SOLUTION: 1/3 of the coins are nickels, 4/9 are dimes. i have only dimes, nickels and silver dollars.total 5.10/ how many of each coin do i have?

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Question 278886: 1/3 of the coins are nickels, 4/9 are dimes. i have only dimes, nickels and silver dollars.total 5.10/ how many of each coin do i have?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.05(1x/3)+.10(4x/9)+1(2x/9)=5.10
.05x/3+.4x/9+2x/9=5.10
(.05x*3+.4x+2x)/9=5.10
(.15x+2.4x)/9=5.10 cross multiply
2.55x=5.10*9
2.55x=45.90
x=45.90/2.55
x=18 ans. for the total number of coins.
Nickels=1/3*18=6 ans.
Dimes=4/9*18=8 ans.
Dollars=2/9*18=4 ans.
Proof:
.05*6+.10*8+1*4=5.10
5.10=5.10
.30+.80+4=5.10