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Of a squirrel's hidden nuts, for every 5 that get found, there are 3 that do not get found. A squirrel hid 40 nuts all together.
How many of the nuts do not get found?
nuts

Of a squirrel's hidden nuts, for every $5$ that get found, there are $3$ that do not get found. A squirrel hid $40$ nuts all together. $\newline$ How many of the nuts do not get found? $\newline$ nuts

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Divide numbers ending in zeros: word problems

Full solution

Q. Of a squirrel's hidden nuts, for every

5

that get found, there are

3

that do not get found. A squirrel hid

40

nuts all together.

\newline

How many of the nuts do not get found?

\newline

nuts

Understand Ratio: Understand the ratio of found to not found nuts. For every $5$ nuts found, there are $3$ nuts that do not get found. This gives us a ratio of found to not found nuts, which is $5:3$ .
Calculate Total Parts: Calculate the total number of parts in the ratio. $\newline$ The total number of parts in the ratio is the sum of the parts for found nuts and not found nuts. $\newline$ Total parts = $5$ (found) + $3$ (not found) = $8$ parts.
Determine Value of Part: Determine the value of one part. $\newline$ The squirrel hid $40$ nuts in total. To find the value of one part, we divide the total number of nuts by the total number of parts in the ratio. $\newline$ Value of one part = Total nuts / Total parts = $40$ nuts / $8$ parts = $5$ nuts per part.
Calculate Not Found Nuts: Calculate the number of nuts that do not get found. $\newline$ Since the value of one part is $5$ nuts, and there are $3$ parts that represent the nuts that do not get found, we multiply the value of one part by the number of parts for not found nuts. $\newline$ Number of nuts not found = Value of one part $\times$ Number of parts for not found nuts = $5$ nuts per part $\times$ $3$ parts = $15$ nuts.

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