                        = $175

 

Pavi have $105 at first.

Amutha have $170 at first.

Karna have $175 at first.



8)  

Moorthi, Kalai and Aravindh have $680 altogether. Moorthi spent 15 of his money. Kalai spent $102 and Aravindh spent 4 times the amount of what Moorthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Moorthi $ Answer: 170

Kalai $ Answer: 238

Aravindh $ Answer: 272


SOLUTION 1 :
Left
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
$102 spent
 
 
Kalai
 
 
 
 
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
 
 
 
 
$680

Step 1: 17 units = $680 - $102

                          = $578

Step 2: 1 unit = $578 ÷ 17

                       = $34

Step 3: 5 units = 5 x $34

                        = $170

Step 4: 4 units = 4 x $34

                        = $136

Step 5: $136 + $102 = $238

Step 6: 8 units = 8 x $34

                        = $272

 

Moorthi have $170 at first.

Kalai have $238 at first.

Aravindh have $272 at first.



9)  

Balaji, Thamarai and Barathan have $504 altogether. Balaji spent 14 of his money. Thamarai spent $84 and Barathan 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: 140

Thamarai $ Answer: 189

Barathan $ Answer: 175


SOLUTION 1 :
Left
 
 
Spent
 
 
Balaji
 
 
 
 
 
$84 spent
 
 
Thamarai
 
 
 
 
 
Spent
 
 
Barathan
 
 
 
 
 
 
 
$504

Step 1: 12 units = $504 - $84

                          = $420

Step 2: 1 unit = $420 ÷ 12

                       = $35

Step 3: 4 units = 4 x $35

                        = $140

Step 4: 3 units = 3 x $35

                        = $105

Step 5: $105 + $84 = $189

Step 6: 5 units = 5 x $35

                        = $175

 

Balaji have $140 at first.

Thamarai have $189 at first.

Barathan have $175 at first.



10)  

Pavi, Tulasi and Sriram have $300 altogether. Pavi spent 13 of her money. Tulasi spent $100 and Sriram 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: 60

Tulasi $ Answer: 140

Sriram $ Answer: 100


SOLUTION 1 :
Left
 
 
Spent
 
 
Pavi
 
 
 
 
$100 spent
 
 
Tulasi
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
$300

Step 1: 10 units = $300 - $100

                          = $200

Step 2: 1 unit = $200 ÷ 10

                       = $20

Step 3: 3 units = 3 x $20

                        = $60

Step 4: 2 units = 2 x $20

                        = $40

Step 5: $40 + $100 = $140

Step 6: 5 units = 5 x $20

                        = $100

 

Pavi have $60 at first.

Tulasi have $140 at first.

Sriram have $100 at first.