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3. a total of 350 pounds of cheese is packaged into boxes each containi…

Question

  1. a total of 350 pounds of cheese is packaged into boxes each containing \\(1 \frac{3}{4}\\) pounds of cheese. each box is then sold for \\$1.75. what is the total selling price of all of the boxes of cheese?

Explanation:

Convert mixed number to improper fraction

Using the Fraction Division knowledge point

$$ 1 \frac{3}{4} = \frac{1 \times 4 + 3}{4} = \frac{7}{4} $$

Calculate the total number of boxes

Using the Fraction Division knowledge point

$$ \text{Number of boxes} = 350 \div \frac{7}{4} = 350 \times \frac{4}{7} = 50 \times 4 = 200 $$

Calculate the total selling price

Using the Fraction Multiplication knowledge point

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Answer:

A total of 350 pounds of cheese is packaged into boxes each containing \(1 \frac{3}{4}\) pounds of cheese. Each box is then sold for \$1.75. What is the total selling price of all of the boxes of cheese? \$350</blank>