Answer:
There are 23 5-point questions and 17 1-point questions.
Step-by-step explanation:
there are M 5 point questions
And N 1 point questions
M + N = 40
A 40 question test has 132 possible points
5M + N = 132
We have a system of equations.
M + N = 40
5M + N = 132
Multiply both sides of the first equation by -1. Write the second equation below it. Add the equations.
-M - N = -40
+ 5M + N = 132
----------------------------
4M = 92
M = 23
Now substitute 23 for M in the first equation and solve for N.
M + N = 40
23 + N = 40
N = 17
There are 23 5-point questions and 17 1-point questions.
Answer:the number of 5 point questions is 23
the number of 1 point questions is 17
Step-by-step explanation:
Let M represent the number of 5 point questions.
Let N represent the number of 1 point questions.
The total number of questions in the test is 40. It means that
M + N = 40 - - - - - - - - - - - - 1
The possible total points in the test is 132 and it contains M 5 point questions and N 1 point questions. This means that
5M + N = 132 - - - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
- 4M = - 92
M = - 92/-4 = 23
Substituting M = 23 into equation 1, it becomes
23 + N = 40
N = 40 - 23 = 17
