Diane has $1.40 in dimes and nickels. She has a total of 16 coins. How many of each kind does she have? 9
X nickels
13
X dimes

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Step-by-step explanation:

Let d represent the number of dimes. Then 16-d is the number of nickels, and the total value is ...

  0.10d +0.05(16 -d) = 1.40

  0.05d + 0.80 = 1.40 . . . . . . . eliminate parentheses

  0.05d = 0.60 . . . . . . . . subtract 0.80

  d = 12 . . . . . . . .dimes

  (16 -d) = 4 . . . . nickels

Diane has 12 dimes and 4 nickels.

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