Sam has some nickels and quarters. He has 33 coins in all with $3.75 more in quarters than in nickels. How many coins of each type does he have?

Answer 1

Let x = number of nickels and y = number of quarters

Then, x + y = 33 and 0.05x + 3.75 = 0.25y

So, 0.05x + 3.75 = 0.25(33 - x)

0.30x = 4.5

x = 15

There are 15 nickels and 18 quarters.