Question

Yves bought 420 tropical fish for a museum display. He bought 6 times as many parrotfish as angelfish. How many of each type of fish did he buy?

Which is a system of equations to model the problem if x represents the number of angelfish Yves bought and y represents the number of parrotfish he bought?




x + y = 6
y = 420x

x + 6y = 420
y = 6x

x – y = 420
y = 6x

x + y = 420
y = 6x

Answer 1

1)421x=6
x=70

2)x+6(6x)=420
x+36x=420
37x=420
x=11

3)x-6x=420
5x=420
x=84

4)x+6x=420
7x=420
x=60

Answer 2

Answer: D is the right equation.

Explanation:

Yves total number of fish is 420

x and y represent the number of fish

^ x + y = 420 (we know the equation is an addition form because of the key word ''and'')

Then it says ''he bought 6 times as many parrot-fish (y) AS angelfish (x)

^ y = 6x