Question

3. A test has 20 questions worth 100 points total. The test consists of True/False questions worth 4 points each and multiple choice questions worth 8 points each

C. Solve the system to determine how many questions of each type there are on the test. You may use any method, but you must show your work.

Answer 1

x+y=20

4x+8y=100

x=-2y+25

x=-y+20

-2y+25=-y+20

-y=-5

y=5

x=15

There are 15 true/false questions and 5 multiple choice questions

Answer 2

x+y=20
4x+8y=100
x=-2y+25
x=-y+20
-2y+25=-y+20
-y=-5
y=5
x=15
There are 15 true/false questions and 5 multiple choice questions