Question 132924
A spice mixture is 25% thyme. How many grams of thyme must be added to 12 grams of the mixture to increase the thyme content to 40%?

Let x = amount of grams of thyme that must be added

Let's pretend that we have three cups.

In the cup 1, we have 12 grams times 25%.

In cup 2, we have x grams.

In cup 3, we have (0.40)(x + 12) grams.

We now have this equation:

12(0.25) + x = 0.40x + 4.80

3 + x = .40x + 4.80

x - .40x = 4.80 - 3

.60x = 1.80

x = 1.80/.60

x = 3 grams MUST BE ADDED