Question

At Anthony's High School, the ratio of juniors to seniors is 4 to 3, the ratio of seniors to sophomores is 5 to 4, and the ratio of freshmen to sophomores is 7 to 6. Find the ratio of freshmen to seniors.

• A. $\frac{7}{3}$
• B. $\frac{5}{3}$
• C. $\frac{9}{7}$
• D. $\frac{14}{15}$

Answer 1

The correct option is D $\frac{14}{15}$

Ratio of juniors to seniors $=4:3$

Ratio of senior to sophomores $=5:4$

Ratio of freshmen to sophomores $=7:6$

Ratio of juniors to seniors to sophomores $=20:15:12$

Equivalent ratio of freshmen to sophomores $=14:12$

Ratio of juniors to seniors to sophomores to freshmen $=20:15:12:14$

So, ratio of freshmen to seniors $=14:15$