Question

Mr. Linx and Mrs. Lynn both work for the same company, but they do not have the the same hourly wages. Together they make $32.50 per hour. This week, Mr. Linx (x) worked 35 hours, and Mrs. Lynn (y) worked 37 hours. Together, they made $1,172.50.

Answer 1

Mr. Linx wages = x = $15

Mrs. Lynn wages = y = $17.50

Explanation:

Mr. Linx wages = x

Mrs. Lynn wages = y

x + y = 32.50 (1)

35x + 37y = 1,172.50 (2)

From (1)

x = 32.50 - y

Substitute x = 32.50 - y into (2)

35x + 37y = 1,172.50

35(32.50 - y) + 37y = 1172.50

1137.5 - 35y + 37y = 1172.50

- 35y + 37y = 1172.50 - 1137.50

2y = 35

y = 35/2

y = 17.50

Substitute y = 17.50 into (1)

x + y = 32.50

x + 17.50 = 32.50

x = 32.50 - 17.50

x = 15

Mr. Linx wages = x = $15

Mrs. Lynn wages = y = $17.50