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09 Jun 2024, 16:25
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
64% (02:37) correct
36%
(01:16)
wrong
based on 11
sessions
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Tom can paint the fence either with blue or red paint. Blue paint costs 50% more per liter than red paint. However, blue paint covers 20% more area per liter than red. What percent less is the cost per square meter when using red paint compared to blue paint?
A. 10%
B. 15%
C. 20%
D. 25%
E. 30%
A. 10%
B. 15%
C. 20%
D. 25%
E. 30%
09 Jun 2024, 16:25
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Official Solution:
Tom can paint the fence either with blue or red paint. Blue paint costs 50% more per liter than red paint. However, blue paint covers 20% more area per liter than red. What percent less is the cost per square meter when using red paint compared to blue paint?
A. 10%
B. 15%
C. 20%
D. 25%
E. 30%
Assume the cost per liter of red paint is \($100\), and 1 liter covers 100 square meters, making the cost per square meter for red paint \(\frac{$100}{100}=$1\), or 100 cents.
Then, for blue paint, the cost per liter would be \($100 * 1.5 = $150\), and 1 liter would cover \(100 * 1.2 = 120\) square meters, making the cost per square meter for blue paint \(\frac{$150}{120}=$1.25\), or 125 cents.
Hence, the cost per square meter when using red paint compared to blue paint would be:
\(\frac{\text{the cost per square meter for blue paint} - \text{the cost per square meter for red paint}}{\text{the cost per square meter for blue paint}} * 100 = \frac{125 - 100}{125} * 100 = 20\) percent less.
Answer: C
Tom can paint the fence either with blue or red paint. Blue paint costs 50% more per liter than red paint. However, blue paint covers 20% more area per liter than red. What percent less is the cost per square meter when using red paint compared to blue paint?
A. 10%
B. 15%
C. 20%
D. 25%
E. 30%
Assume the cost per liter of red paint is \($100\), and 1 liter covers 100 square meters, making the cost per square meter for red paint \(\frac{$100}{100}=$1\), or 100 cents.
Then, for blue paint, the cost per liter would be \($100 * 1.5 = $150\), and 1 liter would cover \(100 * 1.2 = 120\) square meters, making the cost per square meter for blue paint \(\frac{$150}{120}=$1.25\), or 125 cents.
Hence, the cost per square meter when using red paint compared to blue paint would be:
\(\frac{\text{the cost per square meter for blue paint} - \text{the cost per square meter for red paint}}{\text{the cost per square meter for blue paint}} * 100 = \frac{125 - 100}{125} * 100 = 20\) percent less.
Answer: C
19 Apr 2025, 22:54
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This is a great question that’s helpful for learning.
