Question

brian and shawna are selling cookie dough. ryan sold 6 packod cookie dough and 12 packages of gingerbread cookies dough for a total of $276.00. shawna sold 8 packages of chocolate chip cookies and 3 packages of gingerbread cookies dough for a total of $147.00. find the cost of each of one package of chocolate chip cookies dough and one package of gingerbread cookies dough.

Answer 1

Answer:

Chocolate chip dough = $12

Gingerbread cookie dough = $17

Step-by-step explanation:

Since there are two variables in this problem, setting up a system of equations and using the elimination method will help us find the cost for each package of cookie dough.  Based on Ryan's sales of 6 packages of chocolate chip and 12 packages of gingerbread for $276, the first equation is:

6c + 12g = 276

Since Shawna sold 8 chocolate chip and 3 gingerbread for a total of $147.00, the second equation is:

8c + 3g = 147

Using the elimination method, we will need to multiply the second equation by a factor of -4 in order to eliminate the variable 'g':

-4(8c + 3g = 147) = -32c - 12g = -588

Add the two equations:

6c + 12g = 276

+ -32c - 12g = -588

-26c = -312  or c = $12

Plug the value of 'c' into the first equation:

6(12) + 12g = 276 or 72 + 12g = 276 or g = $17