SOLUTION: How many quarters, dimes and pennies I need to total an amount of $3.27. Thank you. (needs a total of 20 coins)

Question 957694: How many quarters, dimes and pennies I need to total an amount of $3.27. Thank you. (needs a total of 20 coins)
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
q, d, p counts of the coins.

Expect more than one solution for how many of each coin. Two equations, THREE unknown variables. Use elementary row operations, but pick a variable to treat as a constant; best choice seems to be p.

Assuming p is a constant although not yet known value,
-----simpler system
-

-
E1-E2,

Return again to simple system,

E2-E1,

You want to find what whole number p will make q and d to be whole numbers, and also be sure that q+d+p=20 :

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