Math, asked by mahir5227, 11 months ago

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

Answered by prettystefina11
14

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

Answered by lisaneedham
12

Answer:

C.

Step-by-step explanation:

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