Problema Solution
A jar contains 40 coins consisting of dimes and quarters and having a total value of $4.90. How many of each coin are there?
Answer provided by our tutors
1 dime = 10 cents
1 quarter = 25 cents
let
d = the number of dimes, d>0, d is integer
q = the number of quarters, q>0, q is integer
A jar contains 40 coins consisting of dimes and quarters
d + q = 40
having a total value of $4.90 = 490 cents
10d + 25q = 490 divide both sides by 5
2d + 5q = 98
by solving the system of equations
d + q = 40
2d + 5q = 98
we find
d = 34 dimes
q = 6 quarters
click here to see the step by step solution of the system of equaitons
there are 34 dimes and 6 quarters in the jar.