Question

Katya tutors and works in the college bookstore to pay for her college tuition. She makes $20 per hour tutoring and $8.50 per hour working in the bookstore. a) Write an equation to represent the total amount of money Katya earns tutoring and working in the bookstore. b) The tuition for one semester (16 weeks) is $5,736. If Katya works 21 hours each week in the bookstore, how many hours per week must she tutor to pay her tuition?

Answer 1

Answer:9 hr in a week

Step-by-step explanation:

Given

katya makes $20 per hour in tutoring and $8.50 per hour working in bookstore

Let us assume katya works for x hours in tutoring  and y hr  in bookstore

therefore the money made by katya is

total money=20x+8.5y

(b)Tution for one semester is $5736 (16 weeks)

Katya works 21 hours each week in book store

therefore in 16 weeks katya earns =16\times 21\times 8.5=$ 2856

Thus remaining amount can be earned 5736-2856=2880

therefore katya needs to work $\frac{2880}{20}=144 hr$

144 hours in 16 weeks

for 1 week katya needs to work 9 hr.

Answer 2

A) 20x + 8.50y
b) 21 x 8.50 = 178.50
$5,736 - $178.50 = $557.50
$557.50 / $20 = 278 hours

I think I could be wrong