Question

3/5.a=2/3.b=1/2.c find a:b:c

Answer 1

$\text {ratio = } \dfrac{3}{5}a = \dfrac{2}{3}b =\dfrac{1}{2}c$

Write a in term on b:

$\dfrac{3}{5}a = \dfrac{2}{3}b$

Multiply by 15 through:

$9a = 10b$

Divide by 9 through:

$a = \dfrac{10}{9} b$

Write c in term of b:

$\dfrac{1}{2}c =\dfrac{2}{3}b$

Multiply by 6 through:

$3c:4b$

Divide by 3 through:

$c : \dfrac{4}{3}b$

Find a : b : c

$\text {ratio of a : b : c} = \dfrac{10}{9} b : b : \dfrac{4}{3} b$

Multiply by 9 through:

$\text {ratio of a : b : c} = 10b : 9b : 12b$

Divide by b:

$\text {ratio of a : b : c} = 10 : 9 : 12$

Answer: 10 : 9 : 12

Answer 2

Bonjour!!

Hope it helps!
@charlie16.