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22 July, 20:21

Cell phone plan A cost 70 a month and comes with a free 500$ phone. Plan B costs 50$ per month but does not come with a phone. If you buy the 500$ phone and choose plan B, how many months is it until your cost is the same as plan A?

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  1. 22 July, 20:25
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    Answer: it will take 25 months until your cost is the same as plan A.

    Step-by-step explanation:

    Let x represent the number of months until your cost is the same as plan A.

    Cell phone plan A cost 70 a month and comes with a free 500$ phone. This means that the total cost of using plan A for x months would be

    70 * x = 70x

    Plan B costs 50$ per month but does not come with a phone. If you buy the 500$ phone and choose plan B, it means that the total cost of using plan B for x months would be

    50x + 500

    Therefore, for the costs to be the same,

    70x = 50x + 500

    70x - 50x = 500

    20x = 500

    x = 500/20

    x = 25
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