Problema Solution

maria received change woth $13 dollars. Shereceived 10 more dimes than nickels and 22 more quarters than dimes. How many coins of each did she receive?

Answer provided by our tutors

Let number of dimes = x.

Then number of nickels = x-10. 

And number of quarters = x+22. 

 change woth $13 dollars:

10x + 5(x-10) + 25(x+22) = 1300

10x + 5x-50 + 25x + 550 = 1300

40x + 500 = 1300

40x = 800

x = 20.

Dimes: 20

Nickels: 10

Quarters: 42