Question

Matt and Trevon 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. Matt sold 14 packages of white chocolate chip cookie dough and 3 packages of double chocolate cookie dough for a total of $109. Trevon sold 8 packages of white chocolate chip cookie dough and 3 packages of double chocolate cookie dough for a total of $79. What is the cost each of one package of white chocolate chip cookie dough and one package of double chocolate cookie dough?

Answer 1

The cost of 1 pack of white chocolate chip cookie dough is $5.

The cost of 1 pack of double chocolate cookie dough is $13.

Step-by-step explanation:

Let,

• The cost of white chocolate chip cookie dough package = x
• The cost of double chocolate cookie dough package = y

Matt sold 14 packages of white chocolate chip cookie dough and 3 packages of double chocolate cookie dough for a total of $109.

The equation is framed as,

⇒ 14x + 3y = 109  --------(1)

Trevon sold 8 packages of white chocolate chip cookie dough and 3 packages of double chocolate cookie dough for a total of $79.

The equation is framed as,

8x + 3y = 79  -------(2)

To find x and y :

Subtract eq(2) from eq(1),

 14x + 3y = 109

- (8x + 3y = 79)

  6x        = 30

⇒ x = 30/6

⇒ x = 5 dollars.

The cost of 1 pack of white chocolate chip cookie dough is $5.

Substitute x=5 in eq(2),

⇒ 8(5)+3y = 79

⇒ 40+3y = 79

⇒ 3y = 79-40

⇒ 3y = 39

⇒ y = 39/3

⇒ y = 13 dollars.

The cost of 1 pack of double chocolate cookie dough is $13.