Final answer:
Intuition aids in adding and subtracting fractions by applying the basic principle of finding a common denominator, similar to aligning digits in whole numbers. For Devin's scenario, additional information on costs and balances is needed. Alphonso's budget constraints illustrate a basic trade-off between burgers and bus tickets.
Step-by-step explanation:
Intuition can play a significant role in the process of adding and subtracting fractions. One basic principle we use is finding a common denominator before performing the addition or subtraction. This is similar to when we pay attention to aligning digits by their place values when working with whole numbers.
In the given question, to determine if Devin can purchase dinner rolls and cinnamon bread and what his credit card balance would be, we need more information about the cost of these items and the current balance on his credit card. Without these details, we cannot accurately choose a true statement from the provided options.
As for Alphonso's situation, intuition helps us understand that spending all his money on one option means he cannot afford the other. For instance, if he allocates his $10 entirely to burgers, priced at $2 each, he can get 5 burgers and no bus tickets, as shown at point A. Conversely, spending all on bus tickets at $0.50 each means he can buy 20 tickets but no burgers, as depicted at point F.