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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 55 that get found, there are 33 that do not get found. A squirrel hid 4040 nuts all together.\newlineHow many of the nuts do not get found?\newlinenuts

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Full solution

Q. Of a squirrel's hidden nuts, for every 55 that get found, there are 33 that do not get found. A squirrel hid 4040 nuts all together.\newlineHow many of the nuts do not get found?\newlinenuts
  1. Understand Ratio: Understand the ratio of found to not found nuts. For every 55 nuts found, there are 33 nuts that do not get found. This gives us a ratio of found to not found nuts, which is 5:35:3.
  2. Calculate Total Parts: Calculate the total number of parts in the ratio.\newlineThe total number of parts in the ratio is the sum of the parts for found nuts and not found nuts.\newlineTotal parts = 55 (found) + 33 (not found) = 88 parts.
  3. Determine Value of Part: Determine the value of one part.\newlineThe squirrel hid 4040 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.\newlineValue of one part = Total nuts / Total parts = 4040 nuts / 88 parts = 55 nuts per part.
  4. Calculate Not Found Nuts: Calculate the number of nuts that do not get found.\newlineSince the value of one part is 55 nuts, and there are 33 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.\newlineNumber of nuts not found = Value of one part ×\times Number of parts for not found nuts = 55 nuts per part ×\times 33 parts = 1515 nuts.

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