Question
A washer and a dryer cost \( \$ 811 \) combined. The washer costs \( \$ 89 \) less than the dryer. What is the cost of the dryer?
Ask by Daniels Mcguire. in the United States
Feb 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The dryer costs \$450.
Solution
Let x be the cost of the dryer in dollars. Then the washer costs x - 89 dollars. The total cost is given as:
x + (x - 89) = 811
Combine like terms:
2x - 89 = 811
Add 89 to both sides:
2x = 900
Divide both sides by 2:
x = 450
Thus, the cost of the dryer is $450.
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Simplify this solution Bonus Knowledge
Let the cost of the dryer be \( x \) dollars. Then, the cost of the washer would be \( x - 89 \) dollars. The equation representing their combined cost is: \[ x + (x - 89) = 811 \] Simplifying the equation gives: \[ 2x - 89 = 811 \] Add \( 89 \) to both sides: \[ 2x = 900 \] Now, divide by \( 2 \): \[ x = 450 \] Thus, the cost of the dryer is \( \boxed{450} \) dollars. The washer, therefore, costs \( 450 - 89 = 361 \) dollars.
