Orly uses 3

Question

cups of raisins for every 10
cups of trail mix she makes. How many cups of trail mix will she make if she uses 12
cups of raisins?

Answer 1

To find out how many cups of trail mix Orly will make using 12 cups of raisins, we can set up a proportion based on the given ratio of raisins to trail mix.

According to the problem, the ratio is:

• 3 cups of raisins corresponds to 10 cups of trail mix.

We can write this as: \[ \frac{3 \text{ cups of raisins}}{10 \text{ cups of trail mix}} = \frac{12 \text{ cups of raisins}}{x \text{ cups of trail mix}} \] Where \( x \) is the number of cups of trail mix we want to find.

Now we cross-multiply: \[ 3x = 10 \times 12 \]

Calculating the right side: \[ 3x = 120 \]

Now, divide both sides by 3 to solve for \( x \): \[ x = \frac{120}{3} = 40 \]

So, if Orly uses 12 cups of raisins, she will make 40 cups of trail mix.