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Mathematics : asked on emmahall0826
 11.07.2021

SOMEONE PLEASE HELP!! I've tried this question twice and I just can't seem to get it There are 30 fish in a pond. 9 of the fish are carp. Of the fish that are not carp, 1/3 are sticklebacks and the rest are tench. What is the ratio of carp to sticklebacks to tench in the pond? Give your answer in it's simplest form.

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09.07.2023, solved by verified expert
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Rajat Thapa
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Mathematics, DAV Post Graduate College
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SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04Number of fish that are not carp = Total fish - number of carp fish

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04Since 1/3 of remaining fish which are not carp are sticklebacks , Number of sticklebacks =

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

Now ,

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04Number of tench = Total number of fish - (Number of carp + Number of sticklebacks)

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04Ratio of carp to sticklebacks to tench in the pond =

SOMEONE PLEASE HELP!! I ve tried this question, №18010298, 11.07.2021 22:04

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Mathematics
SOMEONE PLEASE HELP!! I ve tried this question twice and I just can t seem to get it There are 30 fish in a pond. 9 of the fish are carp. Of the fish that are not carp, 1/3 are sticklebacks and the rest are tench. What is the ratio of carp to sticklebacks to tench in the pond? Give your answer in it s simplest form.
Step-by-step answer
P Answered by Specialist

\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:-}}}\\

\longrightarrowNumber 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}

\longrightarrowSince 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 ,

\longrightarrowNumber 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}

\thereforeRatio of carp to sticklebacks to tench in the pond =

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

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