On which day is the ratio of women higher in …

Business Questions

On which day is the ratio of women higher in the yoga class, Tuesday or Thursday?

Short Answer

The analysis of yoga class attendance shows that the ratio of men to women on Tuesday is 1:6, while on Thursday it is 2:11. When converted to fractions and compared, it is confirmed that there are more women attending on Thursday, as reflected by the fractions 11/66 for Tuesday and 12/66 for Thursday.

Step-by-Step Solution

Step 1: Understand the Ratios

Start by analyzing the ratios of men to women in the yoga class for both days. On Tuesday, the ratio is 1:6, while on Thursday it is 2:11. This means that there are significantly more women participating in the class compared to men on both days, but we need to quantify this by converting the ratios into fractions.

Step 2: Convert Ratios into Fractions

Now, convert the given ratios into fractions for easier comparison. For Tuesday, the fraction becomes 1/6 and for Thursday, it is 2/11. To compare these fractions accurately, we must equalize their denominators by finding the least common multiple (LCM) of the denominators, which is 66 in this case.

  • Tuesday fraction: 1 ‚àöo 11 / 6 ‚àöo 11 = 11/66
  • Thursday fraction: 2 ‚àöo 6 / 11 ‚àöo 6 = 12/66

Step 3: Compare the Fractions

With both fractions converted to have the same denominator, we can now compare them. The fraction for Tuesday is 11/66 and for Thursday, it is 12/66. Since 11 is less than 12, this indicates there are more women present in the yoga class on Thursday compared to Tuesday, confirming that the ratio of women is indeed higher on Tuesdays.

Related Concepts

Ratio

A relationship between two quantities, usually expressed as a fraction or a comparison such as “1:6,” showing the relative sizes of two or more values.

Fraction

A numerical representation of a part of a whole, expressed in the form of a numerator and a denominator, such as 1/6 or 2/11.

Least Common Multiple (Lcm)

The smallest positive integer that is a multiple of two or more integers, used in the context of fractions to find a common denominator for comparison.

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