Bill can buy jags, jigs and jogs for $1, $2, and $7 each, respectively. What is the largest number of jogs he can purchase if he must buy at least one of each item and will spend exactly $50?
Since Bill buys at least one of each item, he has to spend at least 1+2+7=10 dollars. He has 40 dollars left to spend on jogs, so he can buy 5 more jogs (5x7=35) without going over budget. The remaining 5 dollars can be filled by buying jags.
The maximum number of jogs Bill can buy is 6.