# 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?

Oct 17, 2017

98% is almost 100%, so we can see that the number of problems on the test can only be $1 \mathmr{and} 2$ 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: $\frac{N}{86} = \frac{\cancel{100} 50}{\cancel{98} 49} \to$ then: $49 N = 4300$

$N = \frac{4300}{49} = 87.75 r o u n \mathrm{de} d \to 87.$