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Ellen bought new fish for her home aquarium. She bought 4 Turquoise Guppies and 3 Sunburst Tetra GLO Fish and spent a total of $41.73. Danielle bought 3 Turqoise Guppies and 5 Sunburst Tetra GLO Fish for a total of $56.02. How much was one Turquoise Guppy?

 Mar 3, 2020
 #1
avatar+21725 
+1

Given:

4 t  + 3s = 41.73     and

3 t + 5 s = 56.02           we want to find  t , turquoise guppy price, so eliminate 's'

                                     multiply second equaion by - 3/5 to get

-9/5 t  - 3s = - 33.612    and add to the first equation to get

 

11/5 t = 8.118

t = $ 3.69   each

 Mar 3, 2020
 #2
avatar+24 
+1

You can multiply Danielle's amount by 4, so she has 12 TG's and 20 STGLO Fist for 224.08 dollars. Then, you can multiply Ellen's fish so she has 12 TG's and 9 STGLO Fish for 125.19 dollars. Then, you subtract them and the TG fish cancel out and you have 11 STGLO Fish for 98.89 dollars. Then you find that one STGLO Fish is 8.99 dollars by dividing it by 11. After that, u plug that into Ellen's equation by substituting the STGLO Fish with 8.99 each STGLO Fish there is. This makes the equation 4 TG  + $26.97 = $41.73. Subtract 26.97 from both sides and you get 4TG = $14.76. Divide both sides by 4 and u get 3.69 a Turquoise Guppy. The answer is 3.69 a Turquoise Guppy. Hope I helped. :)

 Mar 3, 2020

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