Question

Creating One-Variable Equations & Inequalities Practice
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Question
Christiana makes $14 per hour working at the roller-skating rink. She needs to make $130 to pay her car insurance. How many hours should she work if she receives an $18 tip for hosting a birthday party that day?(1 point)
She should work
hours to make $130.

Answer 1

To find out how many hours Christiana should work, we can set up the equation as follows:

Let \( h \) be the number of hours she needs to work.

Christiana makes $14 for each hour she works. Therefore, her earnings from working \( h \) hours would be \( 14h \). Additionally, she receives an $18 tip for the birthday party.

We want her total earnings to be equal to $130, so we can write the equation:

\[
14h + 18 = 130
\]

Now, we can solve for \( h \):

1. Subtract 18 from both sides:
\[
14h = 130 - 18
\]
\[
14h = 112
\]

2. Divide by 14:
\[
h = \frac{112}{14}
\]
\[
h = 8
\]

Christiana should work **8 hours** to make $130.