Judah worked at the bakery for 14 hours last week. He spent $12 of his earnings on a cake for his father’s birthday. If he was left with $86 after buying the cake, what is Judah’s hourly wage?

Question

$6.14
$7.00
$8.00
$9.63

Answer 1

Let \( x \) be Judah's hourly wage.

First, we determine his total earnings for the week:

\[ \text{Total earnings} = \text{Hourly wage} \times \text{Hours worked} = 14x \]

Judah spent $12 on a cake and was left with $86. Therefore, we can set up the following equation:

\[ 14x - 12 = 86 \]

Now, solve for \( x \):

1. Add 12 to both sides: \[ 14x = 86 + 12 \] \[ 14x = 98 \]

2. Divide both sides by 14: \[ x = \frac{98}{14} \] \[ x = 7 \]

Thus, Judah's hourly wage is \( \boxed{7.00} \).