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Roland and Donna are salespeople who earned the same amount this week,

although Donna made 2 more sales than Roland. Roland earns a base of $64
plus $10 per sale. Donna earns a base of $78 plus $8 per sale. How many sales
did Roland make this week?

User Hammerite
by
6.6k points

1 Answer

4 votes

Answer: Ronland made 15 sales for the week.

Explanation:

To find out how many sales Roland made this week, let's break down the information given:

1. Roland and Donna earned the same amount this week.

2. Donna made 2 more sales than Roland.

3. Roland earns a base of $64 plus $10 per sale.

4. Donna earns a base of $78 plus $8 per sale.

First, let's calculate Donna's earnings. Since she made 2 more sales than Roland, we can assume that her total sales are x + 2, where x is Roland's total sales.

Donna's earnings = base + (number of sales * earnings per sale)

Donna's earnings = $78 + (x + 2) * $8

Next, let's calculate Roland's earnings using the given information.

Roland's earnings = base + (number of sales * earnings per sale)

Roland's earnings = $64 + x * $10

Since Roland and Donna earned the same amount, we can set their earnings equations equal to each other:

$78 + (x + 2) * $8 = $64 + x * $10

Now, we can solve this equation to find the value of x, which represents Roland's total sales:

$78 + $8x + $16 = $64 + $10x

Combine like terms:

$8x - $10x = $64 - $78 - $16

Simplify:

-$2x = -$30

Divide by -2:

x = 15

Therefore, Roland made 15 sales this week.

User Norilyn
by
7.3k points