Eric H. answered 03/17/21
Math student - love helping other students
Giovanni Y.
asked 03/17/21Michael and Stephanie are selling cookies for a school fundraiser. Customers can buy boxes of either chocolate chip or oatmeal cookies. Michael sold 14 boxes of chocolate chip cookies and 6 boxes of oatmeal cookies for a total of $160. Stephanie sold 12 boxes of chocolate chip cookies and 12 boxes of oatmeal cookies for a total of $192. How much was each box or chocolate chip cookies and how much was each box of oatmeal cookies?
Your answer
Eric H. answered 03/17/21
Math student - love helping other students
Michael M. answered 03/17/21
Math, Chem, Physics, Tutoring with Michael ("800" SAT math)
The two unknowns are the price of chocolate chip boxes and the price of oatmeal cookie boxes.
So let c = the price of chocolate chip boxes and m = the price of oatmeal cookie boxes.
14 boxes of chocolate chips and 6 boxes of oatmeal cookies add up to $160
Therefore,
14c + 6m = 160. (c and m are in dollars, since the prices in the problem are in dollars)
Similarly, 12 boxes of chocolate chips and 12 boxes of oatmeal cookies add up to $192 gives the equation:
12c + 12m = 192. We'll divide each term in this equation by 12 to get: c + m = 16
Now we have two equations:
14c + 6m = 160
c + m = 16.
Do you think you can solve the systems of equations?
Joshua J. answered 03/17/21
I’m a student who excels in classes and wants to help others
Here you would perform elimination to determine the first variable then plug in to find the other.
In this problem we will set (o) for oatmeal cookies and (C) for chocolate chip cookies. In looking at the equation we get these two base equations.
14C+6O=160
12C+12O=192
After getting these two equations, we want to multiply the first equation by -2 so we cancel out (o). This gives us
-28c-12o=-320
12C+12O=192
We now cancel out the 12 and we now get
16C=128
whicy gives C a value of $8 per box of chocolate chip cookies.
Now we can plug 8 in either equation to determine the cost of Oatmeal cookies.
12(8)+12(O)=192
96+12O=192
12O=96
O=$8 per box
Now we plug both values in to double check our answer
12(8)+12(8)=192
192=192
so we are correct
14c + 6o = 160
12c + 12o = 192
Can you solve for c or o and answer?
Giovanni Y.
no i tried can you please give me the rest of the answer03/17/21
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Giovanni Y.
no i already tried03/17/21