SOLUTION: The multiple-choice questions on a test are worth 2 points each, and the short-answer questions are worth 5 points each. AIf the whole test is worth 100 points and has 35 questio

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The multiple-choice questions on a test are worth 2 points each, and the short-answer questions are worth 5 points each. AIf the whole test is worth 100 points and has 35 questio      Log On


   

Question 1132752: The multiple-choice questions on a test are worth 2 points each, and the short-answer questions are worth 5
points each.
AIf the whole test is worth 100 points and has 35 questions, how many of the questions are multiple-choice
and how many are short-answer?
b. If Kwan gets 31 questions right and ends up with a score of 86 on the test, how many questions of each
type did she get right? (Assume there is no partial credit.)
c. If Ashok gets 5 questions wrong and ends up with a score of 87 on the test, how many questions of each
type did he get wrong? (Careful!)
d. What are two ways you could have set up the equations for part c?
e. How could you have set up part b differently?
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
a) #multiple choice =m #short answer =s system%282m%2B5s=100%2Cm%2Bs=35%29 system%282m%2B5s=100%2C2m%2B2s=70%29 3s=30 highlight%28s=10%29 highlight%28m=20%29
b) system%282m%2B5s=86%2Cm%2Bs=31%29
system%282m%2B5s=86%2C2m%2B2s=62%29
3s=24
highlight%28s=8%29 23 multiple-choice questions and 8 short-answer questions correct.
Try to use the same method to solve the other parts.