Atest has twenty questions worth 100 points. the test consists of x true-false questions worth 4 points each and y multiple choice questions worth 8 points each. how many of each type of question are on the test?

Number of true-false questions  =15

Number of multiple choice questions  =5

Step-by-step explanation:

Number of true-false questions  =

Number of multiple choice questions  =

Total number of question =

Points for true-false questions = 4

Total points for true-false questions =

Points for multiple choice questions = 8

Total points for multiple choice questions =

Total points of the test =

We have 2 equations now:

(1)

(2)

We need to solve the 2 equations to find and .

Dividing equation 2 by 4.

(2a)

Multiplying equation (2a) with (-1)

(2b)

Adding equation (2a) with equation (1).

     [ Divided both sides by -1]

Substituting value of in equation (1).

Subtracting both sides by 5.

∴

Number of true-false questions  =15

Number of multiple choice questions  =5

20

step-by-step explanation:

no this is a nonlinear negative