QUESTION IMAGE
Question
jenny is making tie - dyed shirts for her class with her school colors, blue and yellow. she uses a total of 8 ounces of fabric paint. the amount of blue paint is 3 times the amount of yellow paint. make a diagram to show the amount of blue paint and yellow paint jenny uses.
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: $y + b = 8$
Step3: Relate blue and yellow paint
Blue is 3× yellow: $b = 3y$
Step4: Substitute and solve for $y$
Substitute $b=3y$ into total equation:
$y + 3y = 8$
$4y = 8$
$y = \frac{8}{4} = 2$
Step5: Calculate blue paint amount
Use $b=3y$:
$b = 3×2 = 6$
Step6: Fill the diagram table
Each row represents 1 ounce of total paint. We have 6 ounces of blue and 2 ounces of yellow, so mark 6 cells in the Blue column and 2 cells in the Yellow column, with 8 total rows (matching 8 ounces).
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| Fabric Paint | Blue | Yellow |
|---|---|---|
| 2 | X | |
| 3 | X | |
| 4 | X | |
| 5 | X | |
| 6 | X | |
| 7 | X | |
| 8 | X | |
| Total | 6 | 2 |
(Where "X" marks the presence of that color of paint in each 1-ounce portion of the total 8 ounces.)