Select the correct answerif 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?Options537787.6859.2716

Let's solve this step by step:

1. First, we need to find the certain number. According to the problem, 66 2/3 % of 75% of one-eighth of a certain number is 179.

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

3. Set up the equation: (2/3) * (3/4) * (1/8) * x = 179, where x is the certain number.

4. Solve for x: x = 179 / [(2/3) * (3/4) * (1/8)] = 3584.

5. Now, we need to find 33 1/3% of three-fourth of that number. Convert the percentages to fractions: 33 1/3 % = 1/3, and three-fourth = 3/4.

6. Set up the equation: (1/3) * (3/4) * x = ?, where x is the certain number we found in step 4.

7. Solve for ?: ? = (1/3) * (3/4) * 3584 = 896.

So, the correct answer is 896.