Question

(SHOW WORK NEED IT BY TONIGHT! )Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
Nick, a caterer, is investing some money in equipment and employees to help grow his business. Recently he spent $47 on equipment and hired a server who makes $15 per hour. Nick is hoping to make up these expense at the next job that is scheduled, which pays a base of $54 in addition to $14 per hour that the server works. In theory, this event could pay enough to cancel out Nick's expenditures. How much would the job pay? How long would the job have to be?



The expenditures and pay would both be $_ if the job lasted for _ hours.

Answer 1

Let X = the number of hours the server works.

The equation for the amount Nick spends is 15x + 47

The next job pays 14x + 54

Set the equations to equal and solve for x:

15x + 47 = 14x +54

Subtract 14x from both sides:

X + 47 = 54

Subtract 47 from both sides:

X = 7

Now replace x with 7 in the second equation:

14x + 54 = 14(7) + 54 = 98 +54 = 152

The job would pay $152 and be 7 hours long.