
when pilgrims counted noses, they got a count that was 128 percent too high. if they counted 9120 noses, what was the correct count? grade 9 middle school
student asking
Hi,
If you had said "14% too high" then my solution would have been:
Suppose that that the number of noses was x. You know that 9120 is 14% too high, that is 9120 is 100% of x plus 14% of x, in other words 114% of x. Thus
9120 = ^{114}/_{100} x
and hence x = 9120 ^{100}/_{114} = 8000
Using the same argument "128% too high" gives
x = 9120 ^{100}/_{228} = 4000
Maybe what is expected is
x = 9120 ^{100}/_{128} = 7125
In your opinion,
which of these calculations corrects a count that is "128 percent
too high"?
Cheers,
Claude
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