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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-th




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.
$$ \\ $$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.
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
$${price}\:{of}\:{a}\:{guppy}:\:{g}\:{dollors} \\ $$$${price}\:{of}\:{a}\:{plagy}:\:{p}\:{dollors} \\ $$$$\:\:\:\:\:\mathrm{3}{g}+\mathrm{2}{p}=\mathrm{13}.\mathrm{95}…..\left({i}\right) \\ $$$$\:\:\:\:\mathrm{3}{g}+\mathrm{4}{p}=\mathrm{18}.\mathrm{33}…..\left({ii}\right) \\ $$$$\left({ii}\right)−\left({i}\right):\:\:\mathrm{2}{p}=\mathrm{4}.\mathrm{38}\Rightarrow{p}=\$\mathrm{2}.\mathrm{19} \\ $$$$\mathrm{3}{g}+\mathrm{4}.\mathrm{38}=\mathrm{13}.\mathrm{95}\Rightarrow{g}=\$\mathrm{3}.\mathrm{19} \\ $$

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