SOLUTION: Solve this problem on paper using all four steps. A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled t

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Question 317015: Solve this problem on paper using all four steps.
A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled 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?

Found 2 solutions by mananth, JBarnum:
Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
let the scouts sell x boxes in the second week
..
in the first week they sold 5 boxes more.
so in first week they sold x+5 boxes
..
in the third week they sold two times the number they sold in the second week.
so they sold 2(x+5) in the third week.
..
Sum of all boxes sold
x+(x+5)+2(x+5)=431
x+x+5+2x+10=431
4x+15=431
4x=431-15
4x=416
x= 416/4
x=104 boxes in the second week
..
first week = x+5
= 104+5=109 boxes
..
third week 2(x+5)
=2*(104+5)
=2*109
=218 boxes
CHECK
104+109+218=431

***no offense but u have it correct except that its the 2nd week that sells 5 more boxes and the first week=(x)=104, 2nd week=(x+5)=109, third week=(2(x+5))=218 ~~JBarnum~~

Answer by JBarnum(2146) (Show Source):
You can put this solution on YOUR website!
x=week 1 amount
y=week 2 amount
z=week 3 amount

y=5+x
2y=z
x+y+z=431

solve for x