SOLUTION: you missed 3 problems on a test and got 93%. How many problems were on the test?

Question 549371: you missed 3 problems on a test and got 93%. How many problems were on the test?
Found 2 solutions by TutorDelphia, solver91311:
Answer by TutorDelphia(193) (Show Source): You can put this solution on YOUR website!
Percent formula is
part/whole=percent/100
we know the part and the percent, but not the whole. The 3 questions must have been 7% of the test 100%-93%=7%
3/x=7/100 or 3/x=7% or 3/x=.07 depending on how you want to write it.
multiply both sides by x and we get 3=.07x
divide both sides by .93 and we get 3/.07=x
So we'd get 42.9 which we can round off to 43.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

If you received a 93% for missing 3, then if is the number of problems on the test:

So

and

So, if there were 40, 41, 42, 43, 44, 45, or 46 problems on the test and you missed three, your percentage score would round off to 93%.

John

My calculator said it, I believe it, that settles it

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