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

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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