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

Question

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

Bytelearn · Accepted Answer

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 = 270 / 3. Calculate final value of h:  Calculate h: 270 divided by 3 equals 90. So, h = 90.

Full solution

More problems from Solve linear equations with variables on both sides: word problems

Related topics