Answered

a test worth 100 points and having 28 problems.is broken down into 3-point problems and 4-point problems. how many of each type of problem will be on the test

Answer :

absor201

3-point problems are 12 and 4-point problems are 16.

Step-by-step explanation:

Let,

3-point problem = x

4-point problem = y

Total points = 100

Total problems = 28

According to given statement;

x+y=28   Eqn 1

3x+4y=100   Eqn 2

Multiplying Eqn 1 by 3

[tex]3(x+y=28)\\3x+3y=84\ \ \ Eqn 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](3x+4y)-(3x+3y)=100-84\\3x+4y-3x-3y=16\\y=16\\[/tex]

Putting y=16 in Eqn 1

[tex]x+16=28\\x=28-16\\x=12[/tex]

3-point problems are 12 and 4-point problems are 16.

Keywords: Linear equations, multiplication

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jolycealissa

Answer:

3-point problems are 12 questions and 4-point problems are 16 questions

Step-by-step explanation:

X + y =28

3x + 4y = 100            3x + 4y =100

3(x + y = 28)             3x + 3y = 84

3x + 3y = 84               1y= 16 (y =16)

Plug in y and solve

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