• Money Problems
• Distance Problems
• Age Problems
Your piggy bank contains a total of 48 coins; some are dimes and some are nickels. If you have a total of \$3.20, how many nickels and how many dimes do you have?

Let n = number of nickels and d = number of dimes.

A passenger train leaves the train depot 2 hours after a freight train leaves the same depot. The freight train is traveling 25 mph slower than the passenger train. Find the rate of each train, if the passenger train overtakes the freight train in 2 hours.

Consider the following:
• At the point the passenger train overtakes the freight train, they will have travelled the same distance.
• The freight train is travelling 25 mph slower than the passenger train.
• If the passenger train leaves 2 hours after the freight train, and overtakes it in 2 hours, the freight train will have travelled 4 hours and the passenger train will have travelled 2 hours.

Michael and Danielle have a combined age of 30. Michael is 2 more than 3 times Danielle’s age. How old are Michael and Danielle?

Let m = Michael’s age and d = Danielle’s age