SOLUTION: Matthew used 1/5 of a box of flour for cooking and 3/4 of the remainder to make bread. The rest of the flour was packed equally into 5 containers. What fraction of the total amount

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Matthew used 1/5 of a box of flour for cooking and 3/4 of the remainder to make bread. The rest of the flour was packed equally into 5 containers. What fraction of the total amount      Log On


   

Question 1011873: Matthew used 1/5 of a box of flour for cooking and 3/4 of the remainder to make bread. The rest of the flour was packed equally into 5 containers. What fraction of the total amount of flour in each container?
Please help and show your work thank you tutor!
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Part 1:
Q-Q%2F5 still available.

Part 2:
Q-Q%2F5-%284%2F5%29%28Q-Q%2F5%29 still available

Simplify the expression from part 2. Understand that the lowest common denominator is 25.
Q-5Q%2F25-%28%284%2F5%29Q-4Q%2F25%29
25Q%2F25-%284%2F5%29Q%2B4Q%2F25
25Q%2F25-20Q%2F5%2B4Q%2F25
highlight_green%289Q%2F25%29
THIS is the amount of flour put into the five containers.

Part 3:
9Q%2F25 bags of flour (a fraction of a bag) was put into FIVE containers.


What fraction of the total amount of flour in each container?
This quantity 9Q/25 is split into 5 equal portions.
%289Q%2F25%29%281%2F5%29
highlight%289Q%2F125%29

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!
Matthew used 1/5 of a box of flour for cooking and 3/4 of the remainder to make bread. The rest of the flour was packed equally into 5 containers. What fraction of the total amount of flour in each container?
Please help and show your work thank you tutor!
Using 1%2F5 leaves a remainder of 4%2F5

Using 3%2F4 of remainder leaves 1%2F4 of remainder, or a remainder of %281%2F4%29+%2A+%284%2F5%29, or 1%2F5

He places %281%2F5%29%2F5, or highlight_green%281%2F25%29 in each of the 5 containers