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Sam is paid $10.50 per hour and 6% on commission for his sales. He worked 37.5

hours this week. What would Sam's sales have to be for him to earn $669.06 in a
week?

User Gmauch
by
7.7k points

1 Answer

5 votes

Answer:

To find out how much sales Sam would have to make in a week to earn $669.06, we need to calculate his total earnings for the week, and then solve for his sales.

Sam's total earnings for the week would be his base pay plus his commission on sales. His base pay would be his hourly rate multiplied by the number of hours he worked:

$10.50/hour x 37.5 hours = $393.75

To calculate Sam's commission, we need to know how much he would need to sell to earn 6% commission of that amount. Let's call the amount he needs to sell "x". Then his commission would be:

6% x x = 0.06x

So his total earnings for the week would be:

Total earnings = $393.75 + 0.06x

We want to know what value of x would make Sam's total earnings equal to $669.06. So we can set up an equation:

$669.06 = $393.75 + 0.06x

And solve for x:

$669.06 - $393.75 = 0.06x

$275.31 = 0.06x

x = $275.31 / 0.06

x = $4,588.50

So Sam would need to make sales of $4,588.50 in a week to earn $669.06, assuming he worked 37.5 hours and had a base pay of $10.50 per hour with a 6% commission on sales

Explanation:

User Sorin Comanescu
by
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