If Lauren has 2 more nickels than quarters and they have a combined value of 130 cents, how many of each coin does she have?

Answer 1

Let x = # of nickles and y = # of quarters

Then 5x + 25y = 130

and x = y + 2 (given)

5(y + 2) + 25y = 130 or

5y + 10 + 25y = 130 or

30y = 120

y = 4 (# of quarters)

x = 6 (# of nickles)