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?

  66%

Step-by-step 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

Additional comment

198 (66%) were from the USA

78 (26%) were from Singapore

24 (8%) were from Japan

if x = 1, then the answer is 3.5

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a