Question: There were 600 people in the stadium when the football game started. Before the game was over, one-fourth of the boys and one-eighth of the girls left early. How many people remained to see the end of the game if there were 240 girls at the beginning of the game?
Answer: There were 600 - 240 = 360 boys at the beginning of the game. So, 360 x 1 / 4 = 90 boys left early. And 240 x 1 / 8 = 30 girls left early. A total of 90 + 30 = 120 people left early. Therefore, 600 - 120 = 480 people remained to see the end of the game. The answer is 480.
[Question]Maria is a saleswoman at a flower shop. On the first day, she sold 30 tulips and 20 roses. The next day, she doubled the previous day's sales. On the third day, she sold only 10% of the tulips sold on the second day and 16 roses. The price of one tulip is $2 and one rose is $3. How much did Maria earn over these three days?
[Answer]On the second day, Maria sold 30 * 2 = 60 tulips. She also sold 20 * 2 = 40 roses the second day. On the third day, Maria sold only 10 / 100 * 60 = 6 tulips. Over these three days Maria sold 30 + 60 + 6 = 96 tulips. She also sold 20 + 40 + 16 = 76 roses. So on the tulips Maria earned 96 * 2 = $192. And on roses Maria earned 76 * 3 = $228. In total, over these three days, Maria has earned 192 + 228 = $420. The answer is 420.
Q: Miles and Daphne are comparing their reading collection and want to figure out who has more pages. They are about to count each page, but their parents suggest that they see whose collection is taller. Mile's collection is taller, but then Daphne notices that Miles reads board books, and so the pages are thicker. After some more measuring, they figure out that for Miles, 1 inch equals 5 pages, but for Daphne 1 inch equals 50 pages. If Miles's books are 240 inches tall and Daphne's collection is 25 inches tall, how many pages are in the longest collection?
A: Miles's collection has 1,200 pages because 240 x 5 = 1,200. Daphne's collection has 1,250 pages because 25 x 50 = 1,250. The largest collection has 1,250 pages because 1,250 > 1,200. The answer is 1250.
Question: In 5 years, Andy will be twice as old as Rahim is now. Rahim is 6 now. How much older is Andy than Rahim, right now, in years?
Answer: Andy will be 2 * 6 = 12. Now he is 12 - 5 = 7. So Andy is 7 - 6 = 1 year older than Rahim. The answer is 1.
[Question]Phyllis has two gardens. In the first garden, she has 20 plants and 10% are tomato plants. In the second garden, she has 15 plants and 1/3 of these plants are tomato plants. What percentage of all the plants in her two gardens are tomato plants?
[Answer]The first garden has 2 tomato plants because 20 x .1 = 2. The second garden has 5 tomato plants because 15 x (1 / 3) = 5. She has 7 tomato plants in total because 2 + 5 = 7. She has 35 plants in total because 20 + 15 = 35. The proportion of tomato plants is .2 because 7 / 35 = .2. The percentage of tomato plants is 20 because .2 x 100 = 20. The answer is 20.
[Question]Frankie and Carla played 30 games of ping pong against each other. Frankie won half as many games as did Carla. How many games did Carla win?
[Answer]
Let x be the number of games that Frankie won. Then the number of games Carla won would be 2 * x. And the sum of all the games would be x + 2 * x = 30 games. Thus, the expression simplifies to 3 * x = 30. And the value of x = 10 games. Therefore, the number of Carla's wins would be 2x = 20 games. The answer is 20.
Question: There were 600 people in the stadium when the football game started. Before the game was over, one-fourth of the boys and one-eighth of the girls left early. How many people remained to see the end of the game if there were 240 girls at the beginning of the game?
Answer: There were 600 - 240 = 360 boys at the beginning of the game. So, 360 x 1 / 4 = 90 boys left early. And 240 x 1 / 8 = 30 girls left early. A total of 90 + 30 = 120 people left early. Therefore, 600 - 120 = 480 people remained to see the end of the game. The answer is 480.
[Question]Maria is a saleswoman at a flower shop. On the first day, she sold 30 tulips and 20 roses. The next day, she doubled the previous day's sales. On the third day, she sold only 10% of the tulips sold on the second day and 16 roses. The price of one tulip is $2 and one rose is $3. How much did Maria earn over these three days?
[Answer]On the second day, Maria sold 30 * 2 = 60 tulips. She also sold 20 * 2 = 40 roses the second day. On the third day, Maria sold only 10 / 100 * 60 = 6 tulips. Over these three days Maria sold 30 + 60 + 6 = 96 tulips. She also sold 20 + 40 + 16 = 76 roses. So on the tulips Maria earned 96 * 2 = $192. And on roses Maria earned 76 * 3 = $228. In total, over these three days, Maria has earned 192 + 228 = $420. The answer is 420.
Q: Miles and Daphne are comparing their reading collection and want to figure out who has more pages. They are about to count each page, but their parents suggest that they see whose collection is taller. Mile's collection is taller, but then Daphne notices that Miles reads board books, and so the pages are thicker. After some more measuring, they figure out that for Miles, 1 inch equals 5 pages, but for Daphne 1 inch equals 50 pages. If Miles's books are 240 inches tall and Daphne's collection is 25 inches tall, how many pages are in the longest collection?
A: Miles's collection has 1,200 pages because 240 x 5 = 1,200. Daphne's collection has 1,250 pages because 25 x 50 = 1,250. The largest collection has 1,250 pages because 1,250 > 1,200. The answer is 1250.
Question: In 5 years, Andy will be twice as old as Rahim is now. Rahim is 6 now. How much older is Andy than Rahim, right now, in years?
Answer: Andy will be 2 * 6 = 12. Now he is 12 - 5 = 7. So Andy is 7 - 6 = 1 year older than Rahim. The answer is 1.
[Question]Phyllis has two gardens. In the first garden, she has 20 plants and 10% are tomato plants. In the second garden, she has 15 plants and 1/3 of these plants are tomato plants. What percentage of all the plants in her two gardens are tomato plants?
[Answer]The first garden has 2 tomato plants because 20 x .1 = 2. The second garden has 5 tomato plants because 15 x (1 / 3) = 5. She has 7 tomato plants in total because 2 + 5 = 7. She has 35 plants in total because 20 + 15 = 35. The proportion of tomato plants is .2 because 7 / 35 = .2. The percentage of tomato plants is 20 because .2 x 100 = 20. The answer is 20.
[Question]Frankie and Carla played 30 games of ping pong against each other. Frankie won half as many games as did Carla. How many games did Carla win?
[Answer]
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Let x be the number of games that Frankie won. Then the number of games Carla won would be 2 * x. And the sum of all the games would be x + 2 * x = 30 games. Thus, the expression simplifies to 3 * x = 30. And the value of x = 10 games. Therefore, the number of Carla's wins would be 2x = 20 games. The answer is 20.
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Question: There were 600 people in the stadium when the football game started. Before the game was over, one-fourth of the boys and one-eighth of the girls left early. How many people remained to see the end of the game if there were 240 girls at the beginning of the game?
Answer: There were 600 - 240 = 360 boys at the beginning of the game. So, 360 x 1 / 4 = 90 boys left early. And 240 x 1 / 8 = 30 girls left early. A total of 90 + 30 = 120 people left early. Therefore, 600 - 120 = 480 people remained to see the end of the game. The answer is 480.
[Question]Maria is a saleswoman at a flower shop. On the first day, she sold 30 tulips and 20 roses. The next day, she doubled the previous day's sales. On the third day, she sold only 10% of the tulips sold on the second day and 16 roses. The price of one tulip is $2 and one rose is $3. How much did Maria earn over these three days?
[Answer]On the second day, Maria sold 30 * 2 = 60 tulips. She also sold 20 * 2 = 40 roses the second day. On the third day, Maria sold only 10 / 100 * 60 = 6 tulips. Over these three days Maria sold 30 + 60 + 6 = 96 tulips. She also sold 20 + 40 + 16 = 76 roses. So on the tulips Maria earned 96 * 2 = $192. And on roses Maria earned 76 * 3 = $228. In total, over these three days, Maria has earned 192 + 228 = $420. The answer is 420.
Q: Miles and Daphne are comparing their reading collection and want to figure out who has more pages. They are about to count each page, but their parents suggest that they see whose collection is taller. Mile's collection is taller, but then Daphne notices that Miles reads board books, and so the pages are thicker. After some more measuring, they figure out that for Miles, 1 inch equals 5 pages, but for Daphne 1 inch equals 50 pages. If Miles's books are 240 inches tall and Daphne's collection is 25 inches tall, how many pages are in the longest collection?
A: Miles's collection has 1,200 pages because 240 x 5 = 1,200. Daphne's collection has 1,250 pages because 25 x 50 = 1,250. The largest collection has 1,250 pages because 1,250 > 1,200. The answer is 1250.
Question: In 5 years, Andy will be twice as old as Rahim is now. Rahim is 6 now. How much older is Andy than Rahim, right now, in years?
Answer: Andy will be 2 * 6 = 12. Now he is 12 - 5 = 7. So Andy is 7 - 6 = 1 year older than Rahim. The answer is 1.
[Question]Phyllis has two gardens. In the first garden, she has 20 plants and 10% are tomato plants. In the second garden, she has 15 plants and 1/3 of these plants are tomato plants. What percentage of all the plants in her two gardens are tomato plants?
[Answer]The first garden has 2 tomato plants because 20 x .1 = 2. The second garden has 5 tomato plants because 15 x (1 / 3) = 5. She has 7 tomato plants in total because 2 + 5 = 7. She has 35 plants in total because 20 + 15 = 35. The proportion of tomato plants is .2 because 7 / 35 = .2. The percentage of tomato plants is 20 because .2 x 100 = 20. The answer is 20.
[Question]Frankie and Carla played 30 games of ping pong against each other. Frankie won half as many games as did Carla. How many games did Carla win?
[Answer]
Let x be the number of games that Frankie won. Then the number of games Carla won would be 2 * x. And the sum of all the games would be x + 2 * x = 30 games. Thus, the expression simplifies to 3 * x = 30. And the value of x = 10 games. Therefore, the number of Carla's wins would be 2x = 20 games. The answer is 20.