Question

Tom's Bakery recently spent a total of $800 on new equipment, and their average hourlyoperating costs are $10. Their average hourly receipts are $90. The bakery will soon makeback the amount it invested in equipment. What would the total expenses and receipts bothequal?TimeelapsedWrite a system of equations, graph them, and type the solution1.000SmartScore

Answer 1

Hello there. To solve this question, let's call the average hourly operating costs as C and the average hourly receipts as R.

We get that 90R - 10C = 800, since this is the amount the bakery has spent on equipments and it is said he will soon get back this invested money.

Dividing both sides by 10, we get 9R-C = 80

The graph will be a line. We want to find then C = R, so we can get:

-R + 9R = 80

8R = 80

R = 10

So, we have a cost of $100 and receipt of $900 in order to get back that money.