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?


A.
x + y = 6
y = 420x

B.
x + 6y = 420
y = 6x

C.
x – y = 420
y = 6x

D.
x + y = 420
y = 6x

Answer 1

Given:
420 tropical fishes
angel fish = x
parrot fish = 6x

x + y = 420
y = 6x          Choice D.

x + y = 420
y = 6x 

x + 6x = 420 
7x = 420 
x = 420 / 7
x = 60 number of angelfish

y = 6x
y = 6(60)
y = 360 number of parrot fish