A store in Quixajuba only sells items at prices of R $0.99, R$ 1.99, R$ 2.99, and so on. Uncle Mané made a purchase for a total of R $125.74. How many items could he have bought?
Initially observe that $\frac{125.74}{0.99}<128$, so Uncle Mané bought at most 127 items. Since the purchase made is 26 cents below an integer value, he bought either 26 items, or 126 items, or 226 items, etc. However, since he bought no more than 127 items, he could have bought 26 or 126, which are possible quantities to purchase. See the examples:

- 26 items: 25 items at R$0.99 and one at R$100.99.
- 126 items: 125 items at R$0.99 and one at R$1.99.