# Difference between revisions of "1984 AIME Problems/Problem 10"

I_like_pie (talk | contribs) |
|||

Line 1: | Line 1: | ||

− | |||

== Problem == | == Problem == | ||

+ | Mary told John her score on the American High School Mathematics Examination (AHSME), which was over <math>\displaystyle 80</math>. From this, John was able to determine the number of problems Mary solved correctly. If Mary's score had been any lower, but still over <math>\displaystyle 80</math>, John could not have determined this. What was Mary's score? (Recall that the AHSME consists of <math>\displaystyle 30</math> multiple choice problems and that one's score, <math>\displaystyle s</math>, is computed by the formula <math>\displaystyle s=30+4c-w</math>, where <math>\displaystyle c</math> is the number of correct answers and <math>\displaystyle w</math> is the number of wrong answers. Students are not penalized for problems left unanswered.) | ||

+ | |||

== Solution == | == Solution == | ||

{{solution}} | {{solution}} |

## Revision as of 01:18, 21 January 2007

## Problem

Mary told John her score on the American High School Mathematics Examination (AHSME), which was over . From this, John was able to determine the number of problems Mary solved correctly. If Mary's score had been any lower, but still over , John could not have determined this. What was Mary's score? (Recall that the AHSME consists of multiple choice problems and that one's score, , is computed by the formula , where is the number of correct answers and is the number of wrong answers. Students are not penalized for problems left unanswered.)

## Solution

*This problem needs a solution. If you have a solution for it, please help us out by adding it.*