Solve Exercises 23-24 using the strategy of making a list or using a diagram.
23. A vending machine accepts nickels, dimes, and quarters. Exact change is needed to make a purchase. How many ways can a person with five nickels, three dimes, and two quarters make a 45-cent purchase from the machine?
24. How many ways can you make change for a quarter using only pennies, nickels, and dimes? Exercises 25-28 involve problems encountered in everyday life. For each of these problematic situations, write seven or more short solutions that might be effective in solving the problem.
25. You started college with your best friend.This semester, you and your friend are taking two classes together. How- ever, your friend frequently misses class and is not doing the necessary homework between classes to succeed. What can you say to your friend, who values your advice and who is in danger of flunking out of college, if things continue on their present course?
26. You started college with your best friend. This semester, you and your friend are taking two classes together. Your friend, who has a job and children, is failing both classes. What suggestions can you offer your friend to help pass the classes and succeed in college?
27. You have just started a job that you love and want to make a great impression with top management. You have been invited to go to an important evening party, and all of your top managers will be there. You have terrific so- cial skills, and you know that your wit and your charm