If a child sells five cups of lemonade for a $4.00 profit, how many cups of lemonade do they need to sell to make $1,000 profit?

Question

Quizplus · Accepted Answer

This is a ratio/proportion problem. We know that 5 cups of lemonade earns the child $4. So, how many cups of lemonade would need to be sold in order to make a profit of $1,000? We can write that as a proportion: 5: 4 :: x: 1,000 Step 1: Rewrite the proportion as a fraction. ⁵⁄₄ = ^x⁄_1,000 Step 2: Cross multiply. 5 • 1,000 = 4 • x Step 3: Simplify. 5 • 1,000 = 4 • x 5,000 = 4x Step 4: Simplify by dividing both sides of the equation by 4. 5,000 ÷ 4 = 4x ÷ 4 1,250 = x

If a Child Sells Five Cups of Lemonade for a $4.00