The candy factory sells three times as many mints as it sells almonds bars. It sells half as many almond bars as it sells caramels. If It sells 3,750 cases of mints each month, how many caramels does it sell in one month?

m = 3a

a = c/2
m = 3750
Now just substitute:
c = 2a = 2(m/3) = 2(3750/3) = 2500

To find out how many caramels the candy factory sells in one month, we need to work our way backwards based on the given information.

Let's start by figuring out the number of almond bars it sells. We know that it sells half as many almond bars as it sells caramels. So, if the factory sells x cases of caramels in one month, it would sell x/2 cases of almond bars.

Next, we're told that the candy factory sells three times as many mints as it does almond bars. So, if it sells x/2 cases of almond bars, it would sell 3 * (x/2) = 3x/2 cases of mints.

Now, we know that the factory sells 3,750 cases of mints each month. So, we can set up the equation:

3x/2 = 3750

To solve for x, we can multiply both sides of the equation by 2/3:

(2/3) * (3x/2) = (2/3) * 3750

x = (2/3) * 3750 * 2/3

Simplifying, we find:

x = 2500

Therefore, the candy factory sells 2500 cases of caramels in one month.