Percy works two part-time jobs to 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.

x = library

y = coffee shop

Monday: 3x + 2y = 36.50
Tuesday: 2x + 5y = 50

use substitution or elimination. It's easier to use elimination by multiplying the 2nd equation by 1.5. Doing that we get 1.5(2x + 5y = 50) = 3x + 7.5y = 75

So the two equations are now:
3x + 7.5y = 75

3x + 2y = 36.50

Subtract and we have

5.5y = 38.5

y=38.5/5.5 = 7

Now put 7 back into either equation to solve for x

3x + 2y = 36.50

3x+2(7) =36.50
3x+14 =36.50
3x=22.50

X= 22.50/3 = 7.50

 He earns 7.50 at the library

He earns 7.00 at the coffee cart

Check:

3(7.50) + 2(7) = 36.50 = 22.50 + 14 = 36.50 TRUE

2(7.50) + 5(7) = 50 = 15 +35 = 50 TRUE

 He earns a greater hourly wage of 7.50 at the library

The answer is C

Step-by-step explanation:

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.