SOLUTION: Natalie has some nickles. Dirk has some dimes, and Quincy has some quarters. Dirk has five more dimes than Quincy has quarters. If Natalie gives Dirk a nickel, Dirk gives Quincy a

Question 1124778: Natalie has some nickles. Dirk has some dimes, and Quincy has some quarters. Dirk has five more dimes than Quincy has quarters. If Natalie gives Dirk a nickel, Dirk gives Quincy a dime, and Quincy gives Natalie a quarter, they will all have the same amount of money. How much coins did each have originally. Use ONLY ONE variable.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of quarters Quincy has originally
= the number of dimes Dirk has originally
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Natalie gives Dirk a nickel. His coins are worth:
cents
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Dirk gives Quincy a dime.
Dirk痴 coins are worth:

Quincy痴 coins are worth:

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Quincy gives Natalie a quarter
His coins are worth:

Natalie:
She lost a nickel and gained a quarter, so
she is plus cents
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They all have the same amount now
is Quincy痴 amount
is Dirk痴 amount
They all have the same amount, so

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Quincy had coins originally
Dirk had coins originally
Natalie ended up with cents,
Which is cents more than she started with
She started with cents
She had nickels, so she started with
coins originally
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