Lucas had a mix of red and purple jelly beans. There were 2 red jelly beans for every 3 purple jelly beans. If there are 40 jelly beans in his bag, how many are purple?

24 purple jelly beans

Step-by-step explanation:

We are told in the question that;

Lucas had a mix of red and purple jelly beans. There were 2 red jelly beans for every 3 purple jelly beans.

The results in a ratio

2:3

Where 2 represented red jelly beans

3 represented purple jelly beans

Total number of jelly beans = 40 jelly beans.

The number of purple jelly beans that we have =

3/( 2 + 3) × 40

= 3/5 × 40

= 3 × 8

= 24.

Hence, there are 24 purple jelly beans in the bag.