Final answer:
To model the problem, we can set up a system of equations: x + y = 360 and y = 8x. Solving this system gives x = 40 and y = 320, so Nancy bought 40 Angel Fish and 320 golden fish.
Step-by-step explanation:
To model the problem, we can set up a system of equations based on the given information:
x represents the number of Angel Fish Nancy bought
y represents the number of golden fish she bought
From the problem, we know that Nancy bought 360 tropical fish. We also know that she bought eight times as many goldfish as angelfish.
Let's set up the equations:
x + y = 360 (equation 1)
y = 8x (equation 2)
To solve the system of equations, we can substitute equation 2 into equation 1:
x + 8x = 360
9x = 360
x = 40
Now, substitute the value of x back into equation 2 to find y:
y = 8(40)
y = 320
Therefore, Nancy bought 40 Angel Fish and 320 golden fish.