If you answered 37 questions correctly on a test, and received a score of 74%, how many questions were on the test?

Question

how many questions were on the test?

 

 

Answer 1

74% is the same as 74 out of 100. So we need to set up a ratio problem:

37/x = 74/100

the x is the unknown number of question on the test.

..... Okay, I'm going to shortcut this right here and now. 37 is half of 74. That means we need the half of 100. 100/2 equals 50.

 

Here's the mathematics to prove it. Start by cross multiplying:

37 * 100 = 74x

^{37 * 100} / ₇₄ = x

Factor out a 2:

^{37 * 50} / ₃₇ = x

Factor out 37:

50 = x

So indeed, there are 50 questions.