The ratio of men to women in the Snyder community choir is 4 to 7. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir? Choose the most appropriate option.
A) 20
B) 24
C) 28
D) 32
E) 34
This question has a number of patterns in it that we can take advantage of. We can also TEST THE ANSWERS (but we can actually eliminate most of the answer choices rather quickly.   We're told that the ratio of the Men to Women in the Snyder choir is 4 to 7, so the number of men MUST be a multiple of 4 and the number of women MUST be a multiple of 4 The question asks how many WOMEN are in the SNYDER choir, so the answer MUST be a multiple of 7. We can eliminate AnswersA, B, D and E (since they're NOT multiples of 7   Answer 28
<result>C</result>
The ratio of men to women in the Snyder community choir is 4 to 7. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir?