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Mike and Shawna are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of oatmeal cookie dough. Mike sold 12 packages of chocolate chip cookie dough and 3 packages of oatmeal cookie dough for a total of $225. Shawna sold 6 packages of chocolate chip cookie dough and 11 packages of oatmeal cookie dough for a total of $293. What is the cost each of one package of chocolate chip cookie dough and one package of oatmeal cookie dough?

Sagot :

GoinMyWay

Answer:

$19 for one package of oatmeal cookie dough and $14 for one package of chocolate chip cookie dough

Step-by-step explanation:

We need to set up two equations: one that shows how much money Mike made and one that shows how much money Shawna made.  

Let's make a = price for one chocolate chip cookie dough and b = price for one oatmeal cookie dough.

First equation for Mike: 12a + 3b = 225

Second equation for Shawna: 6a + 11b = 293

Next we isolate b from Mike's equation: b = 75 - 4a

Then we plug this equation into Shawna's equation and we get:

6a + 11(75 - 4a) = 293

Solving for a would get us 14, or $14 for one chocolate chip cookie dough.

If we plug 14 = a into Mike's original equation and solve for b, we get b = 19, or $19 for one oatmeal cookie dough.

Hope this helped!

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