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.

Question

Mathematics

Grey

2 February, 20:03

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.

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Answers (1)

Know the Answer?

Landin Cisneros · Answer 1

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