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% Grade was achieved, so 0.98 of the questions were answered correctly.

n = number of problems

$\frac{86}{n} = 0.98 \\ \\ n = \frac{86}{0.98} \\ \\ n = 87.755...$

Our final answer can't be a decimal, so we round it to:

$n = 87$