Question 363261
A girl has 65 coins that are either quarters or dimes. 
She has a total of $10.85. 
How many of each type of coin does she have?

Let x represent the number of dimes-		dimes: x
Then,						quarters: 65 – x
		dimes + quarters = $10.85

Dimes are worth 0.10 and quarters are worth 0.25.
Therefore, multiply x by 0.10 and (65-x) by 0.25 to
find out how much you have.
                        0.10x   + 0.25(65 – x) = 10.85 
		Combine like terms and solve for x.
                        0.10x + 16.25 - 0.25x = 10.85
		-0.15x + 16.25 = 10.85
                        -0.15x + 16.25 – 16.25 = 10.85 – 16.25
		-0.15x = -5.40
		  x = 36
dimes: x
quarters: 65 – x

There are 36 dimes and 65 – 36= 29 quarters!

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