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

Accepted Solution

3-point problems are 12 and 4-point problems are 16.Step-by-step explanation:Let, 3-point problem = x4-point problem = yTotal points = 100Total problems = 28According to given statement;x+y=28 Β  Eqn 13x+4y=100 Β  Eqn 2Multiplying 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, multiplicationLearn more about linear equations at:brainly.com/question/8358304brainly.com/question/8540796#LearnwithBrainly