Question

The yoga class meets twice a week.


On Tuesdays, the ratio of men to women is 1:6.


On Thursdays, the ratio of men to women is 2:11.

On which day the ratio of women higher at the yoga class?

Answer 1

We can write ratios in fraction form
1:6 = 1/6
2:11 = 2/11
Therefore we can expand the fractions so that the bottom number will be the same
1/6 = 11/66
2/11 = 12/66
11 is less than 12, which means there's less men on tuesday.
Therfore on tuesday there should be more women.

Answer 2

The ratio of women would be higher on Tuesdays in the yoga class. It is achieved by analyzing the ratios of Tuesday and Thursday by first converting them into fractions for evaluating the values.

Given information:

The ratio of men to women on Tuesday is 1:6.

The ratio of men to women on Thursday is 2:11.

Firstly, convert the ratios into fractions. Thus, the fraction on Tuesday would be, $\frac{1}{6}$ and on Thursday would be, $\frac{2}{11}$.

Now, we have to equalize the denominator of both fractions above. To equalize the denominator of the fractions in operation the method most commonly used is by taking the least common multiple of the denominators. Hence, the LCM of 6 and 11 is 66.

Therefore the fraction for Tuesday would be;

$\frac{1*11}{6*11} \\=\frac{11}{66}$

Similarly, the fraction for Thursday would be;

$\frac{2*6}{11*6} \\=\frac{12}{66}$

Make sure to not only multiply the bases of fractions but the nominators too in order to balance the fractions. Hence, by comparing the fraction on Tuesday there would be more women as 11 is less than 12.

Learn more about ratios here;

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