At a certain college, the ratio of freshmen to
sophomores is 2:3, and the ratio of sophomores to
juniors is 5:6. If the ratio of juniors to seniors is
3:5, what is the ratio of freshmen to seniors?
Answers
Answered by
2
Answer:
1 : 3
Step-by-step explanation:
Given,
sophomores
freshmen
=
3
2
=
15
10
------ (i)
juniors
sophomores
=
6
5
=
18
15
------ (ii)
seniors
juniors
=
5
3
=
30
18
------ (iii)
(i)×(ii) gives,
sophomores
freshmen
×
juniors
sophomores
=
15
10
×
18
15
juniors
freshmen
=
18
10
------ (iv)
(iv)×(iii) gives,
juniors
freshmen
×
seniors
juniors
=
18
10
×
30
18
juniors
freshmen
=
30
10
=
3
1
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