Question

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.

Answer 1

c

Explanation:

edge2020

Answer 2

The two equations are: 3x + 2y = 36.50 (I)2x + 5y = 50 (II)Eliminating x from the two equations by subtraction:first we multiply equation I by 2 and equation II by 36x + 4y = 736x + 15y = 150Subtracting the two,-11y = -77y = 7He earns $7 at the coffee cartSubstituting y into equation I,3x + 14 = 36.5x = $7.50Therefore, he earns a greater wage of $7.50 at the library, the answer is C