Question

One week, Sharon worked 18 hours as a lifeguard and 12 hours at a concession stand and earned $228. The next week, she earned $254 for 24 hours as a lifeguard and 8 hours at the concession stand. How much per hour does she get paid for each job?

Answer 1

Answer:

She is paid $6.25.hour at the concession and $8.50 as a lifeguard.

Step-by-step explanation:

We know:

18 hours as a lifeguard

12 hours at concession

Total earned = $228

18L + 12C = 228

Then:

24 hours as a lifeguard

8 hours at concession

Total earned = $254

24L + 8C = 254

Move one equation around to get one variable by itself: in this case we can solve for L:

18L + 12C = 228

18L = 228 - 12C

L = (228/18) - (12/18)C

Plug in for L:

24((228/18) - (12/18)C) + 8C = 254

Solve for C:

C = 6.25

Now that we know C, plug in value for C and solve for L:

18L + 12(6.25) = 228

L = 8.5

So she is paid $6.25.hour at the concession and $8.50 as a lifeguard.