Question

A 100-point test consists of 2-point questions and 5-point questions . There are a total of 44 questions ont the test . How many questions of each type are there on the test

Answer 1

40 - 2 point questions and 4 - 5 point questions

Explanation:

To solve this situation, write two equations. One for the number of questions and one for the number of points.

Let x be the number of 2 point questions.

Let y be the number of 5 point questions.

x + y = 44

Now since x are each worth 2 points, the total points is 2x.

And since y are each worth 5 points, the total points is 5y.

So 2x + 5y = 100. Substitute one of the equations into the other to solve for the variables.

x + y = 44 becomes x = 44 - y. Substitute it.

2(44-y) + 5y = 100

88 - 2y + 5y = 100

88 + 3y = 100

3y = 12

y = 4

Substitute y = 4 back into the equation x = 44 - y to find x.

x = 44 - 4

x = 40