SOLUTION: a collection of 33 coins, consisting of nickels, dimes, and quarter, has a value of $3.30. if there are three times as many nickels as quarters, and one-half as many dimes as nicke

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Question 771193: a collection of 33 coins, consisting of nickels, dimes, and quarter, has a value of $3.30. if there are three times as many nickels as quarters, and one-half as many dimes as nickels, how many coins of each kind are there?
Answer by lwsshak3(11628) About Me  (Show Source):
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a collection of 33 coins, consisting of nickels, dimes, and quarter, has a value of $3.30. if there are three times as many nickels as quarters, and one-half as many dimes as nickels, how many coins of each kind are there?
***
let x=number of quarters
3x=number of nickels
3x/2=number of dimes
..
.25x+.05*3x+3x/2*.10=3.30
.25x+.15x+.30x/2=3.30
.50x+.30x+.30x=6.60
1.10x=6.60
x=6
..
number of quarters=6
number of nickels=18
number of dimes=9