A girl has $3.35 in her pocket, consisting of dimes and quarters. If there are 23 coins in all, how many of each does she have? HELPPPPP PLEASE SHOW ALL WORK... THANKS
represent d=number of dimes q=number of quarters thererfor q+d=23
1q=0.25 1d=0.10 therefor
total value=3.35=0.25q+0.1d so we have q+d=23 0.25q+0.1d=3.35 solve q+d=23 subtract q from both sides d=23-q subsitute 0.25q+0.1(23-q)=3.35 distribute 0.25q+2.3-0.1q=3.35 group like terms 0.25q-0.1q+2.3=3.35 add like terms 0.15q+2.3=3.35 subtract 2.3 from both sides 0.15q=1.05 multipliy both sides by 100 to get rid of decimal 15q=105 divide both sides by 15 q=7 subsitute q+d=23 7+d=23 subtract 7 d=16
