Question

Tommy has a collection of nickels and quarters and the total value of his collection is $4.90. He has a total of 42 coins in his collection. How many quarters does he have?

Answer 1

14

Explanation:

Given that:

Quarters, x = 25 cent

Nickel, y = 5 cent

Total number of coins = 42

Total worth = $4.90 = 490 cents

x + y = 42 - - (1)

25x + 5y = 490 - - - (2)

y = 42 - x

25x + 5(42 - x) = 490

25x + 210 - 5x = 490

20x = 280

x = 280 / 20

x = 14

x = quarters = 14