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.