Answer:
the packet contains 12 fruit centers and 18 caramel centers.
Step by step explanation:
If there are 2 fruit centers for every 3 caramel centers, then we can write the ratio of fruit centers to caramel centers as 2:3.
Let's call the number of fruit centers in the packet "2x" and the number of caramel centers "3x".
According to the problem statement, the total number of candies in the packet is 30. So we can write:
2x + 3x = 30
Simplifying the above equation, we get:
5x = 30
Solving for x, we get:
x = 6
Therefore, the number of fruit centers in the packet is:
2x = 2(6) = 12
And the number of caramel centers in the packet is:
3x = 3(6) = 18
So the packet contains 12 fruit centers and 18 caramel centers.