SOLVING PROPORTIONS WITH VARIABLES WORKSHEET

Solve the following proportions :

Question 1 :

10/k = 8/4

Question 2 :

m/10 = 10/3

Question 3 :

3/n = 7/10

Question 4 :

p/8 = 13/2

Question 5 :

7/9 = a/5

Question 6 :

10/11 = r/11

Question 7 :

v/10 = 10/12

Question 8 :

a/0.2 = 0.1/0.01

1. Answer :

10/k = 8/4

Take reciprocal on both sides. 

k/10 = 4/8

Simplify. 

k/10 = 1/2

Multiply both sides by 10.

k = 5

2. Answer :

m/10 = 10/3

Multiply each side by 10.

m = 100/3

m ≈ 33.33

3. Answer :

3/n = 7/10

Take reciprocal on both sides. 

n/3 = 10/7

Multiply both sides by 3.

n = 30/7

n ≈ 4.29

4. Answer :

p/8 = 13/2

Multiply each side by 8.

p = 52

5. Answer :

7/9 = a/5

Multiply both sides by 5.

35/9 = a

a ≈ 3.89

6. Answer :

10/11 = r/11

Multiply both sides by 11.

110/11 = r

10 = r

7. Answer :

v/10 = 10/12

Multiply both sides by 10.

v = 100/12

a ≈ 8.33

8. Answer :

a/0.2 = 0.1/0.01

a/(2/10) = (1/10)/(1/100)

a/(1/5) = (1/10) x (100/1)

5a = 10

Divide both sides by 5.

a = 2

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