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21 October, 16:20

A communications company offers a variety of calling card options. Card A has a 30¢ connection fee and then costs 2¢ per minute. Card B has a 10¢ connection fee and then costs 6¢ per minute. Find the length of the call that would cost the same with both cards.

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  1. 21 October, 16:45
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    The length of the call that would cost the same with both cards is 5 minutes.

    Step-by-step explanation:

    Hi there!

    The cost with card A can be expressed as follows:

    cost A = 30 + 2 · m

    Where "m" is the length of the call in minutes.

    In the same way, the cost of card B will be:

    cost B = 10 + 6 · m

    Where "m" is the length of the call in minutes.

    We have to find the value of "m" for which the call would cost the same with both cards.

    Then:

    cost A = cost B

    30 + 2 · m = 10 + 6 · m

    Subtract 10 and 2 · m to both sides of the equation:

    30 - 10 = 6 · m - 2 · m

    20 = 4 · m

    Divide by 4 both sides of the equation:

    20/4 = m

    5 = m

    The length of the call that would cost the same with both cards is 5 minutes.

    Have a nice day!
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