Question

A piggy bank contains the same number of quarters, nickels, and dimes. The coins total $4.40. How many of each type of coin does the piggy bank contain?

Answer 1

Question is -------> A piggy bank contains $4.40 in nickles, dimes and quarters. there are twice as many quarters as nickles and 5 more dimes than nickles. how many of each kind of coins are there?

solution :- Let number of nickels = x
∴ amount of nickels = $ 1/20 x = $/20

number of dimmes = x + 5
∴ amount of dimes = $ 1/10 (x + 5) = $ (x + 5)/10

number of quarter = 2x
∴ amount of quarter = $ 1/4 (2x) = $ x/2

Now, amount of nickels + amount of dimmes + amount of quarter = $ 4.4
⇒ $ x/20 + $ (x + 5)/10 + $ x/2 = $ 4.4
⇒ $ (x + 2x + 10 + 10x)/20 = $ 4.4
⇒ 13x + 10 = 88
⇒13x = 78
⇒ x = 6

Hence, number of nickels = x = 6
Number of dimmes = x + 5 = 11
number of quarter = 2x = 12