# Joey decides to empty his piggy bank and his money. His bank is with only nickels and dimes. Joey counted a total of that up to $3.15. How many nickels and how many dimes does Joey have in his pi bank?

##### 1 Answer

Potentially there are a number of solutions but I am just going to give you 1

3 nickels + 30 dimes

Se the explanation for the algebraic represenation

#### Explanation:

Known:

Note that

Let the count of dimes be

Let the count of nickels be

Standardizing everything into cents we have

Splitting the 315 into 300+15

10 will not divide exactly into 15 but 5 will

Set

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Having 3 nickels leaves us 300 cents to deal with

Set

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There after you count nickels in pairs and make up the difference in dimes. Remember that we 'get rid' of the 15c by having

Using the count of

The 2n makes sure that we have an even number of nickels

Total count of nickels is 3+2n

Total count of dimes is d

Value wise we have: