find A:B:C when ;
A:B = 1/2 : 1/3 and B:C = 1/4:1/5
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Answer:
A:B:C = 15:12:14
Step-by-step explanation:
A:B=
4
1
:
5
1
/* Multiply each term by 20, we get
A : B = \frac{20}{4} : \frac{20}{5}= 5:4 \:--(1)A:B=
4
20
:
5
20
=5:4−−(1)
B : C = \frac{1}{7} : \frac{1}{6}B:C=
7
1
:
6
1
/* Multiply each term by 42, we get
B : C = \frac{42}{7} : \frac{42}{6}= 6 :7 \:--(2)B:C=
7
42
:
6
42
=6:7−−(2)
$$\begin{lgathered}Now , \: multiply \: equation \: (1) \:by \: 3\\and \: equation \: (2) \:by \: 2\: ,we \: get\end{lgathered}$$
$$A : B = 15 : 12 \: ---(3)$$
$$\: \: \: B : C = 12 :
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