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: $\newline$ $(A) 15h + 270 = 18h$ $\newline$ $(B) 15h = 18h + 270$ $\newline$ 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 + 270 = 18h

\newline

(B) 15h = 18h + 270

\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 for same earnings: Identify the correct equation to represent the situation where Javier and Brianna earn the same amount. Javier has already earned $\$270$ , so his total earnings will be $\$270$ plus $\$15$ per hour for $h$ hours. Brianna earns $\$18$ per hour from the start. The equation is $15h + 270 = 18h$ .
Solve equation for $h$ : Solve the equation $15h + 270 = 18h$ for $h$ . Subtract $15h$ from both sides to isolate the variable on one side: $270 = 3h$ .
Divide to solve for h: Divide both sides by $3$ to solve for h: $h = \frac{270}{3}$ .
Calculate final value of h: Calculate $h$ : $270$ divided by $3$ equals $90$ . So, $h = 90$ .