Question

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

Answer 1

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

Answer 2

Answer:

{x−y=280y=4x

Step-by-step explanation:

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