Question

An Electrician charges $80 an hour for weekday repairs and $120 an hour for nights. Last week the electrician earned $4800 for 50 hours of work. Which system of equations can be used to find how many hours they worked on weekdays?

A. 80x + 120y = 4800, x + y = 50
B. 80x + 120y = 50, x + y = 4800
C. 80x + 120y = 50, 80x + y = 4800
D. 50x + 4800y = 80, x + y = 120

Answer 1

The correct system of equations to find the number of weekday hours worked is 80x + 120y = 4800, x + y = 50.

Step-by-step explanation:

The correct system of equations that can be used to find how many hours the electrician worked on weekdays is Option A: 80x + 120y = 4800, x + y = 50.

We can set up a system of equations to represent the situation. Let x be the number of weekday hours and y be the number of nighttime hours worked. We know that the electrician earned $4800 for 50 hours of work, so we can write the equation 80x + 120y = 4800. We also know that the total number of hours worked is 50, so the equation x + y = 50 represents that. Solving this system of equations will give us the number of weekday hours worked.

From there, we can substitute the value of x into one of the original equations to find the number of nighttime hours worked.