SOLUTION: Viva has a total of 59 coins all of which are either dime or nickels the total of the coin is 4.65 find the number of each type of coin

Question 1027411: Viva has a total of 59 coins all of which are either dime or nickels the total of the coin is 4.65 find the number of each type of coin
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the numbers of nickels and dimes, n and d. Then we have
n + d = 59 and the value equation is
5n + 10d = 465 (we will work in cents)
Now multiply the top equation by five and subtract...we get
5n + 10d = 465
-(5n + 5d = 295)
-------------------
5d = 170
d = 34 dimes and thus
n = 25 nickels
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