Question

A test has twenty four questions and is worth a total of 100 points. The test consists of true/false questions worth 4 points each and multiple choice questions worth 5 points each. How many true/false questions are on the test ?

Answer 1

There are 20 true/false questions on the test.

Step-by-step explanation:

The test consists of true/false questions worth 4 points each and multiple-choice questions worth 5 points each.

Let's assume there are 'x' true/false questions on the test.

Hence, the total number of questions on the test is 'x + (24 - x)' = 24.

The point value for the true/false questions is 4 and for the multiple-choice questions is 5.

We can create the equation: 4x + 5(24 - x) = 100.

Simplifying the equation, we get: 4x + 120 - 5x = 100.

Combining like terms, we get: -x = -20.

Dividing both sides by -1, we get: 'x = 20'.

Therefore, there are 20 true/false questions on the test.