SOLUTION: Ming and Carlos are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of gingerbread cookie dough. Ming sold 8 pa

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Question 941966: Ming and Carlos are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of gingerbread cookie dough. Ming sold 8 packages of chocolate chip cookie dough and 12 packages of gingerbread cookie dough for a total of $364. Carlos sold 1 package of chocolate chip cookie dough and 4 packages of gingerbread cookie dough for a total of $93. Find the cost each of one package of chocolate chip cookie dough and one package of gingerbread cookie dough.

Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Ming and Carlos are selling cookie dough for a school fundraiser.
Customers can buy packages of chocolate chip cookie dough and packages of gingerbread cookie dough.
Ming sold 8 packages of chocolate chip cookie dough and 12 packages of gingerbread cookie dough for a total of $364.
Carlos sold 1 package of chocolate chip cookie dough and 4 packages of gingerbread cookie dough for a total of $93.
Find the cost each of one package of chocolate chip cookie dough and one package of gingerbread cookie dough.
:
let c = cost of chip cookies
let g = cost of ginger cookies
:
Ming's sales: 8c + 12g = 364
Carl's sales: 1c + 4g = 93
:
Using the 2nd equation for substitution in the 1st equation:
c + 4g = 93
c = (93-4g)
:
8(93-4g) + 12g = 364
744 - 32g + 12g = 364
-32g + 12g = 364 - 744
-20g = -380
g = -380/-20
g = +$19 for the ginger cookie dough
then
c = 93 - 4(19)
c = $17 for the chip dough
:
:
YOu can confirm this for yourself with these values for c and g in the original equations