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Molly has 18 coins, all dimes and nickels. The total value of the coins
is $1.05. How many of each type of coin does Molly have?

User CubeJockey
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Question

Molly has 18 coins, all dimes and nickels. The total value of the coins

is $1.05. How many of each type of coin does Molly have?


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15 nickels

3 dimes

Let d represent the number of dimes

Molly has. Then she has 18-d nickels, and

the total value (in cents) of her coins is ..

5(18-d) +10d = 105

5d +90 105.... simplify

5d 15...

. . subtract 90

d 3.. ... divide by 5; number of

dimes

18-d 15... . . number of nickels

Molly has 3 dimes and 15 nickels.

User Anil Gorthy
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8 votes

9514 1404 393

Answer:

  • 15 nickels
  • 3 dimes

Explanation:

Let d represent the number of dimes Molly has. Then she has 18-d nickels, and the total value (in cents) of her coins is ...

5(18 -d) +10d = 105

5d +90 = 105 . . . . . . simplify

5d = 15 . . . . . . . . . . . subtract 90

d = 3 . . . . . . . . divide by 5; number of dimes

18-d = 15 . . . . . number of nickels

Molly has 3 dimes and 15 nickels.

User Danialk
by
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