Question

Your teacher is giving a test worth 100 points containing 40 questions. There are two point and four point questions on the tes. How many of each type of question are on the test?

Answer 1

Answer:

This shall be you answer2 points and y = questions with 4 points;

We solve the equation: x + y = 40 and 2x + 4y = 100;

Then, x = 40 - y;

2( 40 - y ) + 4y = 100;

80 - 2y + 4y = 100;

80 + 2y = 100;

2y = 20;

y = 10;

x = 40 - 10;

x = 30;

Step-by-step explanation:

Answer 2

Let x = questions with 2 points and y = questions with 4 points;
We solve the equation: x + y = 40 and 2x + 4y = 100;
Then, x = 40 - y;
2( 40 - y ) + 4y = 100;
80 - 2y + 4y = 100;
80 + 2y = 100;
2y = 20;
y = 10;
x = 40 - 10;
x = 30;