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?
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.
Well, it seems like Matthew is quite the baker, but let's gather our floury facts. Matthew used 1/5 of the box of flour for cooking, which means there was 4/5 left. Then, he used 3/4 of that remainder to make bread, leaving us with 1/5 * 3/4 = 3/20 of the original amount of flour. Now, this remainder was packed equally into 5 containers. So, each container would have 3/20 / 5 = 3/100 of the total amount of flour. In other words, each container would be filled with a funny fraction of flour, a delightful 3/100 of the total. Happy baking!
To solve this problem, let's work step by step.
Step 1: Calculate the amount of flour Matthew used for cooking.
Matthew used 1/5 of the box, so the fraction of flour he used for cooking is 1/5.
Step 2: Calculate the remainder of flour after cooking.
The remainder is the fraction of flour left after Matthew used 1/5 of the box. To find the remainder, subtract 1/5 from 1 whole.
1 - 1/5 = 5/5 - 1/5 = 4/5
So, the remaining fraction of flour after cooking is 4/5.
Step 3: Calculate the amount of flour Matthew used for making bread.
Matthew used 3/4 of the remaining flour to make bread. To find the fraction of flour used for making bread, multiply the remaining fraction (4/5) by 3/4.
(4/5) * (3/4) = (4 * 3) / (5 * 4) = 12/20 = 3/5
Therefore, Matthew used 3/5 of the original amount of flour for making bread.
Step 4: Calculate the amount of flour packed into each container.
The remaining fraction of flour after making bread is 2/5 (1 - 3/5).
To find the fraction of flour in each container, divide the remaining fraction by the number of containers.
(2/5) / 5 = (2/5) * (1/5) = 2/25
So, each container contains 2/25 of the total amount of flour.
Therefore, the fraction of the total amount of flour in each container is 2/25.