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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Janice wants to create a test containing 20 questions worth 50 points. If Janice creates questions worth either two points or four points, she can include___two-point questions and___four-point questions.

Type the correct answer in each box Use numerals instead of words If necessary use for the fraction bars Janice wants to create a test containing 20 questions w class=

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Answer:

15 two-point questions, 5 four-point questions.

Step-by-step explanation:

Let x be two-point questions and y be four-point questions. We know that there are 20 questions so the number of two-point questions plus the number of four-point questions equals 20. So x + y = 20. We also know that the total number of points is 50, so 2x + 4y = 50.

Solving the system:

1) x + y = 20

2) 2x + 4y = 50

isolate x in 1) to get x = 20-y, then plug into 2) to get 2(20-y) + 4y = 50 and simplify to get 2y=10 so y = 5, meaning there are 5 four-point questions. Plug y = 5 into either equation to get x = 15 so there are 15 two-point questions.

shubhamchouhanvrVT

There are 15 two-point questions and 5 four-point questions.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Let x be two-point questions and y be four-point questions. We know that there are 20 questions so the number of two-point questions plus the number of four-point questions equals 20. So x + y = 20. We also know that the total number of points is 50, so 2x + 4y = 50.

Solving the system:

1) x + y = 20

2) 2x + 4y = 50

Isolate x in 1) to get x = 20-y, then plug into 2)

2(20-y) + 4y = 50

2y=10  

y = 5,

It means that there are 5 four-point questions. Plug y = 5 into either equation to get x = 15 so there are 15 two-point questions.

x + y = 20

x + 5 = 20

x = 15

Hence, there are 15 two-point questions and 5 four-point questions.

To know more about expression follow

https://brainly.com/question/723406

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