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Beth's Bakery recently spent a total of $57 on new equipment, and their average hourly operating costs are $9. Their average hourly receipts are $28. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?In hours, the bakery's total expenses and receipts will both equal $.Submit

Question

Beth's Bakery recently spent a total of 57onnewequipment,andtheiraveragehourlyoperatingcostsare57 on new equipment, and their average hourly operating costs are 9. Their average hourly receipts are 28.Thebakerywillsoonmakebacktheamountitinvestedinequipment.Howmanyhourswillthattake?Whatwouldthetotalexpensesandreceiptsbothequal?Inhours,thebakerystotalexpensesandreceiptswillbothequal28. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?In hours, the bakery's total expenses and receipts will both equal .Submit

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Solution

To find out how many hours it will take for Beth's Bakery to make back the amount it invested in equipment, we need to calculate the net hourly profit first.

The net hourly profit is the difference between the average hourly receipts and the average hourly operating costs.

So, the net hourly profit = 28(averagehourlyreceipts)28 (average hourly receipts) - 9 (average hourly operating costs) = $19.

Now, to find out how many hours it will take to make back the $57 spent on new equipment, we divide the total amount spent on equipment by the net hourly profit.

So, the number of hours = 57(totalspentonequipment)/57 (total spent on equipment) / 19 (net hourly profit) = 3 hours.

Therefore, it will take 3 hours for the bakery to make back the amount it invested in equipment.

The total expenses and receipts will both equal the total amount spent on equipment plus the operating costs for the number of hours it takes to make back the investment.

So, the total expenses and receipts = 57(totalspentonequipment)+57 (total spent on equipment) + 9 (operating costs per hour) * 3 (hours) = 57+57 + 27 = $84.

In 3 hours, the bakery's total expenses and receipts will both equal $84.

This problem has been solved

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