A study shows that 3 in every 50 sheep have black wool. If a farm has 250 sheep, how many would you expect to have black wool?

Question

Quizplus · Accepted Answer

This is a ratio/proportion problem. We know that 3 in every 50 sheep has black wool. So, how many sheep out of 250 will have black wool? We can write that as a proportion: 3: 50 :: x: 250 Step 1: Rewrite the proportion as a fraction. ³⁄₅₀ = ^x⁄₂₅₀ Step 2: Cross multiply. 3 • 250 = 50 • x Step 3: Simplify. 3 • 250 = 50 • x 750 = 50x Step 4: Simplify by dividing both sides of the equation by 50. 750 ÷ 50 = 50x ÷ 50 15 = x

A Study Shows That 3 in Every 50 Sheep Have