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if 66 2/3 % of 75% of one –eighth of a certain number is 179 ,then 33 1/3% of three-fourth of that number is?

Question

if 66 2/3 % of 75% of one –eighth of a certain number is 179 ,then 33 1/3% of three-fourth of that number is?

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Solution

Sure, let's solve this step by step:

  1. First, let's find out what 66 2/3 % of 75% of one-eighth of a number is. We know that this is equal to 179.

  2. Convert the percentages to fractions: 66 2/3 % is 2/3, 75% is 3/4, and one-eighth is 1/8.

  3. So, we have (2/3) * (3/4) * (1/8) * x = 179, where x is the number we're trying to find.

  4. Simplify the left side of the equation: (2/3) * (3/4) * (1/8) = 1/16. So, we have (1/16) * x = 179.

  5. Solve for x: x = 179 * 16 = 2864.

  6. Now, we need to find out what 33 1/3% of three-fourth of that number is.

  7. Convert the percentages to fractions: 33 1/3 % is 1/3 and three-fourth is 3/4.

  8. So, we have (1/3) * (3/4) * x.

  9. Substitute x = 2864 into the equation: (1/3) * (3/4) * 2864 = 716.

So, 33 1/3% of three-fourth of the number is 716.

This problem has been solved

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