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Question Number 170649 by help12345 last updated on 28/May/22

$$ \\ $$ Marta bought a new fish for her home aquarium. She bought 3 guppies and 2 plates for a total of $13.95. Hank also bought 3 guppies and 4 plates for a total of $18.33. Find the price of a guppy and the price of a platy.\\n

Answered by Rasheed.Sindhi last updated on 28/May/22

price of a guppy: g dollors  price of a plagy: p dollors       3g+2p=13.95.....(i)      3g+4p=18.33.....(ii)  (ii)−(i):  2p=4.38⇒p=$2.19  3g+4.38=13.95⇒g=$3.19

$${price}\:{of}\:{a}\:{guppy}:\:{g}\:{dollors} \\ $$ $${price}\:{of}\:{a}\:{plagy}:\:{p}\:{dollors} \\ $$ $$\:\:\:\:\:\mathrm{3}{g}+\mathrm{2}{p}=\mathrm{13}.\mathrm{95}.....\left({i}\right) \\ $$ $$\:\:\:\:\mathrm{3}{g}+\mathrm{4}{p}=\mathrm{18}.\mathrm{33}.....\left({ii}\right) \\ $$ $$\left({ii}\right)−\left({i}\right):\:\:\mathrm{2}{p}=\mathrm{4}.\mathrm{38}\Rightarrow{\color{mathred}{p}}\color{mathred}{=}\$\mathrm{\color{mathred}{2}}\color{mathred}{.}\mathrm{\color{mathred}{1}\color{mathred}{9}} \\ $$ $$\mathrm{3}{g}+\mathrm{4}.\mathrm{38}=\mathrm{13}.\mathrm{95}\Rightarrow{\color{mathred}{g}}\color{mathred}{=}\$\mathrm{\color{mathred}{3}}\color{mathred}{.}\mathrm{\color{mathred}{1}\color{mathred}{9}} \\ $$

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