Question

A fabric cotton and synthetic fibres are in the ratio 2 :3 by weight. If the weight of the cotton fibres is 30 grams. Express this statement as a linear equation in two variables.​

Answer 1

Answer:

3x-2y=30 is the answer .

hope it helps you !!!!!!! .

Answer 2

Given,

The ratio of cotton to fibre$\[ = 2:3\]$

The weight of cotton in grams$\[ = 30\]$

Solution,

Assume that the weight of the synthetic fibre is x gm

Therefore,

$\[\begin{array}{l} \Rightarrow \frac{{30}}{x} = \frac{2}{3}\\ \Rightarrow x = \frac{{30 \times 3}}{2}\\ \Rightarrow x = 15 \times 3\\ \Rightarrow x = 45{\rm{gm}}\end{array}\]$

Hence, the weight of the fibre is $\[45{\rm{gm}}{\rm{.}}\]$