Question

An apartment complex manager is replacing some of the appliances . He bought 3 ovens and 4 refrigerators for $4583. Each oven cost $570 less than a refrigerator. What is the cost of one oven

Answer 1

To find the cost of one oven, subtract $570 from the cost of one refrigerator. Set up an equation using the total cost of ovens and refrigerators. Solve for the cost of one refrigerator, which represents the cost of one oven $329.

Step-by-step explanation:

To find the cost of one oven, let's represent the cost of one refrigerator as x. Since each oven costs $570 less than a refrigerator, the cost of one oven would be x - $570.

Given that the manager bought 3 ovens and 4 refrigerators for a total cost of $4583, we can set up the following equation:

3(x - $570) + 4x = $4583

Simplifying the equation: 3x - $1710 + 4x = $4583

Combining like terms: 7x - $1710 = $4583

Adding $1710 to both sides: 7x = $6293

Dividing by 7: x = $899.

Therefore, the cost of one oven is ($899 - $570)= $329