SOLUTION: A jar contains n nickels and d dimes. There are 22 coins in the jar, and the total value of the coins is $1.50. How many nickels and how many dimes are in the jar?

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Question 1015813: A jar contains n nickels and d dimes. There are 22 coins in the jar, and the total value of the coins is $1.50. How many nickels and how many dimes are in the jar?
Answer by ikleyn(52784)   (Show Source): You can put this solution on YOUR website!
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A jar contains n nickels and d dimes. There are 22 coins in the jar, and the total value of the coins is $1.50. How many nickels and how many dimes are in the jar?
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 n +   d =  22,   (1)
5n + 10d = 150.   (2)


From (1), n = 22-d.  Substitute it into (2):

5*(22-d) + 10d = 150.

110 - 5d + 10d = 150.

5d = 150 - 110 = 40.

d =  = 8, n = 22 - 8 = 14.


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