SOLUTION: A collection of nickels and dimes total $4.05. There are 53 coins in the collection. How many nickels are there?

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Question 516741: A collection of nickels and dimes total $4.05. There are 53 coins in the collection. How many nickels are there?
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
Let
Dimes=x
Nickels=53-x
10*x+5*(53-x)=4.05*100
10x+265-5x=405
5x=405-265
5x=140
5x/5=140/5
x=28
Dimes=x=28
Nickels=53-x=53-28=25
Check
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28 Dimes and 25 Nickels
=28*10+25*5
=280+125
=405 cents
=405/100
=4.05 Dollars