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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?

Sagot :

MrRoyal

Answer:

3/4 cup of coconut

Step-by-step explanation:

Given:

[tex]\frac{1}{2}[/tex] cup of coconut for [tex]\frac{2}{3}[/tex] cup of toothpaste

Required

Determine how much oil for a cup of toothpaste

Represent Coconut with C and Toothpaste with T;

So,

When

[tex]C = \frac{1}{2}\ \ T = \frac{2}{3}[/tex]

We're to solve for

C when T = 1

This can be represented as:

[tex]\frac{1}{2} = \frac{2}{3}[/tex] --- 1/2 to 2/3

[tex]C = 1[/tex]

Cross Multiply:

[tex]C * \frac{2}{3} = \frac{1}{2} * 1[/tex]

[tex]\frac{2}{3}C = \frac{1}{2}[/tex]

Solve for C

[tex]C = \frac{1}{2}/\frac{2}{3}[/tex]

[tex]C = \frac{1}{2}*\frac{3}{2}[/tex]

[tex]C = \frac{3}{4}[/tex]

This means Sean needs 3/4 cup of coconut oil

aryiapollard08

Answer:

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