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: