Mathematics
woaahitsangelx3
8

Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below. 3x + 2y = 36.50 2x + 5y = 50.00 At which job does Percy earn the greater hourly wage? How much does Percy earn each hour at this job? Percy earns a greater hourly wage of $7.00 at the library. Percy earns a greater hourly wage of $7.00 at the coffee cart. Percy earns a greater hourly wage of $7.50 at the library. Percy earns a greater hourly wage of $7.50 at the coffee cart.

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(1) Answers
latinaberryhill

3x + 2y = 36.5 ....multiply by -5 2x + 5y = 50 .......multiply by 2 ------------------ -15x - 10y = - 182.5 (result of multiplying by -5) 4x + 10y = 100 (result of multiplying by 2) ----------------add - 11x = - 82.5 x = -82.5 / -11 x = 7.50 <== what Percy makes per hr at the library 2x + 5y = 50 2(7.50) + 5y = 50 15 + 5y = 50 5y = 50 - 15 5y = 35 y = 35/5 y = 7....<==what Percy makes per hr at the coffee shop answer : Percy earns a greater hourly wage of 7.50 at the library

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