SOLUTION: A purse contained $3.90 in nickels, quaerters and half-dollars. the number of half-dollars exceeded 1/3 of the number of quarters by 2. There were 3/4 as many quarters as nickels.

Question 837169: A purse contained $3.90 in nickels, quaerters and half-dollars. the number of half-dollars exceeded 1/3 of the number of quarters by 2. There were 3/4 as many quarters as nickels. How many pieces of each kind of coin were in the purse?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A purse contained $3.90 in nickels, quaerters and half-dollars. the number of half-dollars exceeded 1/3 of the number of quarters by 2. There were 3/4 as many quarters as nickels. How many pieces of each kind of coin were in the purse?
***
let x=number of quarters
(x/3)+2=number of half-dollars
4x/3=number of nickels
..

LCD:3
.75x+.5x+3+.2x=11.7
1.45x=8.7
x=6
(x/3)+2=4
4x/3=8
...
number of quarters=6
number of half-dollars=4
number of nickels=8
..
note: This is a revision to a previous solution, changing the LCD from 12 to 3. No change to the answer.

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