Luther, a caterer, is investing some money in equipment and employees to help grow his business. Recently he spent $100 on equipment and hired a server who makes $10 per hour. Luther is hoping to make up these expense at the next job that is scheduled, which pays a base of $50 in addition to $15 per hour that the server works. In theory, this event could pay enough to cancel out Luther's expenditures. How long would the job have to be?

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DeniceSandidge DeniceSandidge · Answer 1 · 2020-03-26T13:15:18+01:00

Answer:

job would pay $200 and be 10 hours long.

Explanation:

solution

we consider here number of hours the servant work = x

so here equation for amount Nick spends

10 x + 100 ...............1

and

next job pay amount is

15 x + 50 .....................2

now we equate both equation and we will get x

10 x + 100 = 15 x + 50

solve it we get

x = 10

put in equation 2 we get

= 15 (10) + 50 = 150 + 50 = 200

so here job would pay $200 and be 10 hours long.