SOLUTION: Twenty-five coins, a combination of dimes and quarters, are worth $4.75. How many coins are dimes? How many are quarters?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Twenty-five coins, a combination of dimes and quarters, are worth $4.75. How many coins are dimes? How many are quarters?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 342225: Twenty-five coins, a combination of dimes and quarters, are worth $4.75. How many coins are dimes? How many are quarters?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Total number of coins
1.D%2BQ=25
Total value of coins
10D%2B25Q=475
2.2D%2B5Q=95
From eq. 1,
D=25-Q
Substitute into eq. 2,
2%2825-Q%29%2B5Q=95
50-2Q%2B5Q=95
3Q=45
highlight%28Q=15%29
Then from eq. 1,
D%2B15=25
highlight%28D=10%29
There are 10 dimes and 15 quarters.