[Question]Some friends wanted to make a road trip from New York to Los Angeles. They drove at a constant speed of 62 miles/hour, taking breaks of 30 minutes every 5 hours. Once in the city, they looked for the hotel for 30 minutes. If the trip took around 2,790 miles, how many hours will they have to spend to complete the trip to the hotel?
[Answer]At a constant speed of 62 miles / hour, they will drive 2,790 miles / 62 miles / hour = 45 hours in total. Every 5 hours they take a break, they will take 45 hours / 5 hours / break = 9 breaks. Those breaks will be 9 breaks x 30 minutes / break = 270 minutes in total. In hours, the breaks will be in total 270 minutes ÷ 60 minutes / hour = 4.5 hours. To find the hotel it took them 30 minutes ÷ 60 minutes / hour = 0.5 hours. In total, it will take 45 hours + 4.5 hours + 0.5 hours = 50 hours to complete the trip. The answer is 50.
Q: Harper collected 30% more pieces of Halloween candy than her sister Maggie, who only collected 50 pieces. Neil collected 40% more candy than Harper. How much candy did Neil get on Halloween?
A: Harper collected 30% more than Maggie’s 50 pieces of candy, so she collected .30 * 50 = 15 more pieces of candy. Maggie has 50 pieces and Harper collected 15 more than her, so she has 50 + 15 = 65 pieces of candy. Neil collected 40% more than Harper, who has 65 pieces, so that’s .40 * 65 = 26 more pieces of candy. Harper has 65 pieces and Neil collected 26 more than her, so he has 65 + 26 = 91 pieces of candy. The answer is 91.
Question: There were 30 women and 20 men who attended the party. After few hours, 2/5 of the total number of people left. If 9 men left the party, how many more women stayed at the party than men?
Answer: There were 30 + 20 = 50 attendees at the party. A total of 50 x 2 / 5 = 20 people left the party. Nine of those who left were men while 20 - 9 = 11 of them were women. So, 30 - 11 = 19 women stayed at the party. And 20 - 9 = 11 men stayed at the party. Thus, 19 - 11 = 8 more women than men stayed at the party. The answer is 8.
[Question]An amusement park sells tickets for $3. This week it welcomed 100 people per day but on Saturday it was visited by 200 people and on Sunday by 300. How much money did it make overall in a week?
[Answer]During the weekdays it was visited by 100 * 5 = 500 people. On Sunday and Saturday, it was visited by 200 + 300 = 500 people. In total 500 + 500 = 1000 people visited the park in a week. So it earned 1000 * 3 = 3000 dollars in a week. The answer is 3000.
Q: On national lipstick day, half of the students who attended class wore colored lipstick. Of those students who wore lipstick, one quarter wore red lipstick. There were one-fifth as many students wearing blue lipstick as were wearing red lipstick. If 200 students attended school that day, how many wore blue lipstick?
A: Of 200 students who attended class, half wore colored lipstick, or 200 / 2 = 100 students wore colored lipstick. Of those students who wore lipstick, one quarter wore red lipstick, or 100 / 4 = 25 students wore red lipstick. Since there were one - fifth as many students wearing blue lipstick as were wearing red lipstick, then 25 / 5 = 5 students wore blue lipstick. The answer is 5.
Question: Javier is selling donuts to raise money for a new game. He wants to raise $96. He buys each dozen donuts for $2.40 and then sells each donut for $1. How many dozen donuts does he need to buy and sell to reach his goal?
Answer:
Every donut costs him $.2 because 2.4 divided by 12 equals .2. So he makes $.8 for every donut he sells because $1 minus $.2 equals .8. He needs to sell 120 donuts because 96 divided by .8 equals 120. He needs to buy and sell 10 dozen donuts because 120 divided by 12 equals 10. The answer is 10.