Jacob is helping his father’s bakery to make their huge holiday fruitcake, which requires 84 ounces of dried fruit. If the recipe says the ratio of dried pineapple to currants to cranberries is 9:7:5, how many ounces of currants should Jacob fold into the batter?

Question

12-02-2018
Mathematics

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Jacob is helping his father’s bakery to make their huge holiday fruitcake, which requires 84 ounces of dried fruit. If the recipe says the ratio of dried pineapple to currants to cranberries is 9:7:5, how many ounces of currants should Jacob fold into the batter?

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LeonardoVivaldi LeonardoVivaldi · Answer 1 · 2018-02-20T09:00:18+01:00

Answer: 28 ounces

Explanation:

Since the ratio of dried pineapple to curants to cranberries is 9:7:5, we can define the following variables:

9x = Amount of dried pineapples required in the recipe
7x = Amount of curants required in the recipe
5x = Amount of cranberries required in the recipe

Since the fruitcake requires a total of 84 ounces of fruit, we add the amount of dried pineapples, curants and cranberries and equate it to 84 ounces.

In terms of equation:

9x + 7x + 5x = 84
21x = 84

Divide both sides of the previous equation by 21 to obtain the following:

x = 4

Hence, the amount of curant is given by

7x = 7(4) = 28 ounces