Question

David needs to raise $250 to buy a video game system. He currently has $160 and he earns $7.50 an hour.Part ACreate an equation that David can use to find the number of hours, x, it will take for him to have $250.Part BHow many hours must David work to have $250 to buy the video game system?hours

Answer 1

David needs to raise $250, and he currently has $160 and earns $7.50 an hour.

Let x=number of hours he works, then:

$250=160+7.50x$

Solve for x and find the number of hours he has to work to have $250:

1. Subtract 160 from both sides of the equation:

$\begin{gathered} 250-160=160+7.50x-160 \\ 90=7.50x \end{gathered}$

2. Divide both sides by 7.50:

$\begin{gathered} \frac{90}{7.50}=\frac{7.50x}{7.50} \\ \text{Simplify } \\ 12=x \end{gathered}$

Thus, David must work 12 hours to have $250 to buy the video game system.