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.

Algebra ->  Customizable Word Problem Solvers  -> Finance -> 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.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (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
..
.25x%2B.50%28x%2F3%2B2%29%2B.05%284x%2F3%29=3.90
.25x%2B.50x%2F3%2B1%2B.2x%2F3%29=3.90
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.