There are ten more newborn elephants than baby hippos. If an entire herd starts with 20 elephants and 35 hippos, and the female hippos, whose number is 5/7 of the total number of hippos, give birth to 5 new baby hippos each, find the number of animals that are there altogether?
Thoughts? Step-by-step reasoning:
The total number of female hippos is 5 / 7 * 35 = 25. If each new hippo gives birth to 5 new baby hippos, the total number of baby hippos will be 5 * 25 = 125. The population of hippos after 125 new ones are born is 125 + 35 = 160. There are ten more newborn elephants than baby hippos, meaning there are 125 + 10 = 135 new baby elephants. The population of elephants is 135 + 20 = 155. Altogether, there are 155 + 160 = 315 animals.
Thus, the answer is 315.