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4 January, 08:05

Deepak is making a large amount of trail mix. He uses 2 cups of raisins in a single batch, which makes 7 cups. If he uses 14 1/4 cups of other ingredients, how many cups of raisins will he use?

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  1. 4 January, 09:25
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    5 7/10 cups of raisins

    Step-by-step explanation:

    We assume that the total volume made equals the sum of the volumes of the individual ingredients.

    He uses 2 cups of raisins and makes 7 cups of trail mix. That mean the amount of other ingredients is 7 cups - 2 cups = 5 cups.

    He uses 2 cups raisins and 5 cups of other ingredients.

    When he uses 14 1/4 cups of other ingredients instead of only 5 cups, he is multiplying the recipe to make it bigger.

    Now we calculate how many times he is multiplying the recipe by.

    14 1/4 divided by 5 = (14 1/4) / 5 = (57/4) / 5 = 57/4 * 1/5 = 57/20

    He is making 57/20 times the original recipe.

    Since he is making 57/20 times the recipe, he needs 57/20 times 2 cups of raisins.

    Now we calculate what 57/20 times 2 cups of raisins is.

    57/20 * 2 = (57 * 2) / 10 = (57 * 2) / (10 * 2) = 57/10 = 5 7/10

    Answer: 5 7/10 cups of raisins
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