SOLUTION: a girl sout 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

Question 173429: a girl sout 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?
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
lets call the number of cookies sold in week 1,2 and 3: a,b,and c respectively
:
b=a+5.......eq 1---->a=b-5 revised eq 1
c=2b........eq 2
a+b+c=431...eq 3
:
lets take the value of a from revised eq 1 and the value of c in eq 2 and plug them into eq 3
:
(b-5)+b+(2b)=431
:
4b-5=431....combining b terms
:
4b=436.....combining constants
:
..........................boxes of cookies sold 2nd week
:
using revised eq 1 boxes of cookies sold week 1
:
using eq 2.........boxes of cookies sold week 3
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