Question

aimee and paulo work at a restaurant. they earn an hourly wage plus any tips they receive during the day. on tuesday, aimee worked for 3.6 hours before lunch, 4 hours after lunch, and earned $40 in tips. paulo worked for 5 hours before lunch, 2.1 hours after lunch, and earned $50 in tips. they both earned the same amount of money. the equation below represents this situation, where h is the amount of money they each earn per hour. how much do aimee and paulo each earn per hour? 3.6h + 4h + 40 = 5h + 2.1h + 50 use the number pad to enter your answer in the box. aimee and paulo both earn $\boxed{}$ per hour.

Explanation:

Step1: Combine like terms on both sides

First, we combine the \(h\) terms on the left side: \(3.6h + 4h = 7.6h\). On the right side: \(5h + 2.1h = 7.1h\). So the equation becomes \(7.6h + 40 = 7.1h + 50\).

Step2: Subtract \(7.1h\) from both sides

Subtracting \(7.1h\) from both sides gives us \(7.6h - 7.1h + 40 = 7.1h - 7.1h + 50\), which simplifies to \(0.5h + 40 = 50\).

Step3: Subtract 40 from both sides

Subtracting 40 from both sides: \(0.5h + 40 - 40 = 50 - 40\), so \(0.5h = 10\).

Step4: Solve for \(h\)

To solve for \(h\), we divide both sides by \(0.5\): \(h=\frac{10}{0.5}=20\).

Answer:

20