Question

If 2/3 piece of iron has a mass of 6kg, then what would be the mass 5/6 of the iron piece?
(With full solution).......
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Answer 1

Answer:

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Answer 2

Given:

2/3 piece of iron has a mass of 6kg.

To Find:

The mass 5/6 of the iron piece.?

Solution:

now, let the mass of 5/6 iron piece be x

$\sf⇒\frac{2}{3} : \frac{6}{1} :: \frac{5}{6} : x$

when two quantities are in proportion their product of means = product of extremes.

$\sf: ⟹  \frac{2}{3} \times x = \frac{5} {\cancel{6}} \times \frac {\cancel{6}}{1} \\ \\ \sf: ⟹  \frac{2x}{3} = {5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf: ⟹ 2x = 5 \times 3 \: \: \: \: \: \: \: \: \: \\ \\ \sf: ⟹ 2x = 15 \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf: ⟹ x = \frac{15}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf: ⟹ x =7 \frac{1}{2} kg \: \: \: \: \: \: \: \: \: \: \:$

$\blue{ \underline{ \boxed{ \pink{ \mathfrak{ \therefore \: \frac{5}{6}iron \: piece \: contains 7\frac{1}{2}kg \: mass }}}}}$

hope this helps.!!