Question

4) 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 1

Answer: 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

Explanation: