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. $\newline$ 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? $\newline$ Choices: $\newline$ (A) $15h = 18h + 270$ $\newline$ (B) $15h + 270 = 18h$ $\newline$ How many hours of work will it take for Brianna and Javier to have earned the same amount of money? $\newline$ $\_\_\_$ hours $\newline$

Full solution

Q. 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.

\newline

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?

\newline

Choices:

\newline

(A)

15h = 18h + 270

\newline

(B)

15h + 270 = 18h

\newline

How many hours of work will it take for Brianna and Javier to have earned the same amount of money?

\newline

\_\_\_

hours

\newline

Identify equation: Identify the correct equation to represent the situation where Javier and Brianna earn the same amount. Javier has already earned $\$270$ , so we add this to his earnings equation. Brianna starts from zero. The equation should equate their total earnings after the same number of hours, $h$ .
Solve for h: Solve for $h$ in the equation $15h + 270 = 18h$ . Subtract $15h$ from both sides to isolate the variable on one side.
Simplify equation: Simplify the equation to find $h$ .
Divide to solve: Divide both sides by $3$ to solve for $h$ .
Calculate $h$ : Calculate the value of $h$ .