Question 186574: Peg has 8 more quarters than dimes. she has only quarters and dimes for a total of $5.50. How many of each coin does she have?
Answer by dukesmart(20)   (Show Source):
You can put this solution on YOUR website! 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
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