A student answered 86 problems on a test correctly and received a grade 98%. How many problems were on the test, if all the problems were worth the same number of points?

1 Answer
EET-AP
Oct 17, 2017

#98%# is almost #100%#, so we can see that the number of problems on the test can only be #1 or 2# more than #86#.

The number of problems on the test is #87#

Explanation:

Number of problems on test #= N#, and that is #100%#
Correct no. of problems on test #= 86#, and that is #98%#

So: #N/86=(cancel(100)50)/(cancel(98)49)to# then: #49N=4300#

#N=4300/49=87.75rounded to87.#

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