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24 January, 06:31

A cable network offers members a Basic plan for $7.31 per month. For $3.00 more per month, the cable network offers a Standard plan, which includes HD movies. During one week, 280 new subscribers paid a total of $2286.80 for their plans. How many Basic plans and how many Standard plans were purchased?

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  1. 24 January, 08:14
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    number of member of basis plan is 200

    and number of member of standard plan is 80

    Step-by-step explanation:

    given data

    Basic plan = $7.31 per month

    Standard plan = $3.00 more per month i. e = $10.31 per month

    new subscribers = 280

    total paid = $2286.80

    to find out

    How many Basic plans and how many Standard plans were purchased

    solution

    we consider here number of member of basis plan is = x

    so number of member of standard plan will be = 280 - x

    so we can say total pay is here as

    x * $7.31 + (280 - x) * $10.31 = $2286.80

    7.31 x + 2886.8 - 10.31 x = 2286.80

    solve we get

    x = 200

    so number of member of basis plan is = 200

    so number of member of standard plan will be = 280 - 200 = 80
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