SOLUTION: There are 24 questions on a test. Each question is worth either 4 points or 5 points. The total is 100 points.
a. Write a system of equations to find the number of each type of
Algebra ->
Customizable Word Problem Solvers
-> Evaluation
-> SOLUTION: There are 24 questions on a test. Each question is worth either 4 points or 5 points. The total is 100 points.
a. Write a system of equations to find the number of each type of
Log On
Question 253559: There are 24 questions on a test. Each question is worth either 4 points or 5 points. The total is 100 points.
a. Write a system of equations to find the number of each type of question.
b. Solve the system by substitution.
How many questions of each type are on the test?
You can put this solution on YOUR website! x+y=24 or x=24-y
4x+5y=100
Now replace x with (24-y) i the second equation & solve for y.
4(24-y)+5y=100
96-4y+5y=100
y=100-96
y=4 questions worth 5 points each.
24-4=20 questions worth 4 points each.
Proof:
4*20+5*4=100
80+20=100
100=100
(