SOLUTION: Clara earns an hourly rate of $20 per hour and 5% commission. Rose earns an hourly rate of $16 per hour and 10% commission. They each work a 40-hour week. In one particular week,

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Clara earns an hourly rate of $20 per hour and 5% commission. Rose earns an hourly rate of $16 per hour and 10% commission. They each work a 40-hour week. In one particular week,       Log On


   



Question 1113829: Clara earns an hourly rate of $20 per hour and 5% commission. Rose earns an hourly rate of
$16 per hour and 10% commission. They each work a 40-hour week. In one particular week,
Clara and Rose both sold the same value of goods and both received the same wage. How much
did they sell and what was their wage?

Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
V = value of goods (stated as being same for each woman)
Clara's wage = 40(20) + 0.05V
Rose's wage = 40(16) + 0.10V

Since their wages are stated as being equal:
40(20) + 0.05V = 40(16) + 0.10V

800 + 0.05V = 640 + 0.10V

160 = 0.05V

V = 3200

Clara's wage = 40(20) + 0.05V = 800 + 160 = 960
Rose's wage = 40(16) + 0.10V = 640 + 320 = 960

They each sold $3200 worth of goods and each earned $960.