Question 186574
Let put x= number of dimes then we create the equation as follows:

(10/100) x + (x+8)* (1/4) = 5.50 ......  (1)
 (note: 10/100= 1 dime, 1/4= quarter)
solve this equation you will have the answer.
 
Let multiply the equation (1) to 4, the (1) will become:
(4/10) x +x+8 = 22 ( time the equation to 10)
therefore :  ====> 4x+10x+80= 220   
therefore : 14x= 220-80
            14x=140 ======> x=10 dimes and x+8= 10+8 =18 quarters
we have 10 dimes and 18 quarters
.