Create a system of lineAr equations that represents the problem

Algebra
Tutor: None Selected Time limit: 1 Day

Gary and Kristen are selling cheesecakes for a fundraiser. Customers can buy NY style or Apple style cheesecakes. Gary sold 2 NY style cheesecakes and 8 Apple cheesecakes for a total of $164. Kristen sold 8 NY style Cheesecakes and 4 Apple cheesecakes for a total of $124. Find the cost each of one NY style cheesecake and one Apple cheesecake

Create a system of lineAr equations that represents the problem

May 22nd, 2015

Let's assume;

One NY style cheesecake = X

One Apple cheesecake = Y

In case of Gray;

2X + 8Y = $164              .......................(1)

In Kristen's case;

8X + 4Y =$124             ......................... (2)

Multiply equation (1) by '4' and then subtract from equation (2);

(8X + 4Y) - (8X + 32Y) = $124 - 652

4Y - 32Y = -528

-28Y = -528

Y = 528/28 = $19 approx

One Apple cheesecake = Y = $19

Put Y = $19 in equation (1)

2X + 4(19) = 164 

2X = 164 -76

2X = 88

X = $44

One NY style cheesecake = X = $44

May 22nd, 2015

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May 22nd, 2015
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