Each nail artist at the nail salon can finish a manicure in 45 minutes. If there are 15 nail artists at the salon today, how many manicures could they complete in the 8 hours they are open?

Question

Quizplus · Accepted Answer

This is a ratio/proportion problem. We have 45 minutes for each manicure. So, how many manicures can 15 manicurists complete in 8 hours? We can write that as a proportion: First, we need to convert the minutes to hours: 45 minutes ÷ 60 minutes = 0.75 hours 0.75: 1 :: 8: x Step 1: Rewrite the proportion as a fraction. ^0.75/₁ = ⁸/ x Step 2: Cross multiply. 0.75x = 1 * 8 Step 3: Simplify. 0.75x = 8 0.75x ÷ 0.75 = 8 ÷ 0.75 10.67 = x The number of manicures one person can complete in 8 hours is 10. *Now, we must multiply this by the number of nail artists who were working to find the total. 10 * 15 = 150

Each Nail Artist at the Nail Salon Can Finish a Manicure