Jessica has 48 coins, some of them are nickels and some are dimes. how many of each does she have if she has $3.25 total?
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Step-by-step explanation:

Let d represent the number of dimes Jessica has. Then 48-d is the number of nickels. Her total amount is ...

  0.05(48 -d) + 0.10(d) = 3.25

  2.40 +0.05d = 3.25

  0.05d = 0.85

  d = 17 . . . . . . . . . . divide by 0.05

  48 -d = 31 . . . . . . number of nickels

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Check

  31 nickels and 17 dimes will have a value of $1.55 +1.70 = $3.25 (as required)