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casey and bella are selling pies for a school funraiser.
Customers can buy apple pies and lemon meringue paies.
Casey 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?
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It can be solved in different ways.
You can write the system of equations
6a + 4L = 80 (1)
6a + 5L = 94 (2)
and solve it, as the formal Algebra teaches you.
Alternatively, you can notice that the difference between two sets that they sold
is 1 (one) lemon pie, from one side, and 94-80 = 14 dollars, from the other side.
So, one lemon pie costs $14, and one apple pie costs (from equation (1))
a = = = 4 dollars.
ANSWER. Apple pie costs $4. Lemon pie costs $14.
Solved.