Trail mix for 12 people uses 12 cups of almonds, 4 cups of raisins, and 4/3 cups of chocolate chips. Computed using unit rates.
The unit rate is the value in respect to a single quantity.
In the question, we are given that trail mix made for three people uses 3 cups of almonds, 1 cup of raisins, and 1/3 cup of chocolate chips.
We are asked the quantity of each ingredient if the same ratio of ingredients is used for twelve people.
We will first find the unit rate for each ingredient, that is, the quantity required to make trail mix for one person, and then multiply it by 12.
Unit rates for:-
Almonds:
3 person requires 3 cups.
Thus, 1 person requires 3/3 = 1 cup.
Raisins:
3 persons required 1 cup.
Thus, 1 person requires 1/3 cup.
Chocolate chips:
3 people required 1/3 cups.
Thus, 1 person requires 1/9 cup.
Thus, the quantity of each ingredient can be calculated by multiplying the unit rate by 12.
Quantity for 12 people:-
Almonds:
Unit rate = 1 cup.
Thus, for 12 people the quantity required is 1*12 = 12 cups.
Raisins:
Unit rate = 1/3 cup.
Thus, for 12 people the quantity required is 1/3*12 = 4 cups.
Chocolate chips:
Unit rate = 1/9 cup.
Thus, for 12 people the quantity required is 1/9*12 = 4/3 cups.
Thus, trail mix for 12 people uses 12 cups of almonds, 4 cups of raisins, and 4/3 cups of chocolate chips. Computed using unit rates.
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