Problema Solution

There is a collection of nickels, dimes and quarters with total value of $47.60. There are 28 more dimes than nickels. There are 5 times as many quarters as dimes. How many quarters are in the collection?

Answer provided by our tutors

let 'x' represent the number of nickels, then 'x+28' represents the number of dimes and '5(x+28)' represents the number of quarters


47.6 = 0.05x + 0.10(x+28) + 0.25(5(x+28))

solving for 'x' we have x=7


5(7+28) = 5*35 = 175


there are 175 quarters in the collection