Question 149034
d=number of dimes
q=number of quarters
coefficient=value of the coin


10d+25q=345--------------------because the total value of both the coins is 345 cents
d=q+3--------------------------because there are 3 more dimes than quarters


Plug d into the first equation
10(q+3)+25q=345


Distribute
10q+30+25q=345


Combine like terms
35q+30=345


Subtract 30 from both sides
35q=315


Divide both sides by 35
q=9


Number of quarters=9


d=q+3
d=9+3
d=12


number of dimes=12


So,
number or quarters=9
number of dimes=12