Question

A test worth a total of 100 points contains multiple choice questions worth 3 points each and essay questions worth 11 points each. There are 20 questions on the test. Use the graphing method to determine how many questions there are of each type.

A) 3 essay and 17 multiple choice
B) 5 essay and 15 multiple choice
C) 6 essay and 14 multiple choice
D) 10 essay and 10 multiple choice

Answer 1

x = multiple choice and y = essay

x + y = 20.....x = 20 - y
3x + 11y = 100

3(20 - y) + 11y = 100
60 - 3y + 11y = 100
-3y + 11y = 100 - 60
8y = 40
y = 40/8
y = 5 <=== 5 essay questions

x = 20 - y
x = 20 - 5
x = 15 <== 15 multiply choice