Question

The participants at a seminar are from Singapore, Japan and the USA. There are 120 more participants from the USA than from Singapore. 24 participants are from Japan. If 26% of the participants are from Singapore, what percentage of the participants are from the USA?

Answer 1

66%

Explanation:

Let u represent the number from the USA. Then the number from Singapore is u-120. The given relationship is the fraction of participants from Singapore:

(u -120) = 0.26(u +(u -120) +24)

u -120 = 0.52u -24.96

0.48u = 95.04

u = 198 . . . . . . . . divide by the coefficient of u; participants from the USA

Then the fraction from the USA is ...

u/(2u-96) = 198/300 = 66% . . . percentage from the USA

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Additional comment

198 (66%) were from the USA

78 (26%) were from Singapore

24 (8%) were from Japan