Beth is a scuba diver. She is excavating a sunken ship off the coast of a small Caribbean island and she must remain underwater for long periods. Her primary tank, which she wears when she first enters the water, has enough oxygen to allow her to stay underwater for 2 hours. She also has several 1-hour supplemental tanks that she takes with her as well as stores on the ocean floor so she can change tanks underwater without having to come up to the surface. She will need to be underwater for 8 hours. How many supplemental tanks will she need? Give the rationale and then the answer.
Let's think step by step. For an 8 - hour dive, she will use her 2 - hour primary tanks and will need supplemental tanks for 8 - 2 = 6 additional hours. Since each supplemental tank holds 1 hour of oxygen, for 6 hours she will need 6 / 1 = 6 supplemental tanks.. The answer is: 6.

In a certain school, 2/3 of the male students like to play basketball, but only 1/5 of the female students like to play basketball. What percent of the population of the school do not like to play basketball if the ratio of the male to female students is 3:2 and there are 1000 students? Give the rationale and then the answer.
Let's think step by step. The students are divided into 3 + 2 = 5 parts where 3 parts are for males and 2 parts are for females. Each part represents 1000 / 5 = 200 students. So, there are 3 x 200 = 600 males. And there are 2 x 200 = 400 females. Hence, 600 x 2 / 3 = 400 males play basketball. And 400 x 1 / 5 = 80 females play basketball. A total of 400 + 80 = 480 students play basketball. Therefore, 1000 - 480 = 520 do not like to play basketball. The percentage of the school that do not like to play basketball is 520 / 1000 * 100 = 52.. The answer is: 52.

A small zoo houses a variety of 68 wild animals. After they send a gorilla family of six to a different zoo, they adopt a hippopotamus from another zoo. A while later, an animal rescue contacted them, and the zoo took in three endangered rhinos. Then one of their lionesses gave birth to cubs, and they opened a meerkat exhibit with twice as many meerkats as they had gained lion cubs. The zoo then had 90 animals in all. How many lion cubs were born at the zoo? Give the rationale and then the answer.
Let's think step by step. Let C be the number of lion cubs. There are 2C meerkats in the new exhibit. The zoo sent 4 gorillas away, so they had 68 - 6 = 62 animals left. They adopted a hippopotamus, so they had 62 + 1 = 63 animals. They took in 3 rhinos, so they had 63 + 3 = 66 animals. Thus, they had 90 - 66 = 24 new lion cubs and meerkats. Therefore, they had C + 2C = 3C = 24 new lion cubs as meerkats. Hence, there were C = 24 / 3 = 8 lion cubs born.. The answer is: 8.