SHSAT Prep
SHSAT question 112 by SOMATH
The table below shows the number of cups of red paint and blue paint used to make a purple paint mixture. Based on the relationship between red and blue paint, what is the value of y?
Purple Paint Mixture Problem (Proportions)
Question:
The table below shows the number of cups of red paint and blue paint used to make a purple paint mixture.
| Cups of Red Paint | Cups of Blue Paint |
|---|---|
| 1 | 1.5 |
| 4 | 6 |
| 11 | y |
Based on the relationship between red and blue paint, what is the value of y?
A) 10.5
B) 13
C) 16.5
D) 24
Step-by-Step Solution
This is a proportional relationship.
From the table:
When red = 1, blue = 1.5
So the ratio is constant: Blue = 1.5 × Red
For 11 cups of red paint: y = 1.5 × 11 = 16.5
Final Answer: 16.5
Why This Matters
This type of problem builds essential skills in:
- Ratios and proportions
- Algebraic thinking
- Real-world math applications
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