Sean mixes coconut oil with several other ingredients to make homemade toothpaste for his dog rocky. He uses 1/2 cup of coconut oil to make 2/3 cup of toothpaste. How much coconut oil does Sean use per cup of toothpaste

To find out how much coconut oil Sean uses per cup of toothpaste, we can set up a proportion.

Let x be the amount of coconut oil used per cup of toothpaste.

Using the given information, our proportion is:
1/2 cup of coconut oil / 2/3 cup of toothpaste = x cup of coconut oil / 1 cup of toothpaste

Cross-multiplying, we get:
(1/2) * 1 = (2/3) * x

Simplifying, we have:
1/2 = 2/3x

To solve for x, we divide both sides of the equation by 2/3:
x = (1/2) / (2/3)
x = (1/2) * (3/2)
x = 3/4

Therefore, Sean uses 3/4 cup of coconut oil per cup of toothpaste.