SOLUTION: A collection of coins consists of nickels, dimes, and quarters. there are 4 less nickels than dimes. There are 26 coins in total. The total value of the collection is $3.10. Fine t

Question 318136: A collection of coins consists of nickels, dimes, and quarters. there are 4 less nickels than dimes. There are 26 coins in total. The total value of the collection is $3.10. Fine the number of each type of coin.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let N be the number of nickels, D dimes, Q quarters.
.
.
"There are 26 coins in total."
1.
.
.
.
"there are 4 less nickels than dimes"
2.
.
.
.
"The total value of the collection is $3.10"
3.
Substitute eq. 2 into eq. 1 and eq. 3,

4.
.
.

5.
Multiply eq. 4 by (-25) and add to eq. 5.

Then,

and finally,

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