1963 TMTA High School Algebra I Contest Problem 29
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Problem
A mechanic agreed to work for 
days at 
for each day that he worked, forfeiting 
for each day that he was idle. At the end of the days he received 
How many days had he worked?
Solution
Suppose the mechanic worked for 
days. He earns 
dollars for each day he works and loses 
dollars for each day he is idle, so we can write the equation:
![\[10x + 5(12-x) = 75.\]](http://latex.artofproblemsolving.com/c/8/c/c8c27cef28733e57f4602640aaf652a212740af7.png)
Solving yields 
See Also
| 1963 TMTA High School Mathematics Contests (Problems) | ||
| Preceded by Problem 28 |
TMTA High School Mathematics Contest Past Problems/Solutions | Followed by Problem 30 |
