Question

SOMEONE PLEASE HELP!! I've tried this question twice and I just can't seem to get it

Answer 1

$\underline{\underline{\large\bf{Given:-}}}$

$\red{\leadsto}\:$$\textsf{Total Number of fish }$$\sf = 30$

$\red{\leadsto}\:$$\textsf{ Number of carp fish }$$\sf = 9$

$\underline{\underline{\large\bf{To Find:-}}}$

$\orange{\leadsto}\:$$\textsf{ Ratio of carp to sticklebacks to tench }$$\sf in \:the \:pond$

$\underline{\underline{\large\bf{Solution:-}}}$

$\longrightarrow$Number of fish that are not carp = Total fish - number of carp fish

$\begin{gathered}\implies\quad \sf 30-9 \\\end{gathered}$

$\begin{gathered}\implies\quad \sf 21 \\\end{gathered}$

$\longrightarrow$Since 1/3 of remaining fish which are not carp are sticklebacks , Number of sticklebacks =

$\begin{gathered}\implies\quad \sf \frac{1}{3} \times number \:of \:remaining \: fish\\\end{gathered}$

$\begin{gathered}\implies\quad \sf \frac{1}{3}\times 21 \\\end{gathered}$

$\begin{gathered}\implies\quad \sf 7 \\\end{gathered}$

Now ,

$\longrightarrow$Number of tench = Total number of fish - (Number of carp + Number of sticklebacks)

$\begin{gathered}\implies\quad \sf 30-(9+7) \\\end{gathered}$

$\begin{gathered}\implies\quad \sf 30-16\\\end{gathered}$

$\begin{gathered}\implies\quad \sf 14\\\end{gathered}$

$\therefore$Ratio of carp to sticklebacks to tench in the pond =

$\begin{gathered}\quad\quad \boxed{\sf {9: 7:14}} \\\end{gathered}$