Question

A student missed 33 problems on a biology test and received a grade of 86%86%. if all the problems were of equal value, how many problems were on the test? round off your answer to the nearest integer.

Answer 1

Ok so we know that the student scored 86%, but missed 33 problems. That means those 33 problems were worth 14% of the total mark, as the would've scored 100% if they scored those as well.

This means that one percent is equivalent to
$\frac{33}{14} questions$
Which is about 2.357 questions.
Therefore all the questions (which is 100%) is
$\frac{33}{14} \times 100$
Which is 235.71 questions, rounded up to 236 questions.
So there were 236 problems in the test
Hope this helped