SOLUTION: You have 30 coins. You have nickels, twice as many dimes as nickels and quarters. You have $5.50 total. How many of each coin do you have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: You have 30 coins. You have nickels, twice as many dimes as nickels and quarters. You have $5.50 total. How many of each coin do you have?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 344080: You have 30 coins. You have nickels, twice as many dimes as nickels and quarters. You have $5.50 total. How many of each coin do you have?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.N%2BD%2BQ=30
2.D=2N
3.5N%2B10D%2B25Q=550
Substitute eq. 2 into eq. 1 and eq. 3.
N%2B2N%2BQ=30
4.3N%2BQ=30
.
.
.
5N%2B10%282N%29%2B25Q=550
5N%2B20N%2B25Q=550
25N%2B25Q=550
5.N%2BQ=22
From eq. 4,
2N%2B%28N%2BQ%29=30
Substitute from eq. 5,
2N%2B22=30
2N=8
highlight%28N=4%29
.
.
.
D=2N
D=2%284%29
highlight%28D=8%29
.
.
.
Then from eq. 1,
4%2B8%2BQ=30
highlight%28Q=18%29