Answer:
All 90 rabbits are white.
Step-by-step explanation:
"112 times as many white rabbits as black rabbits"
112 · Black rabbits = White rabbits
"a cage with 90 rabbits ", "Each rabbit is either black or white."
Black rabbits + White rabbits = 90 rabbits
How many white rabbits are in the cage?
Intuitevely we can see that all the 90 rabbits must be white,
since for 1 black rabbit will be join by 112 white ones.
We can calculate:
112 · Black rabbits = White rabbits
We can substitute the Black rabbits by White rabbits/112
Black rabbits + White rabbits = 90 rabbits
White rabbits/ 112 + White rabbits = 90 rabbits
113 White rabbits /112 = 90 rabbits
White rabbits = 112· 90/113 rabbits
White rabbits = 10080/113 rabbits
White rabbits ≈ 89.2 rabbits
White rabbits ≈ 90 rabbits (if we round up)
