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?

{x+y=4 y=280x
{x+y=280 y=4x
{x+4y=280 y=4x
{x−y=280 y=4x

Answer 1

second option

Explanation:

Answer 2

2

Explanation:

As she bought 4 times as many tiggerfish (y) as parrotfish (x) you need an equation that shows this relation:

y=4x.

So you can eliminate option 1.

Then you know that she bought, in total, 280 tropical fish. This means that all the tiggerfish and parrotfish together must sum 280:

x + y = 280.

The only option, between the remaining, with this equation is option 2.

So, option 2 is the correct.