Question

A student answered 46 problems on the test correctly and received a grade of 88%. how many problems were on the test if all problems we wear the same number of points?

Answer 1

The answer is 52 questions

Answer 2

so to find percentages we do the part over the whole.   So in this equations we do

(answered correctly)/(total number of questions) * 100=grade

answered correctly = 46 
Total number problems = x
where x is the number we don't know 
and 
grade is 88

(46)/(x) = .88 

multiply both sides by x 

we get 

46 = .88x

we just need to simplify
46/.88 = x
52.27 = x