Rita has a collection of 96 coins consisting of nickels, dimes, and quarters. The number of dimes is 2 more than one third the number of nickels, and the number of quarters is twice the number of dimes. Her friend Robin has a collection of her own 98 coins, with 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each kind Rita has in her collection and how many coins of each kind Robin has in her collection?

Question

Mathematics

Jamie Jones

11 May, 07:48

Rita has a collection of 96 coins consisting of nickels, dimes, and quarters. The number of dimes is 2 more than one third the number of nickels, and the number of quarters is twice the number of dimes. Her friend Robin has a collection of her own 98 coins, with 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each kind Rita has in her collection and how many coins of each kind Robin has in her collection?

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Answers (1)

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Garrett Nichols · Answer 1

I used a matrix equation to solve this, but I got decimal answers. I may have done something wrong, but here is what I got.

Rita has 32 nickels, 21&1/3 dimes, and 42&2/3 quarters.

Robin would have 17 nickels, 27 dimes, and 54 quarters.