SOLUTION: Juan has 16 coins, all nickels and dimes. This collection of coins is worth $1.15. How many nickels and dimes are there?

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Question 178042: Juan has 16 coins, all nickels and dimes. This collection of coins is worth $1.15. How many nickels and dimes are there?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let n= the number of nickels
Let d= the number of dimes
given:
(1) n+%2B+d+=+16
(2) 5n+%2B+10d+=+115
and, from (1)
d+=+16+-+n
5n+%2B+10%2A%2816+-+n%29+=+115
5n+%2B+160+-+10n+=+115
-5n+=+-45
n+=+9
d+=+16+-+n
d+=+16+-+9
d+=+7
Juan has 9 nickels and 7 dimes
check:
(2) 5n+%2B+10d+=+115
5%2A9+%2B+10%2A7+=+115
45+%2B+70+=+115
115+=+115
OK