SOLUTION: Maggy has $24 in her piggy-bank in quarters, $1 and $2 coins. She has 2 fewer $2 coins than $1 coins and twice as many quarters as $1 coins. How many coins of each type does she h

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Maggy has $24 in her piggy-bank in quarters, $1 and $2 coins. She has 2 fewer $2 coins than $1 coins and twice as many quarters as $1 coins. How many coins of each type does she h      Log On


   

Question 1012507: Maggy has $24 in her piggy-bank in quarters, $1 and $2 coins. She has 2 fewer $2 coins than $1 coins and twice as many quarters as $1 coins.
How many coins of each type does she have?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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Q=quarters; N=$1 coins; T=$2 coins
T=N-2
Q=2N
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$0.25(2N)+$1N+$2(N-2)=$24
$0.50N+$1N+$2N-$4=$24
$3.50N=$28
N=8
ANSWER 1: She has eight $1 coins.
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T=N-2=8-2=6
ANSWER 2: She has six $2 coins.
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Q=2N=2(8)=16
ANSWER 3: She has 16 quarters.
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CHECK:
$0.25Q+$1N+$2T=$24
$0.25(16)+$1(8)+$2(6)=$24
$4+$8+$12=$24
$24=$24