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Question 310514: in a child's coin bank, there is a collection of nickels, dimes, and quarters that amount to $3.20. There are 3 times as many quarters as nickels, and 5 more dimes that nickels. How many coins of each kind are there?
Solution: Count of coins
Let X = numbers of nickels
3x = the numbers of quarters
x + 5 = the numbers of dimes
Value of the count
.05x = value of the quarters
0.25(3x) = value of the quarters
0.10(x + 5) = value of the dimes
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! in a child's coin bank, there is a collection of nickels, dimes, and quarters that amount to $3.20. There are 3 times as many quarters as nickels, and 5 more dimes that nickels. How many coins of each kind are there?
Solution: Count of coins
.
Let x = numbers of nickels
3x = the numbers of quarters
x + 5 = the numbers of dimes
Value of the count
.05x = value of the quarters
0.25(3x) = value of the quarters
0.10(x + 5) = value of the dimes
..
You are on the right track
..
0.05x+0.75x+0.1x+0.5 = 3.20
0.90x= 3.20-0.50
0.90x = 2.70
Multiply by 100
90x = 270
x= 3. the number of nickels
3x = 9 the number of quarters
x+5 = 3+5 = 8 number of dimes
CHECK
3*5 + 9*25+8*10 = 320 cents
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