Question

In what proportion a salt at rs 3.2 per kg be mixed with salt at 2.9 per kg so that the mixture will be worth rs 3.08 per kg?​

Answer 1

Answer:

3/2

Step-by-step explanation:

ler ratio be m:n,

then ,

(3.2m + 2.9n)/(m+n) = 3.08

3.2m + 2.9n = 3.08m + 3.08n

0.12m = 0.18n

m/n = 0.18/0.12

m/n = 18/12 (multiplying numerator and denominator by 100)

m/n = 3/2

Answer 2

Concept

Proportions are commonly referred to as parts, parts, or numbers considered in comparison to the whole. The definition of ratio says that if two ratios are equal, they are proportional. This is an equation or statement used to express the equality of two ratios or fractions.

Given

We have given a salt of 3.2 per kg mixed with 2.9 per kg salt.

Find

We are asked to determine the proportion of salt per kg so that the resulting mixture will be 3.08 per kg.

Solution

Let x be the salt of 3.2\kg.

Let y be salt of 2.9\kg

Adding up these specific ratios yields 3.08 \kg worth of salt.

$\frac{3.2x+2.9y}{x+y} =3.08\\\\3.2x+2.9y=3.08x+3.08y\\\\0.12x=0.18y\\\\\\frac{x}{y} =\frac{18}{12} \\\\\frac{x}{y} =\frac{3}{2}$

They must be mixed in the ratio of 3:2 .

Therefore, the proportion of salt will be 3:2 .

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