Question

A college entry exam has 38 questions worth 200 points. The test consists of multiple-choice questions, x, worth 4 points each and essay questions, y, worth 10 points each. Which system of equations can be solved to find the number of multiple-choice questions on the test?

Answer 1

Let's use the variables x and y to represent the number of multiple-choice and essay questions on the test, respectively.

The total number of questions is 38, so we can write:

x + y = 38

The total number of points is 200, so we can write:

4x + 10y = 200

This gives us a system of equations:

x + y = 38

4x + 10y = 200

We can solve this system of equations to find the number of multiple-choice questions on the test.

Answer 2

A system of equations is a set of equations to be solved by elimination or substitution.

There are no options listed in the question to choose from, but the equations should look like the following:

x= # multiple choice questions
y= # essay questions

QUANTITY EQUATION:
x + y= 38

VALUE EQUATION:
4x + 10y= 200

If we solved these two equations by elimination or substitution, we would find the number of multiple choice (x) and the number of essay (y) questions on the test.


ANSWER: x + y= 38; 4x + 10y= 200

Hope this helps! :)