Question

Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in

dollars, x, which can be represented by g(x) = 185 + 0.03x. Jim is paid $275 per week plus 2.5%
of his total sales in dollars, x, which can be represented by f(x) = 275 + 0.025x. Determine the
value of x, in dollars, that will make their weekly pay the same.

Answer 1

X=18000

Explanation:

Answer 2

The value of x is 18,000.

Guy's pay : g(x) = 185 + 0.03x
Jim's pay : f(x) = 275 + 0.025x

for their weekly pay to be the same: Guy's pay is equal to Jim's pay.

185 + 0.03x = 275 + 0.025x
0.03x - 0.025x = 275 - 185
0.005x = 90
0.005x / 0.005 = 90 / 0.005
x = 18000

To check:
Guy's pay = Jim's pay
185 + 0.03(18000) = 275 + 0.025(18000)
185 + 540 = 275 + 450
725 = 725