Question

Use the information to answer the following questions.


A saleswoman is paid $10 per hour and $6 for each sale she makes. She wants to earn more than $220 in an 8-hour work period. This is represented by the following inequality:


80 + 6x > 220


What is the least number of sales she must make to reach her sales goal

Answer 1

70/3

6x > 220 - 80
220 - 80 = 140

6x > 140

Divide 6 on all terms & simplify.

6x/6 > 140/6

Divide x by 1 and cancel common factor 140/6

x > 140/6

Factor 2 out of 140

x > 2(70) / 6

Cancel common factors
Factor 2 out of 6

x > 2 • 70 / 2 • 3

Cross out both of the 2’s and rewrite expression

x > 70/3 or (70/3 , ♾ )