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

{x−y=280y=4x

Explanation:

i took the quiz

Answer 2

The system of equations is the option A

`x+y=280`

`y=4x`

Jenna bought
`56` parrot fish and
`224` trigger fish

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