Question

4 of 54 of 5 Items














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.