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Question

Question
Use the table to answer the question.

White Red
3 4
x
8
9 12
12 y
The ratio of red to white paint to make the perfect color pink is 4 tablespoons of red paint to 3 tablespoons of white paint. How many tablespoons of white paint are needed if there are 8 tablespoons of red paint? How many tablespoons of red paint are needed if there are 12 tablespoons of white paint?(1 point)
White Red
3 4
8
9 12
12
Remaining Attempts : 3
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Answer 1

To solve the problem, we need to use the given ratio of red to white paint, which is 4:3.

Part 1: How many tablespoons of white paint are needed if there are 8 tablespoons of red paint?

Given:

• Red paint = 8 tablespoons

1. Set up the ratio: \[ \frac{\text{Red}}{\text{White}} = \frac{4}{3} \]

2. Plug in the value for red: \[ \frac{8}{\text{White}} = \frac{4}{3} \]

3. Cross-multiply to solve for white: \[ 4 \times \text{White} = 3 \times 8 \] \[ 4 \times \text{White} = 24 \]

4. Divide both sides by 4 to find white: \[ \text{White} = \frac{24}{4} = 6 \]

So, 6 tablespoons of white paint are needed when there are 8 tablespoons of red paint.

Part 2: How many tablespoons of red paint are needed if there are 12 tablespoons of white paint?

Given:

• White paint = 12 tablespoons

1. Set up the ratio: \[ \frac{\text{Red}}{\text{White}} = \frac{4}{3} \]

2. Plug in the value for white: \[ \frac{\text{Red}}{12} = \frac{4}{3} \]

3. Cross-multiply to solve for red: \[ 3 \times \text{Red} = 4 \times 12 \] \[ 3 \times \text{Red} = 48 \]

4. Divide both sides by 3 to find red: \[ \text{Red} = \frac{48}{3} = 16 \]

So, 16 tablespoons of red paint are needed when there are 12 tablespoons of white paint.

Summary:

• 6 tablespoons of white paint needed for 8 tablespoons of red paint.
• 16 tablespoons of red paint needed for 12 tablespoons of white paint.