A test has thirty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 8 points each. How many multiple choice questions are on the test?

Respuesta :

Answer:

2 multiple choice problems

Step-by-step explanation:

the equations will be...

x=true/false questions

y=multiple choice problems

x+y=30

3x+8y=100

5y=10

y=2

An equation is formed of two equal expressions. The number of multiple-choice questions in the test is 2.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.


The number of true/false question be represented by x, while the number of multiple-choice question be represented by y. Therefore, the total number of questions can be written as,

x + y = 30

solving for y,

y = 30 - x

Now, for the total points in the test, we can write,

3x + 8y = 100

3x + 8(30-x) =  100

3x + 240 - 8x = 100

-5x = -140

x = 28

Substitute the value of x in the first equation, we will get,

x + y = 30

28 + y = 30

y = 2

Hence, the number of multiple-choice questions in the test is 2.

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