Question

Ming and Amanda are selling cookie dough for a school fundraiser. Customers can buy packages

of white chocolate chip cookie dough and packages of oatmeal cookie dough. Ming sold 5
packages of white chocolate chip cookie dough and 14 packages of oatmeal cookie dough for a
total of $320. Amanda sold 8 packages of white chocolate chip cookie dough and 7 packages of
oatmeal cookie dough for a total of $204. What is the cost each of one package of white
chocolate chip cookie dough and one package of oatmeal cookie dough?

Answer 1

To find the cost of one package of white chocolate chip cookie dough and one package of oatmeal cookie dough, we can set up a system of equations and solve them using substitution method. The cost of one package of white chocolate chip cookie dough is $15 and the cost of one package of oatmeal cookie dough is $8.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's represent the cost of one package of white chocolate chip cookie dough as x dollars, and the cost of one package of oatmeal cookie dough as y dollars.

From the information given, we can set up the following equations:

5x + 14y = 320

8x + 7y = 204

Now, we can solve this system of equations using either substitution or elimination method. Let's use substitution method to solve it.

From the second equation, solve for x in terms of y: x = (204 - 7y) / 8

Substitute this value of x into the first equation: 5((204 - 7y) / 8) + 14y = 320

Simplify and solve for y: y = 8

Substitute this value of y back into x = (204 - 7y) / 8 to find x: x = 15

Therefore, the cost of one package of white chocolate chip cookie dough is $15 and the cost of one package of oatmeal cookie dough is $8.