Answer:
Test contains 15 multiple choice and 5 essay .
Option (B) is correct .
Explanation:
Let us assume that the multiple choice questions be x.
Let us assume that the essay questions be y.
As given
A test worth a total of 100 points contains multiple choice questions worth 3 points each and essay questions worth 11 points each.
Than the equations becomes
3x + 11y = 100
There are 20 questions on the test.
Than the equations becomes
x + y = 20
The two equations are
3x + 11y = 100 and x + y = 20
Multiply x + y = 20 by 3 and subtracted from 3x + 11y = 100
3x - 3x + 11y - 3y = 100 - 60
8y = 40
y = 5
put in the equation x + y = 20
x + 5 = 20
x = 20 - 5
x = 15
Therefore test contains 15 multiple choice and 5 essay .