Question 987873: A child has nine coins with a total value of 92 cents. What coins does the child have?
Answer by josgarithmetic(39623)   (Show Source):
You can put this solution on YOUR website! You can try setting up a system of two equations in FOUR unknown variables, and then need to make trial assumptions for one or two variables to be taken as if constants. You would then look for combinations which give positive integers or 0. Another method is to literally try combinations of coins and split larger into smaller until you find the combination which gives 92 cents and 9 coins. This last method is what I tried.
I started from 4 quarters (variable, q). Obviously excess compared to 92 cents.
Then tried 3 quarters instead, and looked for any nickels, dimes, or pennies. Finally after a small number of different tries, I found:
2 q
3 d
2 n
2 p
Total 9 coins, 92 cents.
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