Q: 20% of the vets in a state recommend Puppy Kibble. 30% recommend Yummy Dog Kibble. If there are 1000 vets in the state, how many more recommend Yummy Dog Kibble than Puppy Kibble?
A: The number of vets that recommend Puppy Kibble is 1000 * .2 = 200. The number of vets that recommend Yummy Dog Kibble is 1000 * .3 = 300 vets. Thus, 300 - 200 = 100 more vets recommend Yummy Dog Kibble than Puppy Kibble. The answer is 100.
Question: One hundred chips were divided by Ian and Lyle in the ratio 4:6. What percentage of the chips did Lyle have?
Answer: The chips were divided into 4 + 6 = 10 parts. Each part has 100 / 10 = 10 chips. Since Lyle owns 6 parts, then he has 6 x 10 = 60 chips. This is 60 / 100 x 100 = 60% of the entire chips. The answer is 60.
[Question]John has just turned 39. 3 years ago, he was twice as old as James will be in 6 years. If James' older brother is 4 years older than James, how old is James' older brother?
[Answer]John was 39 - 3 = 36 years old 3 years ago. So that means in 6 years James will be 36 / 2 = 18 years old. So right now James is 18 - 6 = 12 years old. So James's older brother is 12 + 4 = 16 years old. The answer is 16.
Q: There are 100 students in class and the ratio of boys to girls is 3:2. How many more boys than girls are there?
A: The class was divided into 3 + 2 = 5 parts. So each part is equal to 100 / 5 = 20 students. Since there are 3 parts for boys, then there are 20 x 3 = 60 boys in class. So there are 100 - 60 = 40 girls in class. Hence, there are 60 - 40 = 20 boys more than girls. The answer is 20.
Question: Mary, Edna, and Lucy are athletes who train every Saturday. Mary ran 3/8 of a 24-kilometer field on one Saturday. Edna ran 2/3 of the distance of Edna, and Lucy ran 5/6 of the distance of Edna. How many more kilometers should Lucy run to cover the same distance as Mary?
Answer: Mary ran 3 / 8 x 24 = 9 kilometers. Edna ran 2 / 3 x 9 = 6 kilometers. Lucy ran 5 / 6 x 6 = 5 kilometers. Lucy should run 9 - 5 = 4 kilometers more. The answer is 4.
Q: Joseph invested $1000 into a hedge fund. The fund promised a yearly interest rate of 10%. If he deposited an additional $100 every month into the account to add to his initial investment of $1000, how much money will he have in the fund after two years?
A:
For the first year, Joseph will have invested $1000 + ($100 * 12) = $2200. The interest calculated for the first year will be $2200 * 10% = $220. The total value of the investment for the first year will be $2200 + $220 = $2420. For the second year, the total invested will be $2420 + ($100 * 12) = $3620. The interest calculated after the second year will be $3620 * 10% = $362. Therefore, Joseph's investment in the mutual fund will be worth $3620 + $362 = $3982. The answer is 3982.