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 was in each container?
3 answers
Use the equation (x - x/5 - 3/4(x/5))/5 to find the amount in each container. Choose a "convenient" value for x, which represents the total amount of flour, and divide the amount in each container by the total amount to get the fraction.
Used 1/5 of a box.
Remainder = 5/5-1/5 = 4/5 box.
Used 3/4 * 4/5 = 12/20 = 3/5 box to make bread.
Remainder = 4/5 - 3/5 = 1/5 box.
(1/5)/5 = 1/5 * 1/5 =1/25 box in each container.
Remainder = 5/5-1/5 = 4/5 box.
Used 3/4 * 4/5 = 12/20 = 3/5 box to make bread.
Remainder = 4/5 - 3/5 = 1/5 box.
(1/5)/5 = 1/5 * 1/5 =1/25 box in each container.
The answer is 1/100 according to 5/5-1/5=4/5-3/4=0.05/5
1 answer