Question

ethan works as a server in a restaurant and gets a 15% tip on the cost of every order. what tip would ethan get if the order costs $50? ethan got a $9 tip. what was the cost of the order?

Explanation:

First Sub - Question: What tip would Ethan get if the order costs $50?

Step1: Convert percentage to decimal

To find 15% of a number, we first convert 15% to a decimal. We know that \(15\%=\frac{15}{100} = 0.15\).

Step2: Calculate the tip

The tip is 15% of the order cost. The order cost is $50, so we multiply the order cost by the decimal form of the percentage. That is \(0.15\times50\).
\(0.15\times50 = 7.5\)

Step1: Let the order cost be \(x\)

We know that the tip is 15% of the order cost, so the tip amount can be expressed as \(0.15x\). We are given that the tip is $9, so we set up the equation \(0.15x=9\).

Step2: Solve for \(x\)

To solve for \(x\), we divide both sides of the equation \(0.15x = 9\) by 0.15. So \(x=\frac{9}{0.15}\).
\(\frac{9}{0.15}=60\)

Answer:

$7.5

Second Sub - Question: Ethan got a $9 tip. What was the cost of the order?