SOLUTION: A student missed 5 problems on a History test and received a grade of 83%. If all the problems were of equal value, how many problems were on the test?

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Question 517896: A student missed 5 problems on a History test and received a grade of 83%. If all the problems were of equal value, how many problems were on the test?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
student missed 5 problems on a History test and received a grade of 83%.
If all the problems were of equal value, how many problems were on the test?
:
Let x = total number of problems on the test
%28%28x-5%29%29%2Fx = .83
Multiply both sides by x
x - 5 = .83x
x - .83x = 5
.17x = 5
x = 5%2F.17
x = 29.4 ~ 29 problems on the test
:
:
Check that 24/29 = .827 rounded to .83 or 83%