Answer:
The 29th cave has 28 bats.
Step-by-step explanation:
It is given that any 7 caves in a row contain 77 bats.
So, out of the 30 caves, let us start counting from the second cave till the 29th cave(counting 28 caves).
7 times 4 gives us 28, which has [tex]77\times4=308[/tex] bats. We have not counted the first and last cave.
Let the number of bats in the last cave be [tex]x[/tex], then according to the question:
[tex]7x+x=340-308=32[/tex](First cave has 7 times more bats than the last cave)
Hence, [tex]x=4[/tex](number of bats in the 30th cave)
Now we shall again count, but this time from the first cave, leaving out the last 2 caves. So the total number of bats in the first 28 caves is 308 and 32 in the last 2 caves.
So, the number of bats in the 29th cave = 32 - 4 = 28
