3x - 15 = 39
+ 15 +15
3x = 54 (divide by 3 on each side)
X = 18
For every 1 cup of blue paint,
cups of red paint are needed
For every 1 cup of red paint,
cup of blue paint is needed
For every 4 cups of red paint,
cups of blue paint are needed
<em><u>Solution:</u></em>
Given that, there are 3 1/3 red cups of paint for every 1 1/3 cups of blue paint
Therefore, ratio is

<h3><u>For every 1 cup of blue paint, ___ cups of red paint are needed</u></h3>
Let "x" be the cups of red paint needed
Then we get,

This forms a proportion

Therefore, 10/4 cups of red are needed for 1 cup of blue
<h3><u>For every 1 cup of red paint, ___ cup of blue paint is needed</u></h3>
Let "x" be the cups of blue paint needed
Then, we get

This forms a proportion

Thus, 4/10 cups of blue are needed for 1 cup of red paint
<h3><u>For every 4 cups of red paint,___ cups of blue paint are needed</u></h3>
Let "x" be the cups of blue paint needed
Then, we get

This forms a proportion

Thus 16/10 cups of blue paint are needed for every 4 cups of red paint
Answer:
x = 24/13
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
18/13 = 3/4x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide both sides by 3/4: x = 24/13
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 18/13 = 3/4(24/13)
- Multiply: 18/13 = 18/13
Answer:

Step-by-step explanation:

Double negative = Positive:

Apply negative exponent formula:

Multiply:

Apply exponent rule: 
Thus, 
Simplify:
