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Daniel has 40 coins that are either Nickels or Dimes. The total Value of the coins is $2.85. How many of each coin does Daniel have? 

The answer is 17 dimes & 23 nickels. Show work

 May 19, 2021
 #1
avatar+177 
+1

Let the number of nickels be x, and the number of dimes be y. Then, we can set up two equations.

 

\(x+y=40, 0.05x+0.10y=2.85. \)

 

We can then multiply both sides of the second equation by 20 to get \(x+2y=57\) so \(y=17, x=23.\)

 

So, the answer is that there are 17 dimes, 23 nickels

 May 19, 2021
 #2
avatar+34340 
+1

40 coins

 

nickles = n          value = 5 n

dimes = (40-n)    value = 10 (40 -n)        summed = 285

 

5n    + 10 (40-n) = 285      solve for   n          then    d = 40 -n

 May 19, 2021

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