Question

A test has 19 questions worth a total 100 points. There are ten-point questions and four-point questions. How many of each type of question are there?

Answer 1

Answer: 4 ten-point questions and 15 four-point questions

Explanation:

We will set up a system of equations to help us solve this question. Let x be ten-point questions and y be four-point questions.

A test has 19 questions;

x + y = 19

... worth a total 100 points;

10x + 4y = 100

Now, we will solve by graphing. See attached. The point of intersection is our solution, where the lines cross each other.

(4, 15), 4 ten-point questions and 15 four-point questions.