A roofing company counted 65 invoices at the end of the month. They charge $490 for a new installation and $68 for a repair. The total dolla

Question

A roofing company counted 65 invoices at the end of the month. They charge $490 for a new installation and $68 for a repair. The total dollar amount of the invoices was $10,750. How many new roofs were installed?

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Amaya 1 week 2021-09-14T22:54:26+00:00 1 Answer 0

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    2021-09-14T22:56:24+00:00

    Answer:

    There were 15 installments of the roof.

    Step-by-step explanation:

    We are given the following information in the question:

    Total number of invoice = 65

    Cost of installation = $490

    Cost of repair = $68

    Total cost = $10,750

    Let x be the number of installments and y be the number of repairs.

    Then, we can write the following equations:

    x + y = 65\\490x + 68y = 10750

    Solving the two equations in two variables, we get:

    68x + 68y = 4420\\490x + 68y = 10750\\490x - 68x = 10750 - 4420\\422x = 6330\\x = 15\\\text{Putting value of x in one of the equation}\\15 + y = 65\\y =65-15 = 50

    Thus, there were 15 installments and 50 repairs of the roof.

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