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Shawn has 25 coins, all nickels and dimes. The total value is $2.00. How many of each coin does he have?

2 Answers

5 votes

Answer:

D=15 so N=10

Explanation:

N+D=25 where the coins make up the number of nickels, N and the number of dimes, N

Now each nickel is worth .05 (not .5)

Each time is worth .10 or .1

So the two equations are .05N+.1D=2 and N+D=25

I'm going to multiply 100 on both sides so I can clear the decimals from first equation giving me 5N+10D=200.

So I'm going to multiply the second by 5 giving my 5N+5D=125

Line up equations and you should see we can solve this system by elmination by subtracting the equations

5N+10D=200

5N+5D=125

------------------

5D=75

D=75/5=15

So N+D=25 and D=15 so N=10.

User Lionel Parreaux
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5.0k points
4 votes
15 dimes and 10 nickels
User Xinit
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5.3k points