Answer: 9 essay questions
Step-by-step explanation:
The test has 26 questions
The test is worth 123 points
The test has two types of questions:
Multiple choice worth 3 points each
Essays worth 8 points each
Let the number of multiple choice questions be, m, and the number of essay questions be , e.
This forms a simultaneous equation below:
m + e = 26 ... (i)
3m + 8e = 123 ... (ii)
Multiplying (i) by 3 and (ii) by 1 we get:
3m + 3e = 78 ... (i)
3m + 8e = 123 ... (ii)
Subtracting (ii) - (i) we get;
0m + 5e = 45
5e = 45
e = 45 ÷ 5 = 9
So there are 9 essay questions.
and;
m + 9 = 26
m = 26 - 9 = 17
There are also 17 multiple choice questions.
