Q13. - Algebra 1

Question

Record your answers on the answer sheet provided by your teacher or on a sheet of paper.

GRIDDED RESPONSE Lara's car needed a particular part that costs $\backslash (75$. The mechanic charges $\mathrm{\backslash )}50$ per hour to install the part. If the total cost was $\$350$, how many hours did it take to install the part?

Step-by-Step Solution

Answer

The mechanic takes the total time in install the part is $\text{5.5 hour}$.

Step 1. Given information.

A part of Lara’s car needed that cost is $=\$75$.

The mechanic charge is $=\$50$ per hour.

Total money spend by Lara is $=\$350$.

Step 2. To find the total charge of mechanic by Lara.

The total charges the mechanic is:

Total money spends by Lara $-$ Price of the Lara’s car needed

So,

$\$350-\$75=\$275$

Step 3. To find the number of hours to take mechanic.

Given, the mechanic charge is $=\$50$ per hour.

$\begin{array}{c}\$50=1 \text{hour}\\ \$1=\frac{1}{50}\text{hour}\\ \$275=\frac{1}{50}\times \text{275 hour}\\ \text{=5.5 hour}\end{array}$

Hence, the mechanic takes the total time in install the part is $\text{5.5 hour}$.