A box of candies contains caramel chocolates and chocolates with nuts. If there are 3 times as many caramel chocolates, what is the number of each type if the total is 20?

To determine the number of caramel chocolates and the chocolates with nuts, it is essential to understand the relationship between the two quantities based on the information given in the question.

Let's define the number of chocolates with nuts as "x." Since there are three times as many caramel chocolates, the number of caramel chocolates can be expressed as "3x." According to the problem, the total number of chocolates in the box is 20. Therefore, we set up the equation:

x (chocolates with nuts) + 3x (caramel chocolates) = 20.

This can be simplified to:

4x = 20.

To find the value of x, divide both sides of the equation by 4:

x = 20 / 4,

x = 5.

With this value, we can now find the number of caramel chocolates by substituting x back into the expression for caramel chocolates:

Number of caramel chocolates = 3x = 3(5) = 15.

Thus, there are 15 caramel chocolates and 5 chocolates with nuts. The correct answer indicates that there are 15 caramel and 5 with nuts, which aligns perfectly with the calculations made based on the information from the question.