Question

Kristin and James are selling cookie dough for a school fundraiser. Customers can buypackages of chocolate chip cookie dough and packages of s'more cookie dough. Kristinsold 9 packages of chocolate chip cookie dough and 14 packages of s'more cookiedough for a total of $246. James sold 12 packages of chocolate chip cookie dough and 7packages of s'more cookie dough for a total of $153. Find the cost of one package ofchocolate chip cookie dough.A. $4B. $5C. $3D. $15

Answer 1

"Kristin sold 9 packages of chocolate chip and 14 packages of dough for $246", this can be expressed as

`9x+14y=246`

Where x is chocolate chips and y is cookie dough.

"James sold 12 packages of chocolate chip and 7 packages of dough for $153".

`12x+7y=153`

Let's multiply the second equation by -2.

`\begin{gathered} 9x+14y=246 \\ -24x-14y=-306 \end{gathered}`

Then, we combine the equations

`\begin{gathered} -15x=-60 \\ x=-(60)/(-15) \\ x=4 \end{gathered}`

Hence, the answer is A. $4.