~~you have 2 pennies, 3 nickels, 1 dime and 2 quarters. how many different sums of money can you make using one or more of these 8 coins
in Word Problem Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

If we add up all the coins we get 77 cents (2+15+10+50). There are several ways of making up some of the sums of money using different coins, so we must be careful not to duplicate these sums. We know that we can't exceed 77 cents, so there can be no more than 77 amounts of money, even if we can combine different coins to arrive at the same amount in some cases. Are there any sums we can't make up?

We can't make up 3c or 4c because we only have 2 pennies. We can't make up 8c or 9c, 13c or 14c, 18c or 19c, 23c or 24c, 28c or 29c, 33c or 34c, 38c or 39c, 43c or 44c, 48c or 49c, 53c or 54c, 58c or 59c, 63c or 64c, 68c or 69c, or 73c or 74c for the same reason. If we exclude these amounts we have 77-28=49.

 

by Top Rated User (884k points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
86,810 questions
93,393 answers
2,336 comments
24,169 users