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Question 400460: A piggy bank contains 48 nickels and dime whose total is $4.50 how many coins are nickels??
Answer by unlockmath(1688)   (Show Source):
You can put this solution on YOUR website! Hello,
We can set up 2 equations (Let x be nickels and y be dimes)
x+y=48
.05x+.10y=$4.50
Let's do substitution and change the first equation as:
x=48-y
Now plug it in the second equation:
.05(48-y)+.10y=$4.50
Multiply this by 100 to remove the decimals:
5(48-y)+10y=450
rewrite this as:
240-5y+10y=450
Combine like terms, subtract 240:
5y=210
Divide by 5:
y=42 Dimes
we know there will be 6 nickels.
Make sense?
RJ
www.math-unlock.com
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