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?
Answers
Answer:
Library; $7.50
Step-by-step explanation:
Let the hourly wages of Percy at the library = x
Let the hourly wages of Percy at the coffee cart = y
Monday:
Number of hours Percy works at the library = 3
Number of hours Percy works at the coffee cart = 2
Total amount that he earns = $36.50
Therefore, 3x + 2y = 36.50 ……….Eq(1)
Tuesday:
Number of hours Percy works at the library = 2
Number of hours Percy works at the coffee cart = 5
Total amount that he earns = $50
Therefore, 2x + 5y = 50 ……….Eq(2)
Solving Eq(1) & Eq(2);
3x + 2y = 36.50 x 2
2x + 5y = 50 x 3
6x + 4y = 73
6x + 15y = 150
(-) (-) (-)
———————
11y = 77
y = 7
From Eq(2);
2x + 5y = 50
2x + 5(7) = 50
2x + 35 = 50
2x = 15
=> x = 7.50
Therefore,
Percy’s hourly wages at the library = x = $ 7.50
Percy’s hourly wages at the coffee cart = y = $ 7
Therefore, Percy earns greater hourly wages at the library.
His hours wages at the library = $ 7.50 / hour
Answer:
C.
Step-by-step explanation: