Q: In a compound, the number of cats is 20% less than the number of dogs. There are also twice as many frogs as the number of dogs in the compound. Calculate the total number of animals present in the compound if there are 160 frogs.
A: There are twice as many frogs as dogs in the compound, meaning there are 160 / 2 = 80 dogs. The total number of frogs and dogs in the compound is 80 + 160 = 240. The number of cats is less than 20% of the number of dogs, which means there are 20 / 100 * 80 = 16 dogs more than the number of cats. Therefore, the number of cats is 80 - 16 = 64 cats. The total number of animals in the compound is 64 cats + 240 dogs and frogs = 304 animals. The answer is 304.
Question: Antoine is having a dinner party and his butcher recommends 1/2 pound of meat per person. If he's inviting 6 people over and the beef tenderloin is $15.00 a pound, how much will this cost him?
Answer: He's inviting 6 people over and needs 1 / 2 pound of meat for each so that's 6 * .5 = 3 pounds of meat. The beef tenderloin is $15.00 a pound and he needs 3 pounds so that's 15 * 3 = $45.00 for dinner. The answer is 45.
[Question]Ross takes 17 breaths per minute by inhaling 5/9 liter of air to his lungs. What is the volume of air inhaled in 24 hours?
[Answer]We have 60 minutes per hour. So, in 24 hours we have 60 * 24 = 1440 minutes. So, the volume of air Ross inhaled in 24 hours is: 17 breaths / minute * 5 / 9 L / breath * 1440 minutes = 122400 / 9 = 13600 liters. The volume of air inhaled is 13600 liters. The answer is 13600.
Q: If there are four times as many red crayons as blue crayons in a box, and there are 3 blue crayons. How many crayons total are in the box?
A: Red crayons: 4(3) = 12. Total crayons: 12 + 3 = 15 crayons. The answer is 15.
Question: Adam teaches 50 students a year. How many students will Adam teach in 10 years if in the first year he only teaches 40 students?
Answer: Adam will teach 50 * 9 = 450 students in 9 years. So, in 10 year Adam will teach 450 + 40 = 490 students. The answer is 490.
Q: Mark has a garden with flowers. He planted plants of three different colors in it. Ten of them are yellow, and there are 80% more of those in purple. There are only 25% as many green flowers as there are yellow and purple flowers. How many flowers does Mark have in his garden?
A:
There are 80 / 100 * 10 = 8 more purple flowers than yellow flowers. So in Mark's garden, there are 10 + 8 = 18 purple flowers. Purple and yellow flowers sum up to 10 + 18 = 28 flowers. That means in Mark's garden there are 25 / 100 * 28 = 7 green flowers. So in total Mark has 28 + 7 = 35 plants in his garden. The answer is 35.