Final answer:
To find the cost of the washer, we can set up an equation using the given information. Solving this equation, we find that the washer costs $620.
Step-by-step explanation:
To find the cost of the washer, let's first assign variables to the given information. Let's say the cost of the washer is x dollars.
According to the problem, the refrigerator costs $250 more than the washer. So the cost of the refrigerator would be x + $250.
The dryer costs half as much as the washer, so the cost of the dryer would be $rac{x}{2}.
Now, we can add up the costs of the washer, refrigerator, and dryer to get $1,800.
So, we have the equation: x + (x + $250) + $rac{x}{2} = $1,800.
Simplifying the equation, we get: $rac{5x}{2} + $250 = $1,800.
Subtracting $250 from both sides, we get: $rac{5x}{2} = $1,550.
Multiplying both sides by $rac{2}{5}$ to solve for x, we get: x = $rac{2}{5} imes $1,550 = $620.
Therefore, the cost of the washer is $620.