There are 60 questions on a math test. There are twice as many multiple-choice than fill-in and 10 more multiple-choice than true-false. How many of each type of question are there on the math test?

Question

There are 60 questions on a math test. There are twice as many multiple-choice than fill-in and 10 more multiple-choice than true-false. How many of each type of question are there on the math test?

Answer 1

MC + FI + TF = 60

MC = 2FI

MC = 10+TF

FI= MC/2

TF = MC-10

MC +MC/2 + MC-10 = 60

5MC/2 = 70

MC =70(2/5) = 28 Multiple Choice questions

FI = 14 Fill In questions

TF = 18 True False questions