Question

Mary's monthly earnings can be given as R(x) = 13x + 155, where x equals the number of hours worked. Josie's monthly earnings are given as Q(x) = 9x + 335. How many hours should Josie and Mary work to earn the same salary?
a
22
b
36
c
45
d
122

Answer 1

Set R(x) = Q(x):

13x + 155 = 9x + 335
13x − 9x = 335 − 155
4x = 180
x = 45

Answer: c (45 hours).