Question

make a diagram to show the amount of blue paint and yellow paint jenny uses.
fabric paint
blue
yellow
total
6
2
enter the ratio of blue paint to yellow paint.
ounces of blue paint :
?
ounces of yellow paint

Explanation:

Step1: Define variables for paints

Let $y$ = ounces of yellow paint, $b$ = ounces of blue paint.

Step2: Set up total paint equation

Total paint is 8 ounces:
$$b + y = 8$$

Step3: Set up ratio relationship

Blue is 3× yellow:
$$b = 3y$$

Step4: Substitute and solve for $y$

Substitute $b=3y$ into total equation:
$$3y + y = 8$$
$$4y = 8$$
$$y = \frac{8}{4} = 2$$

Step5: Solve for $b$

Use $b=3y$:
$$b = 3 \times 2 = 6$$

Step6: Find blue to yellow ratio

Ratio is $b:y$:
$$6:2$$
Simplify by dividing by 2: $3:1$

Answer:

6 ounces of blue paint : 2 ounces of yellow paint
Simplified ratio: $3:1$