4) A test has twenty questions worth 100 points. The rest consists of True/Palue queres worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice and how many True/False questions are on the test? 109

15 true/false questions and 5 multiple choice questions

Steps:

Use a system of equations

Solve using the elimination method

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

Multiply the first equation by 3 to make the coefficients of x in both equations the same.

3(x+y=20)

3x+3y=60

Next subtract this equation from the second one.

3x+3y=60
- 3x+11y=100
————————
-8y=-40

Divide both sides by -8 to find the bailie of y.

y=5 So there were 5 multiple choice questions on the test.

Next, replace the y in either equation to solve for x.

x+(5)=20

Subtract 5 from both sides to find the value of x

x=15