Question

m:n=2:3then3m+5n/6m-n

Answer 1

GIVEN:m/n = 2/3. m=2n/3

TO FIND;3m+5n/6m-n.-----(1)

SOLUTION;
substitutem=2n/3 in (1)..,,

=3(2n/3) + 5n / 6(2n/3) - n

=2n+5n / 2(2n)-n

=7n / 4n-n

=7n/3n

=7/3

Answer 2

Concept: The ratio is a comparison of two quantities of the same units that shows how much of one quantity is contained in the other.

Given: m:n = 2:3

To find: $\frac{3m + 5n}{6m - n}$

Solution:

As it is given in the question that m:n = 2:3, which means

$\frac{m}{n} = \frac{2}{3}$

Therefore, $m = \frac{2n}{3}$

Now. substituting the value of m in $\frac{3m + 5n}{6m - n}$, we get

$\frac{3(\frac{2n}{3}) + 5n }{6(\frac{2n}{3}) - n }$

$\frac{2n + 5n}{4n - n}$

$\frac{7n}{3n}$

$\frac{7}{3}$

Hence, the value of $\frac{3m + 5n}{6m - n}$ is $\frac{7}{3}$.

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