There are some nichols dimes and quarters in a large piggy bank for every two nickels there a sweetheart forever to diane's there in 5/4 there a 500 coins total how many nickels dimes and quarters are in the piggy bank explain your reasoning how much are the coins in the piggy bank worth

Question is not proper, Proper question is given below.

There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels, there are 3 dimes. For every 2 dimes, there are 5 quarters. There are 500 coins in all. How many nickels, dimes, and quarters are in the piggy bank? How much are the coins in the piggy bank worth all together?

There are 80 nickels, 120 dimes and 300 quarters in the piggy bank.

The piggy bank is worth $91.

Step-by-step explanation:

Let Number of Nickels be represented by 'n'.

Let Number of Dimes be represented by 'd'.

Let of Quarters be represented by 'q'.

Now Given:

For every 2 nickels, there are 3 dimes.

2 n = 3 d

1 n = number of dimes.

We will use Unitary method to find the same.

Number of 1 dimes d =

Also Given:

For every 2 dimes, there are 5 quarters.

2 d = 5 q

1 d = number of quarters

We will use Unitary method to find the same.

Number of 1 quarter q =

Also Given:

Total Number of coins = 500

Now d =

AND q =

So Substituting the values we get;

Taking LCM we get making denominator as 4.

Hence number of Nickels n = 80

Number of Dimes d =

Number of Quarters q =

Hence There are 80 nickels, 120 dimes and 300 quarters in the piggy bank.

Now we know that;

1 nickel = $0.05

so 80 nickels  =

1 dime = $0.1

so 120 dimes =

1 quarter = $0.25

so 300 quarters =

So Total money = $4+$12+$75 = $91

Hence the piggy bank is worth $91.

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