Question

In a bag of trail mix, the number of bags is proportional to the number of raisins per bag. The constant of proportionality in terms of raisins per bag is 3, and there are 27 raisins in the bags. How many bags are there?

a. 9
b. 12
c. 15
d. 18

Answer 1

There is 1 bag of trail mix in the given scenario.

Step-by-step explanation:

To find the number of bags in the trail mix, we can set up a proportion using the constant of proportionality and the number of raisins. Let's call the number of bags 'x'. We have the proportion:

3/27 = x/1

Cross multiplying, we get:

3 * 1 = 27 * x

Simplifying, we have:

3 = 27x

Dividing both sides by 27, we find:

x = 3/27

x = 1/9

So, there is 1 bag of trail mix.