A corner store sells two kinds of baked goods: cakes and pies. A cake costs $14 and a pie costs $8. In one day, the store sold 12 baked goods for a total of $144. Tell me how many cakes did they sell

garnirativ8

garnirativ8

Answered question

2022-10-07

A corner store sells two kinds of baked goods: cakes and pies. A cake costs $14 and a pie costs $8. In one day, the store sold 12 baked goods for a total of $144. Tell me how many cakes did they sell

Answer & Explanation

Samantha Braun

Samantha Braun

Beginner2022-10-08Added 9 answers

Out of 12 baked goods sold , let the number of cakes sold
be x in number and pies sold were 12−x in number.
Total sell was $144 , 1 cake costs $14 and 1 pie costs
$ 8 14 x + ( 12 - x ) 8 = 144 or 14 x - 8 x = 144 - 96 or
6 x = 48 x = 8
pokvarilaap

pokvarilaap

Beginner2022-10-09Added 3 answers

You can use two variables.
Let the number of cakes be x and the number of pies be y
If 12 baked goods were sold:
x+y=12 -> x=(12−y)
Using the price of each we can write the equation:
14x+8y=144
14(12−y)+8y=144
168−14y+8y=144
168−144=6y
24=6y
4=y
4 pies were sold and 8 cakes were sold.

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