9514 1404 393
Answer:
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.
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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
