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29 January, 00:29

One cell phone plan costs $29.94 per month plus $.10 for MB of data. Another plan costs $32.99 per month

plus $.05 for each MB of data. For how many MBs of data will the monthly bill for be the same for both plans?

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  1. 29 January, 03:51
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    Plan 1 = 29.94 + 0.10x

    Plan 2 = 32.99 + 0.05x

    Plan 1 = Plan 2

    29.94 + 0.10x = 32.99 + 0.05x

    0.10x - 0.05x = 32.99 - 29.94

    0.05x = 3.05

    0.05x/0.05 = 3.05/0.05

    x = 61

    61 MB of data is needed to make both plan equal.

    to check: x = 61

    29.94 + 0.10 (61) = 32.99 + 0.05 (61)

    29.94 + 6.10 = 32.99 + 3.05

    36.04 = 36.04
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