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tatyana61 [14]
3 years ago
10

Solve the inequality for x. Show each step of the solution. 16x > 12(2x – 6) – 24

Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0
You want to start this problem by handling the parentheses and distributing the 12.
So 16x > 12(2x - 6) - 24 would become...
So 16x > 24x - 72 - 24
Next you would combine like terms...
So 16x > 24x - 96
Then to get rid of the negative you would add 96 to both sides...
So 16x + 96 > 24x
After that you would subtract 16x from both sides...
96 > 8x
Lastly, divide by 8 to get x.
12 > x

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Now from the given question we know:
Number of red tiles bought is 25 more than the number of beige tiles.
So
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B + R + N = 435
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5B + 25 = 435
5B = 435 -25
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R = 25 + B
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N = 3B
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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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