Melody has two coins that equal 15 cents. What are the two coins if one of them is not a nickel?

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gbeatty's profile pic

gbeatty | College Teacher | (Level 1) Educator Emeritus

Posted on

Melody has two coins that equal 15 cents. What are the two coins if one of them is not a nickel?

This really is a word problem. That is to say, it is a trick problem. One of the coins is not a nickel…but the other one is. The first coin is a dime, and the second coin is a nickel. (It's a question about paying attention to wording, and to the rules of logic, not a math problem really.)

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cburr | Middle School Teacher | (Level 2) Associate Educator

Posted on

I need to start with some assumptions here.

First, I'm assuming that this is U.S. coins, not Euros, etc.

Second, I'm assuming that we are talking about the face value of the coins, not their value to collectors. Thus, a penny is worth one cent -- even if it is an old and rare penny and so worth more than one cent to collectors.

If both those assumptions are correct, then you can't get there from here. There are no two US coins that add up to 15 cents other than one dime and one nickel. Of course, you could have a dime and 5 pennies, but that would be six coins.

My guess is that there is some trick that involves a quarter, a dime and subtraction. For example, if Melody owed someone 15 cents so she gave them a quarter and they gave her a dime in change. The exchange of the two coins would equal her 15 cent debt.

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jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

Melody has two coins that equal 15 cents. What are the two coins if one of them is not a nickel?

This actually is need an actual math problem , but more of a logic one . If you look at the way the question is worded , you'll be able to know that the answer is 1 dime and 1 nickel . There is still a nickel because in the question it says what are the two coins if one of them is not a nickel . That means that one of the two is not a nickel , but the other one is a nickel . 

So your answer is  that Melody has 1 dime and 1 nickel 

nisarg's profile pic

nisarg | Student, Grade 11 | (Level 1) Valedictorian

Posted on

one of them is not a nickel but the other one is :) so she has a nickel and a dime

meneses's profile pic

meneses | Student, Grade 11 | (Level 1) eNoter

Posted on

Well this is very simple... She's got a nickel and a dime, because the coin that is not nickel, is the dime. Very simple. The trick in this question is make you think that you can't have a nickel as a coin, but the question says "One of them is not a nickel;" therefore, you can assume that the coin that is not a nickel is the dime.

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