Question 700773: Beth has some coins in her purse. She does not have a silver dollar. What is the most change she could have if she can't make change for a nickel, dime, quarter, half dollar or dollar?
Answer by neatmath(302)   (Show Source):
You can put this solution on YOUR website!
This is an interesting problem, and there are probably several ways to solve this:
If she can't make change for a Nickel, she has at most 4 Pennies.
If she can't make change for a Dime, she has at most 1 Nickel (or 9 Pennies, but we know she can only have 4 Pennies).
If she can't make change for a Quarter, she has at most 1 Dime.
If she can't make change for a Half-Dollar, she has at most 1 Quarter.
If she can't make change for a Dollar, she has at most 1 Half-Dollar.
By my reckoning, she then can have at most:
8 coins totalling 94 cents
Her whole change dilemma is due to the one missing Penny!
You also could have started with the Dollar and gone backwards, I do believe.
I hope this helps! Keep practicing! :)
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