Javier and Brianna both have summer jobs working at Honeybee Ice Cream. Javier makes $15 per hour, and he has already earned a total of $270 this summer. Brianna is starting today, and she will be making $18 per hour as a new manager. Javier and Brianna work the same schedule.

Question

Which equation can you use to find h, the number of hours of work it will take for Brianna and Javier to have earned the same amount of money?
How many hours of work will it take for Brianna and Javier to have earned the same amount of money?
hours

Answer 1

To find the number of hours \( h \) at which Brianna and Javier will have earned the same amount of money, we can set up an equation based on their earnings.

1. For Javier, who has already earned $270 and makes $15 per hour: \[ \text{Total earnings of Javier} = 270 + 15h \]

2. For Brianna, who is just starting and making $18 per hour: \[ \text{Total earnings of Brianna} = 18h \]

We want to find the point at which their total earnings are equal: \[ 270 + 15h = 18h \]

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

1. Rearranging the equation: \[ 270 = 18h - 15h \] \[ 270 = 3h \]
2. Dividing both sides by 3: \[ h = \frac{270}{3} = 90 \]

Thus, it will take 90 hours of work for Brianna and Javier to have earned the same amount of money.