Question

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?

Answer 1

Answer:

3/4 cup of coconut

Step-by-step explanation:

Given:

$\frac{1}{2}$ cup of coconut for $\frac{2}{3}$ cup of toothpaste

Required

Determine how much oil for a cup of toothpaste

Represent Coconut with C and Toothpaste with T;

So,

When

$C = \frac{1}{2}\ \ T = \frac{2}{3}$

We're to solve for

C when T = 1

This can be represented as:

$\frac{1}{2} = \frac{2}{3}$ --- 1/2 to 2/3

$C = 1$

Cross Multiply:

$C * \frac{2}{3} = \frac{1}{2} * 1$

$\frac{2}{3}C = \frac{1}{2}$

Solve for C

$C = \frac{1}{2}/\frac{2}{3}$

$C = \frac{1}{2}*\frac{3}{2}$

$C = \frac{3}{4}$

This means Sean needs 3/4 cup of coconut oil

Answer 2

Answer:

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