Question

1. a local girls club sold 176 boxes of cookies and made a total of $520. they sold two types of cookies: chocolate mint for $3.50 a box and peanut butter patties for $2.75 a box. how many chocolate mint boxes did they sell?

Explanation:

Step1: Define variables

Let \( x \) be the number of chocolate mint boxes sold and \( y \) be the number of peanut butter patties boxes sold.
We know two equations:

1. \( x + y = 176 \) (total number of boxes)
2. \( 3.50x + 2.75y = 520 \) (total money made)

From the first equation, we can express \( y \) as \( y = 176 - x \).

Step2: Substitute \( y \) into the second equation

Substitute \( y = 176 - x \) into \( 3.50x + 2.75y = 520 \):

$$
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$$

Step3: Solve for \( x \)

Subtract 484 from both sides:

$$ 0.75x = 520 - 484\\ 0.75x = 36 $$

Divide both sides by 0.75:

$$ x = \frac{36}{0.75}\\ x = 48 $$

Answer:

48