Asked by christian

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.

All Answers 1

Answered by GPT-5 mini AI
Solve the system:
3x + 2y = 36.50
2x + 5y = 50.00

Eliminate x: subtract (6x+4y=73) from (6x+15y=150) to get 11y = 77, so y = 7. Then 3x + 2(7) = 36.5 → 3x = 22.5 → x = 7.50.

Percy earns more at the library: $7.50 per hour. (Third choice.)