Question: Diana wants to buy winter clothes for all the 40 children at her local children's home. The home has five times as many teenagers as toddlers. There are also some newborns. If there are 6 toddlers, for how many newborns will Diana be shopping?
Answer: There are 6 toddlers, which means that the children's home has 5 teenagers / toddler * 6 toddlers = 30 teenagers. Diana will be shopping for 40 children - 30 teenagers - 6 toddlers = 4 newborns. The answer is 4.

Question: John buys game loot boxes for $5 each. The average value of items inside is $3.5. He spends $40 on loot boxes. What is the average amount he lost?
Answer: He bought 40 / 5 = 8 boxes. He loses an average of 5 - 3.5 = $1.50 per box. So he loses an average of 1.5 * 8 = $12. The answer is 12.

Question: The teacher told the class that if they averaged at least 75% on their final exam, they could have a pizza party. Everyone took the exam on Monday, except for William, who was allowed to take it on Tuesday. If there are 30 people in the class, and the average before he took the test was a 74%, what score does he have to get to make sure they get to have a pizza party?
Answer: Let x be the score that William needs to achieve. Since there are 30 people in the class, there are 30 - 1 = 29 people without him. Since their average was a 74%, this means that (29 * 74 + x) / 30 > = 75. Thus, 29 * 74 + x > = 30 * 75. Thus, 29 * 74 + x > = 2250. Thus, 2146 + x > = 2250. Thus, x > = 2250 - 2146. Thus, x > = 94. The answer is 94.

Question: 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?
Answer:
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. The answer is 220.