Question: An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?
Answer with step-by-step thinking: 1 / 3rd of the workers before the new hires were women because 1 - (2 / 3) = 1 / 3. There were 30 women working for the company before the new hires. There are now 40 women working for the company because 30 + 10 = 40. There are 100 people working for the company because 90 + 10 = 100. The proportion of women working in the company is .4 because 40 / 100 = .4. The percentage of women working in the company is now 40 because .4 x 100 = 40.
So the answer is 40.

Question: A teacher is making packed lunches for a field trip. Each student needs 2 sandwiches, and will travel in a group with 5 other students. There are a total of 5 groups. How many pieces of bread will the teacher need to make enough sandwiches for all the students?
Answer with step-by-step thinking: If each student travels with 5 others, then groups are made up of 5 + 1 = 6 students. This means there are a total of 5 groups * 6 students = 30 students in the class. Each student needs 2 sandwiches, which means the teacher will make 30 students * 2 sandwiches per student = 60 sandwiches in total. Therefore, the teachers will need 60 sandwiches * 2 pieces of bread per sandwich = 120 pieces of bread.
So the answer is 120.

Question: Students at Highridge High earn 2 points for each correct answer during a quiz bowl If a student correctly answers all the questions in a round, the student is awarded an additional 4 point bonus. They played a total of five rounds each consisting of five questions. If James only missed one question, how many points did he get?
Answer with step-by-step thinking:
If James only missed one question in all five rounds of five questions, he correctly answered 5 * 5 - 1 = 24 questions. Before the bonus, James earned 24 correct answers * 2 points / answer = 48 points. Since missing one question would only disqualify him from receiving a bonus in one round, he would earn a bonus for 5 - 1 = 4 rounds. He should expect a bonus of 4 rounds * 4 points / round = 16 points. Including his bonus, James scored a total of 48 + 16 = 64 points.
So the answer is 66.