Problem 4 · 2017 Math Kangaroo
Medium
Fractions, Decimals & Percents
percent-multiplier
Two positive numbers a and b have the following property: 75% of a is equal to 40% of b. From that it follows that:
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Answer: A — \(15a = 8b\)
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Hint 1 of 2
Write '75% of a' and '40% of b' as decimals and set them equal.
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Hint 2 of 2
Clear the decimals by multiplying both sides by 100, then simplify.
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Approach: translate the percent statement into an equation and simplify
- 75% of a equals 40% of b means 0.75a = 0.40b.
- Multiply both sides by 100: 75a = 40b.
- Divide both sides by 5: 15a = 8b.
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