SOLUTION: Hello: The method suggested to solve this is by solving backwards. How would I go about doing this? Harold loves to eat cookies. He eats 1/4 of the package on Monday. On Tue

Question 1160292: Hello:
The method suggested to solve this is by solving backwards. How would I go about doing this?
Harold loves to eat cookies. He eats 1/4 of the package on Monday. On Tuesday, he eats 13 cookies. On Wednesday, he eats 1/2 as many as he did on Monday. If there are 22 cookies left in the package on Thursday, how many cookies did he start with?
Thanks for your help.

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

let number of cookies be
given:
He eats of the package on Monday
On Tuesday, he eats cookies.
On Wednesday, he eats as many as he did on Monday=>

so he ate:

. If there are cookies left in the package on Thursday, ->
then we have

......both sides multiply by

he start with cookies
check:
he eats on Monday
he eats cookies on Tuesday
he eats on Wednesday
there are cookies left in the package on Thursday
add all together:

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