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 gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!