Mathematics
03.12.2021 06:48
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One week Chuck bought 2 packs of chicken and 3 packs of beef for $42.50. The next

One week Chuck bought 2 packs of chicken and 3 packs of beef for $42.50. The next week he bought 5 packs of chicken and 6 packs of beef for $94.25. What is the price of each pack of chicken and each pack of beef?
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BeautyxQueen
BeautyxQueen
5,0(55 marks)

Each pack of chicken costs $8 and each pack of beef costs $9.24.

Step-by-step explanation:

This question can be solved using a system of equations:

I am going to say that:

x is the cost of each pack of chicken.

y is the cost of each pack of beef.

2 packs of chicken and 3 packs of beef for $42.50.

This means that 2x + 3y = 42.50

5 packs of chicken and 6 packs of beef for $94.25.

This means that 5x + 6y = 94.25

We have to solve the following system:

2x + 3y = 42.50

5x + 6y = 94.25

I will use the addition method, multiplying the first equation by -2, and adding to the second

-4x - 6y = -85

5x + 6y = 94.25

-4x + 5x - 6y + 6y = -85 + 94.24

x = 9.24.

And

2x + 3y = 42.50

3y = 42.50 - 2x

y = \frac{42.50 - 2*9.24}{3}

y = 8

Each pack of chicken costs $8 and each pack of beef costs $9.24.

jadabecute3739
jadabecute3739
4,4(54 marks)

You can download answer here

cutt.ly/nz6VGda

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