Question

2a:3b=5:6 and 3b:2c=36:15 then find a:c

Answer 1

Answer:

$\frac{2a}{3b} = \frac{5}{6}$

$3b = \frac{12a}{5}$

In next Equation

$\frac{3b}{2c} = \frac{36}{15}$

$3b = \frac{72c}{15}$

Substituting the values of 3b we get,

$\frac{12a}{5} = \frac{72c}{15}$

Then:

$\frac{a}{c} = \frac{2}{1}$

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Answer 2

The ratio of  a:c would be $10:5=2:1$

Step-by-step explanation:

Since we have given that

$2a:3b=5:6$

and

$3b:2c=36:15$

So, it becomes,

$\dfrac{2a}{3b}=\dfrac{5}{6}\\\\\dfrac{a}{b}=\dfrac{5}{4}$

And

$\dfrac{3b}{2c}=\dfrac{36}{15}\\\\\dfrac{b}{c}=\dfrac{36\times 2}{15\times 3}\\\\\dfrac{b}{c}=\dfrac{8}{5}$

So, it becomes

a     :    b    :     c

5     :    4    

           8    :     5

----------------------------

40   :   32   :    20

10   :     8    :     5

Hence, the ratio of  a:c would be $10:5=2:1$

#  learn more:

(2a+3b)(2c-3d) =(2a-3b) (2c+3d)

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