SOLUTION: A coin contains 60 coins, all dimes and quarters. The total amount is $11.40. How many quarters are there?

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Question 238216: A coin contains 60 coins, all dimes and quarters. The total amount is $11.40. How many quarters are there?
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
There is a typo here.
What do you mean a coin contains 60 coins?

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I got your reply.
When solving coin problems set up a table having number, value and total.
dimes = x
value of a dime = 10 cents
total = 10x
quarters = 60 - x
value of a quarter = 25 cents
total = 25(60 - x)

Our equation is:
10x + 25(60 - x) = 1140
NOTICE: I deleted all decimals by converting each into a whole number.
It's easier working with whole numbers than with decimals.
10x + 1500 - 25x = 1140
-15x = -1500 + 1140
-15x = -360
x = -360/-15
x = 24
Number of quarters = 60 - 24 or 36
Understand?