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Marta brought new fish for her home aquarium. She brought 3 guppies and 2 platies for a total of $13.95. Hank also brought guppies and platies for a total of $18.33. Find the price of a guppy and the price of a platy.

Respuesta :

Idk main math is pretty hard u know

Answer: the price of a guppy is $3.19 and the price of a platy is $2.19

Step-by-step explanation:

Let x represent the price of a guppy.

Let y represent the price of a platy.

Marta brought 3 guppies and 2 platies for a total of $13.95. It means that

3x + 2y = 13.95 - - - - - - - - - - - 1

Hank also bought 3 guppies and 4 platies for a total of $18.33. It means that

3x + 4y = 18.33 - - - - - - - - - - - 2

Subtracting equation 2 from equation 1, it becomes

2y - 4y = 13.95 - 18.33

- 2y = - 4.38

y = - 4.38/ - 2

y = 2.19

Substituting y = 2.19 into equation 1, it becomes

3x + 2 × 2.19 = 13.95

3x + 4.38 = 13.95

3x = 13.95 - 4.38 = 9.57

x = 9.57/3 = 3.19

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