A dime worth 10 cents. A quarter worth 25 cents. Let x be the number of cents and y be the number of quarters. then we get the equations: 10x+25y=2140 x+y=100. multiply the second equation by -10 we get: -10x-10y=-1000 Add this equation to the first equation we get: 15y=1140 then y=76 then x=100-76=24. There were 24 dimes and 76 quarters.