Answer:
There are 33 multiple choice questions and 9 short answer questions on the test
Step-by-step explanation:
In this question, we are asked to calculate the number of multiple text answers and short answers given in a test, given that the test taker will attempt a number of questions and have a particular score.
Since we do not know the number of these questions individually, let’s represent them with variables. Let the number of multiple choice questions to be answered be x and the number of short answers questions to be given be y.
Mathematically,
x + y = 42. (I)
Also, the total points is 60, with multiple choice of 1 point each and short answers of 3 points each. Mathematically, this means;
x(1) + y(3) = 60.
x + 3y = 60. (ii)
Now let’s solve both 1 and 2 simultaneously.
From 1, let’s say y = 42-x and substitute this in 2
x +3(42-x) = 60
x + 126 -3x = 60
-2x = 60-126
2x = 66
x = 66/2
x = 33
From y = 42-x, we can substitute the value of x and get y.
y = 42-33
y = 9
