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

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Answer:

• white: $8
• double: $13

Step-by-step 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