Question

Jenny makes $4 an hour for babysitting and $7 an hour for tutoring math.Jenny’s parents do not want her to work more than 20 hours per week.Jenny would like to earn $110 a week.Which of these possibilities would be a solution to her dilemma?

Answer 1

Jenny babysits for 10 hours and tutors for 10 hours.

4x+7y=110
x+y=20

4x+7y=110
-4(x+y)=(20)-4

4x+7y=110
-4x-4y=-80

3y=30
— —
3 3

y=10hours of tutoring

20hours-10hours=10hours of babysitting