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A washer and a dryer cost $587 combined. The washer costs $63 less than the dryer. What is the cost of the dryer?
Question
A washer and a dryer cost $587 combined. The washer costs $63 less than the dryer. What is the cost of the dryer?
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Mathematics
3 years
2021-07-30T09:22:24+00:00
2021-07-30T09:22:24+00:00 1 Answers
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Answers ( )
Answer:
The dryer costs $325.
Step-by-step explanation:
Let w represent the cost of the washer and d represent the cost of the dryer.
They cost $587 combined. In other words:
The washer costs $63 less than the dryer. Therefore:
Thus, we have the system of equations:
We can solve it using substitution. Substitute the second equation into the first. Hence:
Combine like terms:
Add 63 to both sides:
And divide both sides by two. Hence:
The dryer costs $325.
Further Notes:
And since the washer is $63 less, the washer costs:
The washer costs $262.