Patricio has a collection of dimes and quarters. overall he has 51 coins and their total value is $10.35.how many quarters and how many dimes does he have?
51 coins
x = #dimes amount = .10 x
51-x = # quarters amount = .25 (51-x) added together = 10.35
.10x + .25(51-x) = 10.35 solve for x which is the number of dimes. then #quarters = 51-x