SOLUTION: I have 30 coins, all nickels, dimes, and quarters worth $4.60. There are three times as many quarters as nickels and two more dimes than quarters. How many of each kind of coin d

Question 31487: I have 30 coins, all nickels, dimes, and quarters worth $4.60. There are three times as many quarters as nickels and two more dimes than quarters. How many of each kind of coin do I have?
Answer by Cintchr(481) (Show Source): You can put this solution on YOUR website!
1. I have 30 coins, all nickels, dimes, and quarters
2. three times as many quarters as nickels
3. two more dimes than quarters
4. nickels, dimes, and quarters worth $4.60.
Take the 2nd and third equations and substitute them into the first.
combine like terms

multiply both sides by 3/7

Plug this into the second and third equations
snd
and
plug the value of Q, N and D into the first equation

TRUE!!
Now plug all three into the 4th equation

Multiply
add
TRUE
Q = 12
D = 14
N = 4

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