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Margot used \(\frac{1}{2}\) pounds of turkey to make \(\frac{2}{3}\) liters of turkey chili. If Margot's recipe is for 1 liter of turkey chili, how many pounds of turkey will she need to make 4 times the recipe?

Answer :

Margot needs 3/4 pounds of turkey to make 1 liter of turkey chili. To make 4 liters of turkey chili, which is 4 times the recipe, she will need 3 pounds of turkey.

Margot used 1/2 pound of turkey to make 2/3 liters of turkey chili. To find out how much turkey she will need for 4 liters of turkey chili (4 times the 1-liter recipe), we need to calculate the amount of turkey needed per liter first and then multiply it by 4.

First, we determine the amount of turkey needed for 1 liter by setting up a proportion. Since 1/2 pound of turkey makes 2/3 liters, we have:

1/2 pound / (2/3) liter = x pounds / 1 liter

By cross-multiplication, we find that x = (1/2) * (3/2) = 3/4. Therefore, Margot needs 3/4 pounds of turkey for 1 liter of chili.

To make 4 times the recipe, or 4 liters, Margot will need 4 * 3/4 pounds of turkey = 3 pounds of turkey.

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The answer to this question is 32