Q: Debra is the host of a country music radio show, and she broadcasts interviews with celebrity country music singers. Each week, she interviews three singers, one at a time. The first interview segment is always twice as long as the other two segments combined, and the third interview segment is always half as long as the second. If the third segment is 10 minutes long, how many minutes long is the entire show?
A: If the third segment is half as long as the second, then the second segment is twice as long as the third, or 10 * 2 = 20 minutes long. The first segment is twice as long as the other two combined, or 2 * (10 + 20) = 60 minutes. Thus, in total, the show is 10 + 20 + 60 = 90 minutes long. The answer is 90.
Question: Karen is packing her backpack for a long-distance hike. She packs 20 pounds of water, 10 pounds of food, and 20 pounds of gear. During her hike, she drinks 2 pounds of water per hour and eats 1/3rd the weight of food per hour as water per hour. How much weight is she carrying after six hours?
Answer: First find the weight of food Karen eats every hour: 2 pounds * 1 / 3 = 2 / 3 pounds food. Then find the total amount of weight Karen's backpack loses per hour she hikes: 2 pounds water / hour + 2 / 3 pound food / hour = 8 / 3 pounds / hour. Multiply this by the number of hours she hikes to find the total amount of weight she loses: 8 / 3 pounds / hour * 6 hours = 16 pounds. Add the weight of all her items to find total starting weight: 20 pounds + 10 pounds + 20 pounds = 50 pounds. Then subtract the weight she loses from the starting weight to find the weight after 6 hours: 50 pounds - 16 pounds = 34 pounds. The answer is 34.
[Question]Ashley had a birthday party and invited 20 of her friends, telling them to each invite one more person to attend the party. If half the number of the invited guests each came with one more person, what's the total number of people at the party, including Ashley?
[Answer]If she invited 20 friends, then the number of friends who came with one more person is 1 / 2 * 20 = 10. If the 10 friends came with 10 more people, the total number of guests becomes 20 + 10 = 30 guests. If you add Ashley, the total number of people in the party is 30 + 1 = 31 people. The answer is 31.
Q: Luna's monthly food budget is equal to 60% of her house rental budget while her phone bill budget is 10% of her food budget. If the total budget of house rental and food budget is $240, how much is Luna's total monthly budget to pay all those expenses?
A: Let x be Luna's house rental budget. The total budget for house and food rental is represented by the equation x + (60x / 100) = 240. The equation becomes 100x + 60x = 24000 after multiplying each term by 100 to get rid of the fraction. By combining like terms, the equation becomes 160x = 24000. Thus, the value of x is 24000 / 160 = 150 which represents the house rental budget. So, Luna's food budget is $240 - $150 = $90. Her phone bill budget is $90 x 10 / 100 = $9. Therefore, Luna's monthly budget for all those expenses is $240 (house and food) + $9 (phone) = $249. The answer is 249.
Question: John is very unfit and decides to work up to doing a push-up. He trains 5 days a week for them and starts with wall push-ups. He adds 1 rep a day and once he gets to 15 reps he will start training high elevation push-ups. and then low elevation push-ups, and finally floor push-ups. How many weeks will it take him to get to floor push-ups?
Answer: He needs to do 15 * 3 = 45 progressions. That will take 45 / 5 = 9 weeks. The answer is 9.
Q: Angela is a bike messenger in New York. She needs to deliver 8 times as many packages as meals. If she needs to deliver 27 meals and packages combined, how many meals does she deliver?
A:
Let p be the number of packages Angela delivers and m be the number of meals. We know that p + m = 27 and p = 8m. Substituting the second equation into the first equation, we get 8m + m = 27. Combining like terms, we get 9m = 27. Dividing both sides by 9, we get m = 3. The answer is 3.