AlgebraMediumA number less 40% of itself
Algebra practice question
When 40% of a number is subtracted from the number, the result is 27. What is the number?
Answer: 45
Let the number be x: x − 0.4x = 0.6x = 27, so x = 27/0.6 = 45. Check: 40% of 45 is 18, and 45 − 18 = 27.
Common wrong answers
- If you answered 67.5
- 67.5 is 27/0.4, treating the 27 as 40% of the number. It is the remaining 60%.
- If you answered 37.8
- 37.8 is 27 × 1.4, adding 40% to 27. The 40% was taken of the original number, not of 27.
- If you answered 16.2
- 16.2 is 27 × 0.6, applying the 60% to 27 instead of solving 0.6x = 27.
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