Question

160 flowers were distributed among 10 boys and 15 girls such that the ratio of flowers each boy got to the ratio of flowers each girl got is 1:2.Find the total number of flowers the boys got

Answer 1

1/3×160=160/3=53.33/10=approximately and is 5

Answer 2

$\fontsize{18}{10}{\textup{\textbf{Each boy got 4 flowers.}}}$

Step-by-step explanation:

Let each boy got n flowers and each girl got m flowers.

Then, according to the given information, we have

$10n+15m=160\\\\\Rightarrow 2n+3m=32~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

and

$n:m=1:2\\\\\dfrac{n}{m}=\dfrac{1}{2}\\\\\Rightarrow m=2n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Substituting the value of m from equation (ii) in equation (i), we get

$2n+3(2n)=32\\\\\Rightarrow 8n=32\\\\\Rightarrow n=\dfrac{32}{8}\\\\\Rightarrow n=4.$

Thus, the required number of flowers that each boy got is 4.

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Link : https://brainly.in/question/1366284.