emi79999
emi79999 emi79999
  • 18-03-2022
  • Mathematics
contestada

3/4 of a number is greater than 3/16 of the same number by 81. What is 1/2 of the number?

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sqdancefan
sqdancefan sqdancefan
  • 23-03-2022

Answer:

  72

Step-by-step explanation:

The given word description can be translated to math symbols this way, when x represents the number:

  3/4x -3/16x = 81

Multiplying by 16 gives ...

  12x -3x = 1296

  9x = 1296 . . . . . . simplify

We want to find the value of half the number, so we can divide this by 18 to get ...

  x/2 = 1296/18 = 72

Half the number is 72.

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