Problema Solution
Tessa has two babysitting jobs this summer. She has worked out a schedule with each family to fit their individual needs. Each week, Tessa babysits 5 hours less for the first family than she does for the second family. On average, she babysits a total of 33 hours per week. How many hours does she babysit for each family?
Part 2:
If Tessa is paid $5 per hour by family #1 and $7.50 per hour by family #2, how much money will she earn per week? Tessa's summer goal is to earn $2,500. If the summer is 9 weeks long, will she have enough time to reach her goal?
Answer provided by our tutors
et
x = the hours Tessa babysits for the first family
y = the hours Tessa babysits for the second family
Tessa babysits 5 hours less for the first family than she does for the second family
x = y - 5
On average, she babysits a total of 33 hours per week
x + y = 33
by solving the system of equations
x = y - 5
x + y = 33
we find
x = 14 hours
y = 19 hours
click here to see the step by step solution of the system of equations
Tessa babysits 14 hours for the first family and 19 hours for the second family.
Part 2:
If Tessa is paid $5 per hour by family #1 and $7.50 per hour by family #2, how much money will she earn per week?
She works 14 hours for family #1 thus she will get: 14*5 = $70
She works 19 hours for family #2 thus she will get: 19*7.50 = $142.50
Tessa's summer goal is to earn $2,500. If the summer is 9 weeks long, will she have enough time to reach her goal?
In 1 week Tessa earns: 70 + 142.50 = $212.50
In 9 weeks Tessa will earn: 9*212.50 = $1,912.50
$1,912.50 < $2,500
Tessa will not have enough time to reach her goal.