Answer:
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)
