Matthew used 1/5 of a box of flour for cooking and ¾ 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?
0.2 + 0.75 = 0.95 of the box
0.05 / 5 = 0.01 of the box were in each container.
*was in each . . .
I got 11/100
To find the fraction of the total amount of flour in each container, we need to follow the steps mentioned in the problem.
Step 1: Matthew used 1/5 of the box of flour for cooking.
So, the remainder of the flour left in the box = 1 - 1/5 = 4/5.
Step 2: Matthew used 3/4 of the remainder to make bread.
So, the amount of flour used for bread = (3/4) * (4/5) = 12/20 = 3/5.
Step 3: The remaining flour after making bread = 1 - 3/5 = 2/5.
Step 4: The remaining flour is packed equally into 5 containers.
So, the fraction of the total amount of flour in each container = (2/5) / 5.
To simplify this fraction, we multiply the numerator and denominator by the reciprocal of the denominator.
(2/5) / 5 = (2/5) * (1/5) = 2/25.
Therefore, the fraction of the total amount of flour in each container is 2/25.