SOLUTION: Beth has 24 coins worth $2.80. Her coins are nickels,dimes, and quaters.The number of dimes equals the sum of the number of quaters and nickels. How many dimes does she have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Beth has 24 coins worth $2.80. Her coins are nickels,dimes, and quaters.The number of dimes equals the sum of the number of quaters and nickels. How many dimes does she have?       Log On

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Question 431023: Beth has 24 coins worth $2.80. Her coins are nickels,dimes, and quaters.The number of dimes equals the sum of the number of quaters and nickels. How many dimes does she have?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
n+d+q=24
n+(d+q)+q=24
2n+2q=24
5n+10d+25q=280
5n+10(n+q)+25q=280
5n+10n+10q+25q=280
15n+35q=280
30n+30q=360
30n+70q=560
40q=200
q=5
n=7
d=12
Beth has 7 nickels, 12 dimes, and 5 quarters..