Question

An octopus has 8 tentacles and 1 head. A jellyfish has 20 tentacles and no head. A cow has 4 legs and 1 head. A farmer Brown has a total of 17 heads, 196 tentacles and 20 legs. So how many animals does she have
(a) 20. (b) 22. (c) 30. (d) none of these

Answer 1

Answer:

Step-by-step explanation:

Since the cows are the only animals with legs, we can determine the 20 legs come from

20 ÷ 4 = 5 cows. Only cows and octopi have heads, so the 17 heads come from the

5 cows and 17 − 5 = 12 octopi. Finally, the 12 octopi have a total of 12 × 8 = 96 tentacles.

So the other 196 − 96 = 100 tentacles come from the 100 ÷ 20 = 5 jellyfish. Thus there are

5 + 12 + 5 = 22 animals