Hello Everybody,
I wanted to split a margin (say, 15%) evenly between a number (say, 3,000) so that the same value is split above and below 3,000 and the lower number is 15% lower than the higher number. I think I've done this right but wanted to ask the smart folks here just to be sure:
If x = the distance between 3,000 and the topside of the 15% margin, then x=3,000+x. Since 0.85(3,000+x)=3,000-x, we solve for x:
= 0.85(3,000+x) = 3,000-x
= 2,550+0.85x=3,000-x
= x+0.85x=3,000-2,550
= x(1+0.85)=450
= 1.85x=450
= x=450/1.85
= x=243.2432
Confirming:
0.85*3,243.2432 = 3,000-243.2432 [?]
2,756.75 = 2,756.75
Is this correct? If so, is it the best way to go about it. The reason I ask is that, when I tried it the first time, I took 15% of 3,000 (.15*3,000) = 450 and thought I could split 450 above and below 3,000, or between 3,225 and 2,775. But then I found that 0.85*3,225 = 2,741.25, so 2,775 is not 15% below 3,225. Drawing a picture helped me visualize it and led me to the above solution. I wonder if I went about it right?
Many thanks
I wanted to split a margin (say, 15%) evenly between a number (say, 3,000) so that the same value is split above and below 3,000 and the lower number is 15% lower than the higher number. I think I've done this right but wanted to ask the smart folks here just to be sure:
If x = the distance between 3,000 and the topside of the 15% margin, then x=3,000+x. Since 0.85(3,000+x)=3,000-x, we solve for x:
= 0.85(3,000+x) = 3,000-x
= 2,550+0.85x=3,000-x
= x+0.85x=3,000-2,550
= x(1+0.85)=450
= 1.85x=450
= x=450/1.85
= x=243.2432
Confirming:
0.85*3,243.2432 = 3,000-243.2432 [?]
2,756.75 = 2,756.75
Is this correct? If so, is it the best way to go about it. The reason I ask is that, when I tried it the first time, I took 15% of 3,000 (.15*3,000) = 450 and thought I could split 450 above and below 3,000, or between 3,225 and 2,775. But then I found that 0.85*3,225 = 2,741.25, so 2,775 is not 15% below 3,225. Drawing a picture helped me visualize it and led me to the above solution. I wonder if I went about it right?
Many thanks
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