A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3 times the dimes. How many nickels and dimes are there in the piggy bank?

The piggy bank has nickels and dimes.

64 nickels and 24 dimes are there in the piggy bank.

Step-by-step explanation:

There are $5.60 in the piggy bank in nickels and dimes.

Let x number of nickels and y number of dimes are there.

Now, 1 nickel ≡ 0.05 dollars and 1 dime ≡ 0.1 dollars.

So, 0.05x + 0.1y = 5.6

⇒ 5x + 10y = 560

⇒ x + 2y = 112 ... (1)

Again, from the condition given we can write that,

So, 3y - 8 = x ... (2)

Now, solving (1) and (2) we get 3y - 8 + 2y = 112

⇒ 5y = 120

⇒ y = 24

And from equation (2) we get x = 3y - 8 = 64.

So, there are 64 nickels and 24 dimes in the piggy bank. (Answer)