Question

Find the value of x that makes each sentence true.

If (5 1/5) 5 = 25x , then x =

If (8 1/3) 2 = 4x , then x =

Answer 1

51/25 and 27/4

Explanation:

distributing and dividing both sides by coefficient of x

Answer 2

x = 1 1/25

x = 4 1/6

Explanation:

(5 1/5) × 5 = 25x

(26/5) × (5/1) = 25x

26 = 25x

26/25 = x

1 1/25 = x

(8 1/3) × 2 = 4x

(25/3) × (2/1) = 4x

(50/3) = 4x

(50/3) ÷ (4/1) = x

(50/3) × (1/4) = x

50/12 = x

4 2/12 = x

4 1/6 = x