How many problems must a student get right to score 100 on a 120 question test if the teacher gives one point for each correct answer
but subtracts 1/4 point for each wrong answer?
You must show algebra to get credit beginning with LET x = ..., then setting up an equation and solving it.
Solution to the Problem:
The answer is 104 questions.Let x = number of incorrect answers.
Then 120 - x = number of right answers
(120 - x) - 1/4x = 100
20 = 5/4 x
x = 16 wrong answers, so
120 - x = 104 right answers.
Correctly solved by:
| 1. Ivy Joseph | Pune, Maharashtra, India |
| 2. James Alarie | Flint, Michigan |
| 3. Brijesh Dave | Mumbai City, Maharashtra, India |
| 4. Bernice Rosales |
Delta High School, Delta, Colorado |
| 5. Kelly Stubblefield | Mobile, Alabama |
| 6. Anna T. Vice |
Landon School, Bethesda, Maryland |
| 7. Emre Karabiyik |
Hacettepe University, Ankara, Turkey |
| 8. Jason Jones | Colorado Springs, Colorado |