If 10% of a number is 36 and 55% of the same number is 198, find 45% of that number.

9514 1404 393

  162

Step-by-step explanation:

There are many ways to work this. Perhaps the simplest is to recognize that 45% of the number is the difference between 55% of it and 10% of it.

  0.55n -0.10n = 0.45n

  198 -36 = 0.45n = 162

45% of the number is 162.

If you like, you can find the number as ...

  0.10n = 36

  n = 36/0.10 = 360

Then you can verify (if you like), that 55% of it is 198:

  0.55(360) = 198 . . . . true

Finally, you can figure 45% of it:

  0.45(360) = 162

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Using proportions, you can determine the number to be ...

  36/0.10 = n/0.45

  n = 0.45(36/0.10) = 4.5(36) = 162

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )

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