Question

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

Answer 1

Boxes sold first week = 104

Boxes sold second week =x+5= 104+5=109

Boxes sold third week = 109 times 2= 218

Explanation:

Let x be the number of boxes sold in first week

the girls sold 5 more boxes the second week

So number of boxes sold in second week is x+5

they double the sales of the second week for the third week

So number of boxes sold in third week is 2 (x+5)

Total boxes sold is 431

`x+x+5+2(x+5)=431`

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

`4x+15=431`

subtract 15 from both sides

`4x=416`

divide by 4 on both sides

`x=104`

Boxes sold first week = 104

Boxes sold second week =x+5= 104+5=109

Boxes sold third week = 104 times 2= 218