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)  

Kumar spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $556 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




2)  

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 $690 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




3)  

Ponnalagu spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $460 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




4)  

Prem spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $872 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




5)  

Barathan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $570 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




6)  

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 $760 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




7)  

Anand spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $688 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




8)  

Pugal spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $552 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




9)  

Ponnalagu spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $555 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




10)  

Aravindh spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $436 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




 

1)  

Kumar spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $556 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $2085


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$556 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $556

                1 unit = $556 ÷ 4

                           = $139

Step 4: 15 units= 15 x $139

                             =$2085



2)  

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 $690 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $4140


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$690 left

(a)

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

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $690

Step 4: 6 units= $690 x 6

                       =$4140



3)  

Ponnalagu spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $460 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1104


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$460 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $460


              1 unit = $460 ÷ 5


                         = $92


Step 4: 12 units= 12 x $92


                             =$1104



4)  

Prem spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $872 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $3270


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$872 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $872

                1 unit = $872 ÷ 4

                           = $218

Step 4: 15 units= 15 x $218

                             =$3270



5)  

Barathan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $570 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $3420


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$570 left

(a)

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

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $570

Step 4: 6 units= $570 x 6

                       =$3420



6)  

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 $760 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1824


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$760 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $760


              1 unit = $760 ÷ 5


                         = $152


Step 4: 12 units= 12 x $152


                             =$1824



7)  

Anand spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $688 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $2580


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$688 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $688

                1 unit = $688 ÷ 4

                           = $172

Step 4: 15 units= 15 x $172

                             =$2580



8)  

Pugal spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $552 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $3312


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$552 left

(a)

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

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $552

Step 4: 6 units= $552 x 6

                       =$3312



9)  

Ponnalagu spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $555 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1332


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$555 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $555


              1 unit = $555 ÷ 5


                         = $111


Step 4: 12 units= 12 x $111


                             =$1332



10)  

Aravindh spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $436 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $1635


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$436 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $436

                1 unit = $436 ÷ 4

                           = $109

Step 4: 15 units= 15 x $109

                             =$1635