Question

4/9 of the people at a party drink Mountain Dew, the rest drink Sprite. If 52 people drink Mountain Dew, how many people drink Sprite?

Answer 1

117

Explanation:

4 : 9 = 52 : 117

Since

4 : 9 = 52 : X

Then we know

9/4 = X/52

Multiplying both sides by 52 cancels on the right

52 × (9/4) = (X/52) × 52

52 × (9/4) = X

Then solving for X

X = 52 × (9/4)

X = 117

Therefore

4 : 9 = 52 : 117