Question

A math test had 26 questions. The questions were either true/false or multiple choice. The true/false questions were worth 2 points each and the multiple choice were worth 5 points each. If the test is worth 100 points, how many of each type of question are included on the test?

Answer 1

True/ false type 10 questions

Multiple choice type 16 questions

Explanation:

Using the given formation we can make equations to solve for the number of questions of either type is to be included

let the no of true/false be =x

let the number of multiple choice to be included be = y

x + y=26 .............(1)

now making the equation of points

2x + 5y = 100 .........(2)

substitute y = 26-x from first equation in the second equation

2x + 5(26 - x ) = 100

2x - 5x + 130 = 100

3x=30

x=10

y =26-10=16