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A fruit basket is filled with 8 bananas, 3 oranges, 5 apples, and 6 kiwis.
Complete the ratio.
For every 3 kiwis, there are 4 _____ (Select a fruit).

A fruit basket is filled with 88 bananas, 33 oranges, 55 apples, and 66 kiwis.\newlineComplete the ratio.\newlineFor every 33 kiwis, there are 44 _____ (Select a fruit).

Full solution

Q. A fruit basket is filled with 88 bananas, 33 oranges, 55 apples, and 66 kiwis.\newlineComplete the ratio.\newlineFor every 33 kiwis, there are 44 _____ (Select a fruit).
  1. Determine the ratio of kiwis to total fruits: First, we need to determine the ratio of kiwis to the total number of fruits in the basket.\newlineNumber of kiwis: 66\newlineTotal number of fruits: 88 bananas + 33 oranges + 55 apples + 66 kiwis = 2222 fruits\newlineRatio of kiwis to total fruits: 6 kiwis22 fruits\frac{6 \text{ kiwis}}{22 \text{ fruits}}
  2. Simplify the ratio for every 33 kiwis: Next, we simplify the ratio of kiwis to total fruits to find the ratio of kiwis to one of the other fruits for every 33 kiwis.\newlineSince we are looking for the ratio for every 33 kiwis, we divide the number of kiwis by 33.\newline6 kiwis3=2\frac{6 \text{ kiwis}}{3} = 2\newlineThis means for every 33 kiwis, we have 22 times the number of kiwis in the total count of fruits.
  3. Find a fruit with a ratio of 22 times the number for every 33 kiwis: Now, we need to find a fruit that has a number that is 22 times the number for every 33 kiwis. We will check each fruit to see which one fits this ratio.\newlineFor bananas: 8 bananas2=4\frac{8 \text{ bananas}}{2} = 4\newlineFor oranges: 3 oranges2=1.5\frac{3 \text{ oranges}}{2} = 1.5 (not a whole number, so it doesn't fit)\newlineFor apples: 5 apples2=2.5\frac{5 \text{ apples}}{2} = 2.5 (not a whole number, so it doesn't fit)\newlineSince bananas give us a whole number when divided by 22, they fit the ratio we are looking for.
  4. Conclusion: For every 33 kiwis, there are 44 bananas: Therefore, for every 33 kiwis, there are 44 bananas.

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