So remember that a quarter=25 cents and a dime=10 cents so represent q=# of quarters d=# of dimes
so barney gets dimes so replace barney with d and betty with q barney get 5 more coins than betty d=5+q total=5.05=0.25q+0.10d since each is worth 0.25 and 0.10 so we have d=5+q and 5.05=0.25q+0.10d subsitue (5+q) for d 5.05=0.25q+0.10(5+q) distribute 5.05=0.25q+0.50+0.10q add like terms 5.05=0.35q+0.50 subtract 0.50 from both sides 4.55=0.35q divide both sides by 0.35 13=q subsitute d=5+q d=5+13 d=18
