Final answer:
Kathleen's total profit from selling 1902 jars of jam at $12 profit each is $22,824, which is more than enough to purchase the ivory 5k piano if it costs $12,000.
Step-by-step explanation:
Profit Calculation for Kathleen's Jam Sales
Kathleen sold 1902 jars of jam and made a $12 profit on each one. To calculate her total profit, we multiply the number of jars sold by the profit per jar: 1902 jars × $12/jar. This gives a total profit of $22,824. Since Kathleen wants to use this profit to purchase an ivory 5k piano, and she has correctly observed that since her profits are greater than $12,000, she can indeed buy the piano, presuming it costs $12,000 as in her calculation, or even if it costs exactly $22,824, as she has sufficient funds.