9514 1404 393
Answer:
a : b : c = 12 : 10 : 15
Step-by-step explanation:
Given:
5a = 4c
b = (2/3)c
Find:
a : b : c
Solution:
In terms of c, we have ...
a = 4/5c
b = 2/3c
Using a common denominator, these are ...
a = 12/15c ⇒ a/12 = c/15
b = 10/15c ⇒ b/10 = c/15
So, we can write ...
a/12 = b/10 = c/15
If all of these ratios are 1, then the ratios of a : b : c are ...
a : b : c = 12 : 10 : 15
