[Question]If 1 ounce of Dawn liquid soap can make 200,000 bubbles, and Dr. Bronner's liquid soap can make twice as many bubbles per ounce as Dawn liquid soap, then how many bubbles can be made from one half ounce of an equal mixture of Dawn and Dr. Bronner's liquid soaps?
[Answer]One half of a 1 / 2 - ounce liquid is (1 / 2) * (1 / 2) = 1 / 4 ounces. 1 / 4 ounce of Dawn liquid soap can make (1 / 4) * 200,000 = 50,000 bubbles. 1 / 4 ounce of Dr. Bronner's liquid soap can make 2 * (1 / 4) * 200,000 = 100,000 bubbles. Therefore, a half ounce of an equal mixture of Dawn and Dr. Bronner's liquid soaps can make 50,000 + 100,000 = 150,000 bubbles. The answer is 150000.
Q: Every bedtime, Juwella reads a book. Three nights ago, she read 15 pages. Two nights ago she read twice that many pages, while last night she read 5 pages more than the previous night. She promised to read the remaining pages of the book tonight. If the book has 100 pages, how many pages will she read tonight?
A: Juwella read 15 x 2 = 30 pages two nights ago. She read 30 + 5 = 35 pages last night. She read a total of 15 + 30 + 35 = 80 pages for three nights. Thus, she needs to read 100 - 80 = 20 pages tonight to finish the book. The answer is 20.
Question: Stuart is going on a cross-country trip and wants to find the fastest route. On one route the total distance is 1500 miles and the average speed is 75 MPH. On the second trip, the total distance is 750 but the average speed is 25 MPH. How long does his trip take if he goes on the fastest route?
Answer: The first route will take 20 hours because 1,500 / 75 = 20. The second route will take 30 hours because 750 / 25 = 30. The fastest route takes 20 hours because 20 < 30. The answer is 20.
[Question]In the Oprah Winfrey High School marching band, each trumpet and clarinet player carries 5 pounds of weight, each trombone player carries 10 pounds of weight, each tuba player carries 20 pounds of weight, and each drum player carries 15 pounds of weight. If there are 6 trumpets, 9 clarinets, 8 trombones, 3 tubas, and 2 drummers, how much weight does the total marching band carry?
[Answer]First find the total number of clarinet and trumpet players: 6 players + 9 players = 15 players. Then find the total weight of the trumpets and clarinets: 15 players * 5 pounds / player = 75 pounds. Then find the total weight of the trombones: 8 players * 10 pounds / player = 80 pounds. Then find the total weight of the tubas: 3 players * 20 pounds / player = 60 pounds. Then find the total weight of the drummers: 2 drummers * 15 pounds / player = 30 pounds. Then add the weight of each type of instrument to find the total weight: 75 pounds + 80 pounds + 60 pounds + 30 pounds = 245 pounds. The answer is 245.
Q: A jewelry box has 10 necklaces and 15 earrings. Jessy goes to the jewelry stores and buys 10 more necklaces and 2/3 as many earrings as before. After returning home, her mother gives her 1/5 times more earrings than the number she purchased at the store. Calculate the total number of jewelry pieces Jessy has in her box if she puts all of them together.
A: The total number of jewelry Jessy had before going to the store is 10 necklaces + 15 earrings = 25. At the store, Jessy bought 2 / 3 * 15 = 10 earrings. When she got back from the store, Jessy received 1 / 5 * 10 = 2 more earrings than the ones she bought at the store from her mother. The total number of earrings Jessy received from her mother is 2 + 10 = 12 earrings. The total number of earrings Jesy has after being given 12 more from her mother is 10 + 12 = 22 earrings outside the jewelry box. When Jessy puts all the jewelry in the box, the total number becomes 22 new earrings + 10 new necklaces + 25(the total number of jewelry she had before) = 57. The answer is 57.
Question: Alani earned $45 for 3 hours of baby-sitting. At the same rate, for how many hours would she need to baby-sit to earn $75?
Answer:
The rate is $45 / 3 = $15 / hr. She would need to baby - sit for $75 / $15 = 5 hours. The answer is 5.