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?

1 Answer
Lucy
Jul 20, 2018

#104# boxes were sold in week 1, #104+5=109# boxes were sold in week 2 and #109times2=218# boxes were sold in week 3.

Explanation:

Le #x# be the number of boxes sold in the first week
Then #x+5# is the number of boxes sold in the second week
And #2(x+5)# is the number of boxes sold in the third week

Therefore, since a total of #431# boxes of cookies were sold, then
#x+(x+5)+2(x+5)=431#
#x+x+5+2x+10=431#
#4x+15=431#
#4x=416#
#x=104#

#104# boxes were sold in week 1, #104+5=109# boxes were sold in week 2 and #109times2=218# boxes were sold in week 3.

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