10. A school uses a sum of money to buy balls. If it only buys volleyballs, it can buy exactly 15. If it only buys basketballs, it can buy exactly 12. Now, using this money, it buys a total of 14 volleyballs and basketballs. The number of volleyballs and basketballs bought differs by only a few.
【Answer】6
【Key Point】Chicken and Rabbit in the Same Cage
【Analysis】
Since $[15,12]=60$, we can assume that the amount of money is 60,
then the price of a volleyball is $60 \div 15=4$, and the price of a basketball is $60 \div 12=5$; now, using this money to buy 14 balls, the number of basketballs is $(60-4 \times 14) \div(5-4)=4$, and the number of volleyballs is $14-4=10$, so the difference between the number of volleyballs and basketballs is $10-4=6$.