George is making a snack of peanuts and dried fruit.his recipe requires 1 ounce of peanuts for every 3 ounces of dried fruit.if he wants to make 32 ounces of his snack mix how many ounces of dried fruit should he use?
32 / (3 + 1) = 8 ... 3 * 8 = 24
OR ... 3 / (3 + 1) = 3/4 ... 3/4 * 32 = 24
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To determine how many ounces of dried fruit George should use, we need to find the ratio between the amount of peanuts and the amount of dried fruit in the recipe. The given ratio is 1 ounce of peanuts to 3 ounces of dried fruit.
Let's calculate the ratio of peanuts to dried fruit:
1 ounce of peanuts : 3 ounces of dried fruit
Now, since we know that George wants to make 32 ounces of his snack mix, we can set up a proportion to find the amount of dried fruit needed:
1 ounce of peanuts / 3 ounces of dried fruit = x ounces of peanuts / 32 ounces of dried fruit
To solve for x (the amount of dried fruit), we can cross-multiply and solve for x:
1 * 32 = 3 * x
32 = 3x
Now, divide both sides of the equation by 3 to solve for x:
32 / 3 = x
10 + 2/3 = x
Therefore, George should use approximately 10 2/3 ounces of dried fruit in his snack mix.