Question: Pulsar, the shuffle-dancing bear, Polly, the pink prancing poodle, and Petra, the proud portly pachyderm, are entertainers at the Big Top Circus. In one show, Pulsar stands on his two back legs for a total of 10 minutes. Then, Polly stands on her back legs for three times as long as Pulsar. And then, finally, Petra stands of his back legs for one-sixth as long as Polly. What is the combined length of time, in minutes, that the three entertainers stand on their back legs?
Answer: Polly stands on her back legs for 3 * 10 = 30 minutes. Petra stands on his back legs for 30 / 6 = 5 minutes. In total, the three entertainers stand on their back legs for 10 + 30 + 5 = 45 minutes'. The answer is 45.
[Question]Linda was going to pass out homemade cookies to each of her 24 classmates on the last day of school. She wanted to give each student 10 cookies and wanted to make chocolate chip cookies and oatmeal raisin cookies. Each cookie recipe made exactly 4 dozen cookies. She was able to make 2 batches of chocolate chip cookies before running out of chocolate chips. She made 1 batch of oatmeal raisin cookies. How many more batches of cookies does Linda need to bake?
[Answer]She has 24 classmates and wants to give each 10 cookies, so she needs to bake 24 * 10 = 240 cookies. Each batch makes 4 dozen cookies so that means each batch has 4 * 12 = 48 cookies. She baked 2 batches of chocolate chip and one batch of oatmeal raisin so 2 + 1 = 3 batches. We know that each batch has 48 cookies so 3 * 48 = 144 cookies have been baked. She needs to have 240 cookies and has baked 144 so 240 - 144 = 96 cookies are needed. Again, each batch makes 48 cookies and we need 96 more cookies so 96 / 48 = 2 more batches are needed. The answer is 2.
Q: Rodney has 35 dollars more than Ian. Ian has half as much money as Jessica has. If Jessica has 100 dollars, how much more money does Jessica have than Rodney?
A: Ian has 100 / 2 = 50 dollars. Rodney has 50 + 35 = 85 dollars. Jessica has 100 - 85 = 15 more dollars than Rodney. The answer is 15.
Question: A party hall has 3 decorative light bulbs; a red light bulb which comes on every 2 seconds, a green one every 3 seconds and a blue one every 4 seconds. If they are put on at the same time, what is the shortest time after which the three bulbs will be on at the same time?
Answer: The blue light bulb comes on every 2 seconds so it will be on after 2, 4, 6, 8, 10, 12, 14... seconds (multiples of 2). The red light bulb comes on every 3 seconds so it will be on after 3, 6, 9, 12, 15, 18... seconds (multiples of 3). The blue light bulb comes on every 4 seconds so it will be on after 4, 8, 12, 16, 20... seconds (multiples of 4). The shortest time after which all three will be on is 12 seconds which is the least common multiple of the set of multiples. The answer is 12.
[Question]In the jar, there are 7 blue marbles, 11 red marbles, and some yellow marbles. If the chance of randomly picking a yellow marble is 1/4, how many yellow marbles are there?
[Answer]Let y be the number of yellow marbles. There are 11 + 7 + y = 18 + y total marbles. y / (18 + y) = 1 / 4. 4y = 18 + y. 3y = 18. y = 6. There are 6 yellow marbles. The answer is 6.
[Question]The city’s bus system carries 1,200,000 people each day. How many people does the bus system carry for 13 weeks?
[Answer]
13 weeks have 13 * 7 = 91 days. For 91 days the bus system carries 1,200,000 * 91 = 109,200,000 people. The answer is 109200000.