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13 June, 07:34

A girl scout troop sold cookies. if the girls sold 5 more boxes the second week than the first, and if they doubted the sales of the sales of the second week for the for the third week to sell a total of 431 boxes of cookies, how many boxes did they sell each week

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  1. 13 June, 07:50
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    The no. of boxes sold in first week, second week and third week are 104, 109 and 218 respectively.

    Step-by-step explanation:

    Let x be the no. of boxes sold in first week.

    We are given that the girls sold 5 more boxes the second week than the first

    No. of boxes sold in second week = x+5

    They doubted the sales of the sales of the second week for for the third week

    No. of boxes sold in third week = 2 (x+5)

    She sold a total of 431 boxes of cookies

    So, x+x+5+2 (x+5) = 431

    x+x+5+2x+10=431

    4x+15=431

    4x=431-15

    4x=416

    x=104

    The no. of boxes sold in first week is 104

    No. of boxes sold in second week = x+5 = 104+5=109

    No. of boxes sold in third week = 2 (x+5) = 2 (104+5) = 218

    Hence The no. of boxes sold in first week, second week and third week are 104, 109 and 218 respectively.
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