**Problem:**

Number Concepts-Integers (**InterMath**)
**A man was hired to work for $3 a day, but on condition
that for every day he was idle he should forfeit $1.50.**
**By the time he was paid, he had more idle days than
working days.**
**How many total days were accounted for in his $33
salary?**

**Solution:**
$3 = work day x = number of work days

$1.50 = idle day y = number of idle days

$33 = total pay

3x - 1.50 y = 33
**Using the guess and check method and the equation
above,**
**I found that the number of working days could be
25 and the number of idle days could be 28, for a total of 53
days.**
**However, he can be idle for an even number of days
over 26.**
**It must be even because he works whole days, not
parts of days. An odd number of days would give you a remainder,
which indicates parts of days.**

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