Problema Solution
You have 32 coins in your piggy bank, which has only dimes and quarters. If the total value of all the coins is $5.00, how many of each type of coin do you have?
Answer provided by our tutors
1 quarter = 25 cents
1 dime = 10 cents
let
q = the number of quarters, q>=0, q is integer
d = the number of dimes, d>=0, d is integer
you have 32 coins in your piggy bank:
d + q = 32
the total value of all the coins is $5.00 = 500 cents:
10d + 25q = 500 divide both sides by 5
2d + 5q = 100
by solving the system of equations:
d + q = 32
2d + 5q = 100
we find:
d = 20 dimes
q = 12 quarters
click here to see the step by step solution of the system of equations:
there are 20 dimes and 12 quarters in the piggy bank.