Question

Lauren, Shannon, and Maddie all work at a restaurant. Lauren earned $11.00 less than 3 times the amount Maddie earned. Shannon earned $9.00 more than 2 times the amount Maddie earned. If Lauren and Shannon both earned the same amount of money, how much money, m, did Maddie earn?

Which equation below correctly represents the situation above?
A.
3m - 9 = 2m + 11
B.
3m - 11 = 2m + 9
C.
3m + 2m + 11 = 9
D.
4 × 11 + 2 × 9 = m

Answer 1

B.

3m - 11 = 2m + 9

Amount Maddie earns = m = $20

Explanation:

Let

Amount Maddie earns = m

Amount Lauren earns = 3m - 11

Amount Shannon earns = 2m + 9

If Lauren and Shannon both earned the same amount of money, how much money, m, did Maddie earn?

Amount Lauren earns = Amount Shannon earns

3m - 11 = 2m + 9

Collect like terms

3m - 2m = 9 + 11

m = 20

Amount Maddie earns = m = $20

B.

3m - 11 = 2m + 9