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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

Verified Answer :

calculista

Answer:

The system of equations is the option A

\(x+y=280\)

\(y=4x\)

Jenna bought \(56\) parrot fish and \(224\) trigger fish

Step-by-step explanation:

Let

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

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

we know that

\(x+y=280\) -----> equation A

\(y=4x\) ------> equation B

The answer Part 1) is the option A

Substitute equation B in equation A

\(x+4x=280\)

Solve for x

\(5x=280\)

\(x=56\)

Find the value of y

\(y=4x\)

\(y=4*56=224\)

therefore

The answer part 2) is

Jenna bought \(56\) parrot fish and \(224\) trigger fish

emmawatsin

Answer:

{x−y=280y=4x

Step-by-step explanation:

i took the quiz

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