Question

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?

Answer 1

`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.`