Isabel grows potatoes in her garden. This year, she harvested 760 potatoes and saved 10% of them to plant next...
GMAT Problem-Solving and Data Analysis : (PS_DA) Questions
Isabel grows potatoes in her garden. This year, she harvested \(760\) potatoes and saved \(10\%\) of them to plant next year. How many of the harvested potatoes did Isabel save to plant next year?
66
76
84
86
1. TRANSLATE the problem information
- Given information:
- Total potatoes harvested: 760
- Percentage saved: 10%
- Need to find: Number of potatoes saved
- This asks us to find 10% of 760 potatoes.
2. TRANSLATE the percentage operation
- '10% of 760' means multiply 760 by the decimal form of 10%
- Convert the percentage: \(10\% = \frac{10}{100} = 0.1\)
- Mathematical expression: \(760 \times 0.1\)
3. SIMPLIFY the calculation
- \(760 \times 0.1 = 76\)
- Isabel saved 76 potatoes to plant next year
Answer: B. 76
Why Students Usually Falter on This Problem
Most Common Error Path:
Weak TRANSLATE skill: Students misread 760 as 660, especially when working quickly through the problem.
When they calculate 10% of 660 instead of 760:
\(660 \times 0.1 = 66\)
This may lead them to select Choice A (66).
Second Most Common Error:
Conceptual confusion about percentages: Students might confuse 10% with other decimal conversions, such as thinking \(10\% = 0.01\) instead of 0.1.
If they calculate \(760 \times 0.01 = 7.6\), they realize this is too small and might guess among the remaining choices, or make additional calculation errors trying to 'fix' their work.
The Bottom Line:
This problem tests whether students can accurately translate percentage language into mathematical operations and perform the conversion correctly. The key stumbling blocks are reading accuracy and percentage-to-decimal conversion.
66
76
84
86