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11Alexandr11 [23.1K]
3 years ago
13

a food bank has 50 cans of vegetables 30 loaves of bread and 100 bottles of water. The volunteers will put the items into boxes.

each box will have the same number of food items and all the items in the box will be the same type how many items can they put in each box?
Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0
10 boxes with 5 cans of vegetables,6 boxes with 5 loaves of bread and 20 boxes with 5 bottles of water.
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Answer:

The answers are \frac{2}{5}, \frac{1}{4}, \frac{1}{10}, \frac{5}{2}, \frac{5}{8}, \frac{4}{1}, \frac{8}{5}, and \frac{10}{1}.

Step-by-step explanation:

Proportions are fractions that can be made by using the given numbers, which in this case are 2, 5, 8, and 20. Let's pair each one with the other three and then simplify if possible.

First, let's begin with 2:

\frac{2}{5} = \frac{2}{5}

\frac{2}{8} = \frac{1}{4}

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Then, let's do 5:

\frac{5}{2} = \frac{5}{2}

\frac{5}{8} = \frac{5}{8}

\frac{5}{20} = \frac{1}{4}

Note that we already have \frac{1}{4}, so we do not need to include an additional one.

Now, let us do 8:

\frac{8}{2} = \frac{4}{1}

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See how we already have \frac{2}{5}, so we won't have to include that as well.

Finally, let's do 20:

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Now see that we already have both \frac{4}{1} and \frac{5}{2}, so we won't have to include both of them, as they are both extras.

Hence, the answers are \frac{2}{5}, \frac{1}{4}, \frac{1}{10}, \frac{5}{2}, \frac{5}{8}, \frac{4}{1}, \frac{8}{5}, and \frac{10}{1}.

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