Scroll:Fractions >> Model Approach >> ps (380)


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)  

Aravindh spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $496 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




2)  

Tulasi spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $885 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




3)  

Aravindh spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $612 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




4)  

Selvan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $612 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




5)  

Chithra spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $665 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




6)  

Selvan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $480 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




7)  

Barathan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $700 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




8)  

Ovini spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $725 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




9)  

Sriram spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $576 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




10)  

Barathan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $868 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




 

1)  

Aravindh spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $496 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $1860


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$496 left

(a)

Step 1: 1x53x5+2x35x3 = 5 15+615

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $496

                1 unit = $496 ÷ 4

                           = $124

Step 4: 15 units= 15 x $124

                             =$1860



2)  

Tulasi spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $885 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $2124


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$885 left





(a)


Step 1: 1x34x3+1x43x4 = 3 12+412


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $885


              1 unit = $885 ÷ 5


                         = $177


Step 4: 12 units= 12 x $177


                             =$2124



3)  

Aravindh spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $612 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $3672


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$612 left

(a)

Step 1: 1x32x3+1x23x2 = 3 6+26

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $612

Step 4: 6 units= $612 x 6

                       =$3672



4)  

Selvan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $612 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $2295


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$612 left

(a)

Step 1: 1x53x5+2x35x3 = 5 15+615

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $612

                1 unit = $612 ÷ 4

                           = $153

Step 4: 15 units= 15 x $153

                             =$2295



5)  

Chithra spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $665 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1596


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$665 left





(a)


Step 1: 1x34x3+1x43x4 = 3 12+412


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $665


              1 unit = $665 ÷ 5


                         = $133


Step 4: 12 units= 12 x $133


                             =$1596



6)  

Selvan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $480 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $2880


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$480 left

(a)

Step 1: 1x32x3+1x23x2 = 3 6+26

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $480

Step 4: 6 units= $480 x 6

                       =$2880



7)  

Barathan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $700 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $2625


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$700 left

(a)

Step 1: 1x53x5+2x35x3 = 5 15+615

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $700

                1 unit = $700 ÷ 4

                           = $175

Step 4: 15 units= 15 x $175

                             =$2625



8)  

Ovini spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $725 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1740


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$725 left





(a)


Step 1: 1x34x3+1x43x4 = 3 12+412


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $725


              1 unit = $725 ÷ 5


                         = $145


Step 4: 12 units= 12 x $145


                             =$1740



9)  

Sriram spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $576 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $3456


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$576 left

(a)

Step 1: 1x32x3+1x23x2 = 3 6+26

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $576

Step 4: 6 units= $576 x 6

                       =$3456



10)  

Barathan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $868 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $3255


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$868 left

(a)

Step 1: 1x53x5+2x35x3 = 5 15+615

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $868

                1 unit = $868 ÷ 4

                           = $217

Step 4: 15 units= 15 x $217

                             =$3255