Problema Solution

Your little brother saves all his coins. His piggy bank has a combination of 50 quarters and nickels. The quarters and nickels add to $8.50. How many quarters does he have in his piggy bank?

Answer provided by our tutors

Let

x = the number of quarters

y = the number of nickles

1 quarter = 25 cents

1 nickle = 5 cents

$1 = 100 cents

$8.50 = 850 cents

Using the given conditions we can write: 

x + y = 50

25x + 5y = 850 

........

click here to see the system of equations solved for x and y

........

x = 30 quarters

y = 20 nickles

He has 30 quarters and 20 nickles in the piggy bank.