Question

A student answers

90%
of the questions on a math exam correctly. If
sheshe
answers
27
questions​ correctly, how many questions are on the​ exam?

Answer 1

So, we have the percentage she gets which is, 90% and the number of questions she answers correctly, which is 27

To find the number of questions in the exam, make an equation
(90% =
`(90)/(100)` = 0.9)

`(90)/(100)` =
`(27)/(x)`
cross multiply and equate them
90x = 27 x 100
90x = 2700
divide by 90 on either sides to isolate x in order to find the answer

`(90x)/(90) = (2700)/(90)`
90 and 90 cancels out
x = 30
So your final answer will be, there were 30 questions in the exam paper.