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nirvana33 [79]
3 years ago
11

Susan is buying three different colors of tiles for her kitchen floor. She is buying 25 more red tiles than beige tiles, and thr

ee times as many navy-blue tiles as beige tiles. If Susan buys 435 tiles altogether, how many tiles of each color does she buy?
Mathematics
1 answer:
Vanyuwa [196]3 years ago
5 0
Let us assume that the number of beige tiles bought by Susan = B
Number of red tiles bought by Susan = R
Number of navy-blue tiles bought by Susan =N
Number of tiles bought altogether = 435
Now from the given question we know:
Number of red tiles bought is 25 more than the number of beige tiles.
So
 R = 25 + B
Number of navy blue tiles bought is 3 times that of the number of beige tile bought
So
N = 3B
We already know that the total number of tiles bought is 435
Hence
B + R + N = 435
B + (25 + B) + 3B = 435
5B + 25 = 435
5B = 435 -25
5B = 410
B = 82
R = 25 + B
   = 25 + 82
   = 107
N = 3B
   = 3 * 82
   = 246
So the number of Beige tiles  bought by Susan = 82
The number of red tiles bought by Susan = 107
The number of navy-blue tiles bought by Susan = 246
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Step-by-step explanation:

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Both (-2,6) and (4,12) are solutions to the system.

Step-by-step explanation:

In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.

Step 1: Plug (-2,6) into y=x+8

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The solution verifies the equation.

Step 2: Plug (-2,6) into 2y=x^2 + 8

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The solution verifies both equations. Therefore, (-2,6) is a solution to this system.

Now we must check if the second point is also valid.

Step 3: Plug (4,12) into y=x+8

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Step 4: Plug (4,12) into 2y=x^2 + 8

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The solution verifies both equations. Therefore, (4,12) is another solution to this system.

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Answer:

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Eay peasy

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I have attached graph below


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