Question

you and your friends want to go bowling on saturday. strike out charges $2 shoe rental plus $0.75 per game. knock down pins charges $0.50 per game plus a $4 shoe rental. at what number of games, would the price be the same?
equations
strike out:
knock down the pins:

Explanation:

Step1: Set the two cost equations equal

We have the cost for Strike Out as \(2 + 0.75x\) and for Knock Down Pins as \(4 + 0.50x\). To find when the prices are the same, we set them equal: \(2 + 0.75x=4 + 0.50x\)

Step2: Subtract \(0.50x\) from both sides

\(2 + 0.75x- 0.50x=4 + 0.50x- 0.50x\) simplifies to \(2 + 0.25x = 4\)

Step3: Subtract 2 from both sides

\(2 + 0.25x-2=4 - 2\) simplifies to \(0.25x=2\)

Step4: Divide both sides by 0.25

\(x=\frac{2}{0.25}=8\)

Answer:

8