Problema Solution
John has a total of 13 coins in his pocket. Of the 13 coins, they are all either quarters or dimes. The total value of the coins is $2.50. How many quarters does John have in his pocket?
Answer provided by our tutors
1 dime = 10 cents
1 quarter = 25 cents
let
d = the number of dimes, d>0
q = the number of quarters, q>0
John has a total of 13 coins in his pocket. Of the 13 coins, they are all either quarters or dimes.
d + q = 13
The total value of the coins is $2.50
10d + 25q = 250 divide both sides by 5
2d + 5q = 50
by solving the system of equations
d + q = 13
2d + 5q = 50
we find
d = 5 dimes
q = 8 quarters
click here to see the step by step solution of the system of equations
John has 8 quarters in his pocket.