Joe has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many of each voin does he have?

Question

Joe has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many of each coin does he have?

Answer 1

Let there be X dimes and Y quarters

 

X + Y = 100    First equation 

 

1 dime = 1/10 $ = 0.10 $

1 quarter = 1/4 $ = 0.25 $

 

0.1 X + 0.25 Y = 14.05  Second equation

 

Solve these two equations for X and Y X = 73 and Y =27

73 dimes and 27 quarters