Question

How to find A:B:C IF A:B=4:5 AND B:C=3:10

Answer 1

HERE IS YOUR ANSWER..⬇⬇

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$\underline{SOLUTION}$ ➡

$Given \:, \\ \\ \\ A : B \: = 4 :5 \\ \\ = > \frac{A}{B} = \frac{4}{5} \\ \\ = > \frac{A}{B} = \frac{4 \times 3}{5 \times 3} \\ \\ = > \frac{A}{B} = \frac{12}{15} \\ \\ = > A : B \: = 12 : 15 \: - - - - - > (1) \\ \\ \\ Again ,\\ \\ B : C = 3 : 10 \\ \\ = > \frac{B}{C} = \frac{3}{10} \\ \\ = > \frac{B}{C} = \frac{3 \times 5}{10 \times 5} \\ \\ = > \frac{B}{C} = \frac{15}{50} \\ \\ = > B : C \: = 15 : 50 \: - - - - - > (2) \\ \\ \\ From \: (1) \: and \: (2), \: \: We \: get \:, \\ \\ A : B : C \: = 12 : 15 : 50$

$\underline{ANSWER}$ ➡

$A : B : C \: = 12: 15:50$
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Answer 2

Step-by-step explanation:

A : B = 4 : 5 = 4/5 : 1 and B : C = 3 : 10 = 3/3 : 10/3 = 1 : 10/3

So, A : B : C = 4/5 : 1 : 10/3

Multiplying all the terms by 15, we get

A : B : C = 4/5 × 15 : 1 × 15 : 10/3 × 15 = 12 : 15 : 50

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