Question

Patricia works at a grocery store part time and earns $9 per hour. In addition to working at the grocery store, she tutors middle

school students and earns $15 per hour. Her grocery store job requires her to work more than twice the number of hours she
tutors. If Patricia wants to earn more than $500 total from both jobs this week, which inequalities can be used to find the number of
hours, g, she should work at the grocery store and the number of hours, t, she should tutor?
9g + 15t ≥ 500
2g > t
g ≥ 2t
15g + 9t > 500
9g + 15t > 500
g > 2t​

Answer 1

g > 2t , 15 t + 9g >500 are the inequalities which can be used to find the value of g and t.

Explanation:

Earning at grocery store = $9 per hour

Earning as tutor = $15 per hour

Let the number of hours she tutors = t

and the number of hours she works at grocery store = g

Total earning she wants = $500

Now, the earning from tuition = 15 t

Earning from Grocery store= 9g

According to the question:

g > 2t

15 t + 9g >500

Hence, both the above inequalities can be used to find the value of g and t.