Problema Solution
There were 40 dimes and quarters in the drawer. Peggy counted them and found that their total value was $4.75. How many coins of each type were there?
Answer provided by our tutors
1 dime = 10 cents
1 quarter = 25 cents
let
d = the number of dimes in the coin bank, d>0
q = the number of quarters in the coin bank, q>0
There were 40 dimes and quarters in the drawer:
d + q = 40
Peggy counted them and found that their total value was $4.75 = 475 cents:
10d + 25q = 475
by solving the system of equations:
d + q = 40
10d + 25q = 475
we find:
d = 35 dimes
q = 5 quarters
click here to see the step by step solution of the system of equations:
there are 25 dimes and 5 quarters in the drawer.