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Nezavi [6.7K]
3 years ago
13

I am thinking of a number. If you take half my number and then add 22 you will get 6 times my number. What is my number? Please

help and show work
Mathematics
1 answer:
allochka39001 [22]3 years ago
5 0

\frac{x}{2}  + 22 = 6 \times x
multiply everything by 2
x + 44 = 12 \times x \\ x - 12 \times x =  - 44 \\  - 11 \times x =  - 44 \\ x =  \frac{ - 44}{ - 11}  \\ x = 4
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If I buy a stereo for $245 and this includes GST of 10%, what is the pre-GST price?
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Answer:  $222.73

===========================================

Work Shown:

x = pre-GST price

10% of x = 0.10x = tax amount

x + 0.10x = 1.10x = post-GST price = 245

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The answer is confirmed.

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