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 = 36.502x + 5y = 50.00
Answer
A
Percy earns a greater hourly wage of $7.00 at the library.
B
Percy earns a greater hourly wage of $7.00 at the coffee cart.
C
Percy earns a greater hourly wage of $7.50 at the library.
D
Percy earns a greater hourly wage of $7.50 at the coffee cart.
Explanation
Multiply 3x + 2y = 36.50 by 5 to get 15x + 10y = 182.50. Multiply 2x + 5y = 50 by 2 to get 4x + 10y = 100; subtracting gives 11x = 82.50, so x = $7.50. Substituting into the second equation gives y = $7.00, so Percy earns the greater hourly wage of $7.50 at the library.
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