Orly needed a total of 40 cups of trail mix to make 12 cups of raisins.
What are the ratio and proportion?
The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
For example, a/b, where a will be the numerator and b, will be the denominator.
Given that
For 3 cups of raisins ⇔ 10 cups of trail mix needed
Dividing by 3 to the whole equation
1 cup of raisins ⇔ 10/3 cups of trail mix are needed.
Multiply by 12 to the whole equation
1 × 12 cups of raisins ⇔ (10/3) × 12 cups of trail mix are needed.
12 cups of raisins ⇔ and 40 cups of trail mix are needed.
Hence for 12 cups of raisins, there are 40 cups of trail mix needed.
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