A study finds that 35 in 100 adults use marijuana. At this rate, in a town of 4,000 adults, how many would be expected to be marijuana users?

Question

Quizplus · Accepted Answer

This is a ratio/proportion problem. We know that 35 in every 100 adults use marijuana. So, how many adults in a group of 4,000 smoke marijuana? We can write that as a proportion: 35: 100 :: x: 4,000 Step 1: Rewrite the proportion as a fraction. ³⁵⁄₁₀₀ = ^x⁄_4,000 Step 2: Cross multiply. 35 • 4,000 = 100 • x Step 3: Simplify. 35 • 4,000 = 100 • x 140,000 = 100x Step 4: Simplify by dividing both sides of the equation by 100. 140,000 = 100x 140,000 ÷ 100 = 100x ÷ 100 1,400 = x

A Study Finds That 35 in 100 Adults Use Marijuana