## The history test has 19 questions. There are true or false questions worth 4 points each and multiple-choice questions worth 6 p

Question

The history test has 19 questions. There are

true or false questions worth 4 points each

and multiple-choice questions worth 6 points

each. How many multiple-choice questions

are on the 100 point test?

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Math
3 months
2021-10-08T15:20:30+00:00
2021-10-08T15:20:30+00:00 2 Answers
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## Answers ( )

Answer:Step-by-step explanation:Let x be the number of true or false questions.

Let y be the number of multiple choice questions

Total questions = 19

x + y = 19 —————(i)

Total points = 100

4x + 6y = 100 —————(ii)

Multiply equation (i) by (-4).

(i)*(-4) -4x – 4y = -76

(ii)

4x + 6y = 100{Now add. thus x will get eliminated}2y = 24

y = 24/2

y= 12

There were 12 multiple choice questionAnswer:12 multiple choice questions

Step-by-step explanation:The system of equations is:

m + t = 19 (quantity of questions)

6m + 4t = 100 (point value)

We use elimination to solve.

Multiply everything in the first equation by 4.

4m + 4t = 76.

subtract that from the second equation.

2m = 24

Divide both sides by 2.

m = 12