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Which system of equations models the problem if x represents the number of parrotfish Jenna bought and y represents the number of triggerfish she bought?

Jenna bought 280 tropical fish for a museum display. She bought 4 times as many triggerfish as parrotfish. How many of each type of fish did she buy?

A. {x+y=280
{y=4x

B.{x−y=280
{y=4x

C.{x+y=4
{y=280x

D.{x+4y=280
{y=4x

Respuesta :

calculista

Answer:

The system of equations is the option A

[tex]x+y=280[/tex]

[tex]y=4x[/tex]

Jenna bought [tex]56[/tex] parrot fish and [tex]224[/tex] trigger fish

Step-by-step explanation:

Let

x-----> the number of parrot fish

y-----> the number of trigger fish

we know that

[tex]x+y=280[/tex] -----> equation A

[tex]y=4x[/tex] ------> equation B

The answer Part 1) is the option A

Substitute equation B in equation A

[tex]x+4x=280[/tex]

Solve for x

[tex]5x=280[/tex]

[tex]x=56[/tex]

Find the value of y

[tex]y=4x[/tex]

[tex]y=4*56=224[/tex]

therefore

The answer part 2) is

Jenna bought [tex]56[/tex] parrot fish and [tex]224[/tex] trigger fish

emmawatsin

Answer:

{x−y=280y=4x

Step-by-step explanation:

i took the quiz

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