Question

If a:b=5:6 and b:c= 18:23 , find a:b:c

Answer 1

Answer:

15 : 18 : 23

Step-by-step explanation:

a / b = 5 / 6

b / c = 18 / 23, b = (18)(c) / 23

a / c = (a / b)(b / c) = 15 / 23, a = (15)(c) / 23

a : b : c

= 15 c / 23 : 18 c / 23 : c                (divide common factor c)

= 15 / 23 : 18 / 23 : 1                       (multiply by 23)

= 15 : 18 : 23