asked 131k views
4 votes
Marshall and Donna are salespeople who earned the same amount this week, although Donna made 2 more sales than Marshall. Marshall earns a base of $80 plus $13 per sale. Donna earns a base of $66 plus $12 per sale. How many sales did Marshall make this week?

asked
User Sake
by
9.0k points

1 Answer

2 votes
Let's assume that Marshall made x sales this week. According to the problem, Donna made 2 more sales than Marshall, so she made (x + 2) sales this week.

Marshall's earnings this week can be calculated as follows:
Earnings = Base pay + (Number of sales * Amount per sale)
Earnings = $80 + ($13 * x)
Earnings = $80 + $13x

Donna's earnings this week can be calculated as follows:
Earnings = Base pay + (Number of sales * Amount per sale)
Earnings = $66 + ($12 * (x + 2))
Earnings = $66 + $12x + $24
Earnings = $90 + $12x

According to the problem, Marshall and Donna earned the same amount this week. Therefore, we can set their earnings equal to each other and solve for x:
$80 + $13x = $90 + $12x
$x = 10

Therefore, Marshall made 10 sales this week.
answered
User Csoler
by
7.8k points
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