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question:Pete has a bag with 10 marbles. 40% are blue and the rest are red. His friend will trade him two blue marbles for every red one. If Pete keeps 1 red marble, how many total marbles does he have after trading with his friend?
answer:Pete starts with 10 marbles in his bag.Out of these 40% or 10 * 40 / 100 = 400 / 100 = 4 marbles are blue.Thus the rest 10 - 4 = 6 marbles are red.Pete will keep 1 red marble and thus trade the remaining 6 - 1 = 5 red marbles.For each red marble he will get 2 blue marbles in trade.So after trading, he will get 5 * 2 = 10 more blue marbles.Thus the total number of marbles after trading with his friend will be 4 (blue) + 10 (new blue) + 1 (red) = 15.Thus, Pete will have boxed{15} marbles after the trade with his friend.
question:Emily goes to the store with 120. She purchases a birthday cake for 25 and a bouquet of flowers for 18. How much money does she have left?
answer:To find out how much money Emily has left, we need to subtract the cost of the birthday cake and the bouquet of flowers from the initial amount of money she had.The birthday cake costs 25, and the bouquet of flowers costs 18, so the total cost is 25 + 18 = 43.Subtracting the total cost from the initial amount of money Emily had, we get 120 - 43 = 77.Thus, Emily has boxed{77} dollars left.
question:Kendra wants enough shirts that she only has to do laundry once every two weeks. She wears one shirt to school for each of the five weekdays. Three days a week, she changes into a different shirt for an after-school club. On Saturday, she wears one shirt all day. On Sunday, she wears a different shirt to church than she does for the rest of the day. How many shirts does she need to be able to only do laundry once every two weeks?
answer:To calculate the number of shirts Kendra needs, we need to determine how many shirts she wears per week.During the weekdays, she wears 1 shirt per day for school, which amounts to 5 shirts.Additionally, 3 days a week, she wears 1 more shirt for her after-school club, so that's 3 more shirts.On Saturday, she wears 1 shirt.On Sunday, she wears 2 shirts.So, in total, she wears 5 + 3 + 1 + 2 = 8 + 1 + 2 = 9 + 2 = 11 shirts per week.Since she wants to do laundry once every 2 weeks, we multiply the number of shirts she wears per week by 2:11 shirts/week * 2 weeks = 22 shirts.Thus, Kendra needs boxed{22} shirts.
question:A basketball team had 30 players ready for a tournament. In the first quarter, 10 players started the game with 3 substitutions made. In the remaining quarters, the team made a total of 4 more substitutions than it made in the first quarter. How many players on the team did not participate in the game that day?
answer:In the first quarter, there were 10 players with 3 substitutions made. This means that 10 + 3 = 13 players participated in the first quarter.In the remaining quarters, there were 4 more substitutions than the first quarter. So the total number of substitutions in the remaining quarters is 3 + 4 = 7.Since the initial 10 players are already counted, the new substitutions in the remaining quarters add to the total number of players that have participated. So the total number of players that participated is 13 + 7 = 20.The team had 30 players in total. So the number of players that did not participate in the game is 30 - 20 = 10.Thus, boxed{10} players did not participate in the game that day.
question:Emily purchases 4 notebooks, one each in the colors yellow, pink, purple, and orange. She writes 8 notes in each notebook and then decorates the notes with heart-shaped stamps. In the yellow notebook, each note gets 4 stamps. In the pink notebook, each note gets 3 stamps, in the purple notebook, each note gets 2 stamps, and in the orange notebook, each note gets 1 stamp. What is the total number of stamps Emily uses?
answer:To solve this problem, we need to calculate the total number of stamps used by Emily in each notebook and then add them up.In the yellow notebook, there are 8 notes and each note gets 4 stamps. So the total number of stamps used in the yellow notebook is 8 * 4 = 32.In the pink notebook, there are 8 notes and each note gets 3 stamps. So the total number of stamps used in the pink notebook is 8 * 3 = 24.In the purple notebook, there are 8 notes and each note gets 2 stamps. So the total number of stamps used in the purple notebook is 8 * 2 = 16.In the orange notebook, there are 8 notes and each note gets 1 stamp. So the total number of stamps used in the orange notebook is 8 * 1 = 8.The total number of stamps used by Emily is 32 + 24 + 16 + 8 = 56 + 16 + 8 = 72 + 8 = 80.Thus, Emily uses boxed{80} stamps in total.
question:A town has a population of 200,000. 20,000 people move to the town and then 15,000 people relocate to another city. After that, 1/6 of the population gets married and 1/5 of those couples have triplets. How many people are there after the births?
answer:The initial population of the town is 200,000.20,000 people move to the town, increasing the population to 200,000 + 20,000 = 220,000.Then 15,000 people relocate to another city, reducing the population to 220,000 - 15,000 = 205,000.After that, 1/6 of the population gets married. This means 205,000 / 6 = 34,166.67 people get married.Since we cannot have a fraction of a person, we will round down to 34,166 people getting married.Then 1/5 of those couples have triplets, which is 34,166 / 5 = 6,833.2. Again, we round down to 6,833 couples having triplets.Since each couple has triplets, the total number of births is 6,833 * 3 = 20,499.Adding the births to the population, we get 205,000 + 20,499 = 225,499.Thus, there are boxed{225,499} people after the births.