Question

Ryan and Cody are selling cookie dough for a school fundraiser. Customers can buy packages of white chocolate chip cookie dough and packages of double chocolate cookie dough. Ryan sold 6 packages of white chocolate chip cookie dough and 12 packages of double chocolate cookie dough for a total of $204. Cody sold 7 packages of white chocolate chip cookie dough and 7 packages of double chocolate cookie dough for a total of $147. What is the cost each of one package of white chocolate chip cookie dough and one package of double chocolate cookie dough?

Answer 1

9514 1404 393

Answer:

• white: $8
• double: $13

Explanation:

Let w and d represent the costs of white chocolate chip cookie dough and double chocolate chip cookie dough, respectively.

6w +12d = 204 . . . . . . Ryan's sale

7w +7d = 147 . . . . . . . . Cody's sale

We can divide out the common factor to put these equations into standard form:

w +2d = 34

w +d = 21

Subtracting the second of these equations from the first, we get ...

(w +2d) -(w +d) = (34) -(21)

d = 13

Using the second equation, we can find w:

w = 21 -d = 21 -13 = 8

The costs of the chocolate chip cookie dough packages are ...

white: $8

double: $13