<PRE><B>Question 918257</B>
We are told that a collection of dimes(x) and nickels(y) equals 132 coins in all.
The algebraic equation for that would be 

x + y = 132   (1)

We are also told that all the coins add up to $9.50. The algebraic equation for that would be

0.10 x + 0.05 y = 9.50   (2)
Now we will multiply the above equation by 100 to get rid of the decimals, giving us :

10 x + 5 y = 950   (3)

Now we will multiply equation (1) by 5 , giving us 

5 x + 5 y = 660   (4)

Now, we subtract :   (3) - (4)

5x =  290
x = 58

This will give us y = 74.

To check , 58 ( 0.10) +  74 ( 0.05) = 9.50

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