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horsena [70]
4 years ago
15

An appliance dealer sold 40 tv sets during a special sale. Some of the sets were black-and - white models each selling at $119.

The rest were color sets at $319 each. The sale brought in $10,360. How many color sets were sold?
Mathematics
1 answer:
Harman [31]4 years ago
8 0

Answer: 28 color sets were sold

Step-by-step explanation:

Let x represent the number of black-and - white models that were sold.

Let y represent the number of color sets that were sold.

An appliance dealer sold 40 tv sets during a special sale. Some of the sets were black-and - white models while the rest were color sets.. It means that

x + y = 40

Black-and - white models each sold for $119. Color sets sold at $319each. The sale brought in $10,360. It means that

119x + 319y = 10360 - - - - - -- - - - - -1

Substituting x = 40 - y into equation 1, it becomes

119(40 - y) + 319y = 10360

4760 - 119y + 319y = 10360

- 119y + 319y = 10360 - 4760

200y = 5600

y = 5600/200

y = 28

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Let's start by assuming Armando's house is between Joey's and the park. 

Let x be the distance Joey walked to Armando's house.

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That's probably the answer they're looking for.  But what if the park is between Joey and Armando's houses or Joey is between the park and Armando?  (The latter isn't really possible with the given distances.)

Let a, b, c be the distances between three collinear points like we have here.  Our equation is really a few equations in one, something like

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Let's get rid of the plus/minuses. Squaring,

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We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

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