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31 May, 09:13

A person owns two shops. This year the telephone bill for the first shop was $560 less than three timesthree times the telephone bill for the second shop. The total telephone expense for both shops was $2752. What was the cost of each shop's telephone service for the year?

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  1. 31 May, 12:20
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    The telephone bill for the first shop is $1924 and for the second shop is $828

    Step-by-step explanation:

    Let's call A the cost of the telephone service of the first shop, and B the cost of the telephone service of the second shop.

    From the sentence, the telephone bill for the first shop was $560 less than three times the telephone bill for the second shop, we can formulate the equation 1, as:

    A = 3*B - 560

    Additionally from the sentence, the total telephone expense for both shops was $2752, we can formulate the equation 2 as:

    A + B = 2752

    For found the values of A and B, we need to take A from equation 1 and replace its value on equation 2, and solve for B. This is:

    A + B = 2752

    (3*B - 560) + B = 2752

    3*B - 560 + B = 2752

    4*B = 2752 + 560

    4*B = 3312

    B = 3312/4

    B = 828

    Replacing the value of B on equation 1, we get:

    A = 3*828 - 560

    A = 2484 - 560

    A = 1924

    So, the value of A is 1924 and the value of B is 828, That means that the telephone bill for the first shop is $1924 and the telephone bill for the second shop is $828
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