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General Formulas and Concepts:

Pre-Algebra

  • Division
  • Interpreting worded math problems

Application:

Step 1: Interpretation

We are given that Jasmine bought 7 yards of fabric and that the total cost was $52.61. That means each yard of fabric combined equals the total ($52.61). To find the cost per yard of fabric, since we bought 7 yards, we will need to divide the total (combined) yards of fabric by the amount of fabric purchased.

Step 2: Work

  1. Set up:
    [tex]\displaystyle \text{Average cost per yard} = \frac{\$ 52.61 \ \text{total}}{7 \ \text{yds fabric}}[/tex]
  2. Divide:
    [tex]\displaystyle\begin{align}\text{Average cost per yard} & = \frac{\$ 52.61 \ \text{total fabric}}{7 \ \text{yds fabric}} \\& = \$ 7.51571 \ \text{fabric per yd} \\& \approx \$ 7.52 \ \text{fabric per yd} \\\end{align}[/tex][tex]\displaystyle \begin{align}\text{Average cost per yard} = \frac{\$ 52.61 \ \text{total}}{7 \ \text{yds fabric}}\end{align}[/tex][tex]\displaystyle\begin{aligned}\text{Average cost per yard} & = \frac{\$ 52.61 \ \text{total fabric}}{7 \ \text{yds fabric}} \\& = \$ 7.51571 \ \text{fabric per yd} \\& \approx \$ 7.52 \ \text{fabric per yd} \\\end{aligned}[/tex]

Answer:

∴ The average cost per yard of the fabric she bought is approximately equal to $7.52.

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Topic: Pre-Algebra