SOLUTION: Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Castel sold 6 apple pies and 4 lemon meringue pies for a total

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Question 179265: Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Castel sold 6 apple pies and 4 lemon meringue pies for a total of $80. Gabriella sold 6 apple pies and 5 lemon meringue pies for a total of $94. What is the cost each of one apple pie and one lemon meringue pie?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Castel's Eqn:
6A%2B4L=80
We get--->6A=80-4L--->cross%286%29A%2Fcross%286%29=%2880-4L%29%2F6,
A=%2880-4L%29%2F6, EQN 1
Gabriella's Eqn:
6A%2B5L=94, subst. EQN 1
cross%286%29%28%2880-4L%29%2Fcross%286%29%29%2B5L=94
L=94-80---->L=$14.00/each
Go back EQN 1,
A=%2880-4%2A14%29%2F6=%2880-56%29%2F6=24%2F6
A=$4.00/each
Check via Castel's Eqn:
6%2A4%2B4%2A14=80
24%2B56=80
$80=$80
Check via Gabriella's Eqn:
6%2A4%2B5%2A14=94
24%2B70=94
$94=$94
Thank you,
Jojo