FaigaF243920 FaigaF243920
  • 03-11-2022
  • Mathematics
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A washer and dryer cost $911 combined the washer cost $61 more than the dryer. What is the cost of the dryer?

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AnayahJ428668 AnayahJ428668
  • 03-11-2022

ANSWER:

$425

STEP-BY-STEP EXPLANATION:

Let w be the price of the washer and d be the price of the dryer, we can establish the following system of equations:

[tex]\begin{gathered} w+d=911 \\ \\ w=d+61 \end{gathered}[/tex]

We substitute the second equation into the first and solve for d, like this:

[tex]\begin{gathered} d+61+d=911 \\ \\ 2d=911-61 \\ \\ d=\frac{850}{2} \\ \\ d=\text{\$}425 \end{gathered}[/tex]

Therefore, the price of the dryer is $425.

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