SOLUTION: You find 8 coins in an old desk drawer, consisting entirely of nickels, dimes, and quarters, with a face value of 80 cents. However, the coins all date from 1889 and are worth much
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Question 662502: You find 8 coins in an old desk drawer, consisting entirely of nickels, dimes, and quarters, with a face value of 80 cents. However, the coins all date from 1889 and are worth much more than their face value. You were able to sell all the coins to a coin shop for a total of $22. Suppose you received $3 for each nickel, $2 for each dime, and $5 for each quarter. How many of the coins were quarters?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let
represent the number of nickels,
represent the number of dimes, and
represent the number of quarters.
because the total number of coins is 8
because the total FACE value of the coins is 80 cents, each nickel is worth 5 cents, each dime is worth 10 cents, and each quarter is worth 25 cents.
because the total SALE value of the coins is 22 dollars, each nickel is worth 3 dollars, each dime is worth 2 dollars, and each quarter is worth 5 dollars.
Solve the 3X3 system. Report the value of
John

My calculator said it, I believe it, that settles it
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