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Llana [10]
3 years ago
15

A local RadioShack store wants to buy a new line of plasma TVs. Manufacturer A offers chain discounts of 18/12, and Manufacturer

B offers terms of 17/13. Which single equivalent discount rate is the best deal?
Mathematics
1 answer:
andrezito [222]3 years ago
7 0
Given that a<span> local RadioShack store wants to buy a new line of plasma TVs. Manufacturer A offers chain discounts of 18/12, and Manufacturer B offers terms of 17/13.

Let the list price of the plasma TVs be x, then after a chain discount of 18/12 by Manufacturer A, the selling price of the plasma TVs will be (1 - 0.18)(1 - 0.12)x = 0.82(0.88)x = 0.7216x

Also, after the discount of 17/13 by manufacturer B, the selling price of the plasma TVs will be (1 - 0.17)(1 - 0.13)x = 0.83(0.87)x = 0.7221x

Thus, the final selling price after discount by manufacturer A is 0.7216 and the final selling price after dscount by manufacturer B is 0.7221x.

Therefore, Manufacturer A offers a </span><span>single equivalent discount rate that is the best deal.</span>
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3

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Finish solving the system of equations –9.5x – 2.5y = –4.3 and 7x + 2.5y = 0.8 using the linear combination method.
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Step-by-step explanation:

The steps are :

- 9.5x - 2.5y =  - 4.3 -  -  - (1)

7x + 2.5y = 0.8 -  -  - (2)

(1) + (2)

- 9.5x + 7x - 2.5y + 2.5y =  - 4.3 + 0.8

- 2.5x =  - 3.5

x =  \frac{7}{5}  \: or \: 1.4

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