Consider the Q and A. Q: Wally gives 3/4 of his 400 tickets to his two friends Jensen and Finley, who share the tickets in a ratio of 4:11. How many tickets does Finley get?
A: 220
What is the step-by-step reasoning process?
Step-by-step reasoning process: Wally gives his friends 3 / 4 * 400 = 300 tickets to share. The total ratio that represents the tickets that Jensen and Finley share is 4 + 11 = 15. From the total ratio, the fraction that represents the share that Finley got is 11 / 15, and since he shared with Jensen 300 tickets, he got 11 / 15 * 300 = 220 tickets.

Consider the Q and A. Q: Anthony keeps a bottle of vinegar in his cupboard for 2 years. Each year 20% of the vinegar evaporates. What percent of the vinegar is left after 2 years?
A: 64
What is the step-by-step reasoning process?
Step-by-step reasoning process: First find what percent of the vinegar is still in the bottle after each year: 100% - 20% = 80%. Then multiply the amount of vinegar left after one year by the percentage left after each year to find how much is left after 2 years: 80% * 80% = 64%.

Consider the Q and A. Q: Greg's PPO algorithm obtained 90% of the possible reward on the CoinRun environment. CoinRun's maximum reward is half as much as the maximum ProcGen reward of 240. How much reward did Greg's PPO algorithm get?
A: 108
What is the step-by-step reasoning process?
Step-by-step reasoning process: Half of much as ProcGen's maximum reward is 240 / 2 = 120 reward. 90% of CoinRun's maximum reward is 120 * .9 = 108 reward.

Consider the Q and A. Q: Lily has 5 lottery tickets to sell. She sells the first ticket for $1. She then sells each successive ticket for a dollar more than the previous ticket. She plans to keep a $4 profit and give the remaining money as the prize. How much money will the winner of the lottery receive?
A: 11
What is the step-by-step reasoning process?
Step-by-step reasoning process:
The second ticket sold will cost $1 + $1 = $2. The third ticket sold will cost $2 + $1 = $3. The fourth ticket sold will cost $3 + $1 = $4. The fifth ticket sold will cost $4 + $1 = $5. The total money collected is $1 + $2 + $3 + $4 + $5 = $15. After taking profit, the total prize money will be $15 - $4 = $11.