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question:Lauren has 5 more than double as many pencils as Lucas. Lucas has one quarter as many pencils as Logan. If Logan has 32 pencils, how many pencils does Lauren have?
answer:Let's break it down step by step.We know Logan has 32 pencils.Lucas has one quarter as many pencils as Logan, so Lucas has 32 / 4 = 8 pencils.Lauren has 5 more than double as many pencils as Lucas. Double the number of pencils Lucas has is 8 x 2 = 16. Adding 5 more to that gives 16 + 5 = 21.So Lauren has 21 pencils.Answer: boxed{21}
question:Lily and Leo prepared 145 care packages to be donated to a local shelter. Later, Pet Palace donated 30 more care packages. If Lily and Leo have already distributed 90 care packages, how many more care packages are left to be given away?
answer:Lily and Leo initially prepared 145 care packages.Pet Palace donated 30 more care packages. So now the total care packages amount to 145 + 30 = 175.Since Lily and Leo have already distributed 90 care packages, the number of care packages left to be given away is 175 - 90 = 85.So there are boxed{85} care packages left to be given away.
question:Mia and her siblings went to an Easter egg hunt, where they were excited to collect as many eggs as possible. Mia collected 18 eggs, her brother Ethan collected 15 eggs, her sister Ava collected two-thirds the amount of eggs as Mia, and her brother Liam collected three times as many eggs as Ethan. How many eggs did the siblings collect in total?
answer:Let's calculate the number of eggs each sibling collected and then add them up.Mia collected 18 eggs.Ethan collected 15 eggs.Ava collected two-thirds the amount of eggs as Mia, so she collected 18 * 2/3 = 36/3 = 12 eggs.Liam collected three times as many eggs as Ethan, so he collected 15 * 3 = 45 eggs.Now, let's add up the total number of eggs collected by the siblings:18 + 15 + 12 + 45 = 33 + 12 + 45 = 45 + 45 = 90 eggs.Thus, the siblings collected a total of boxed{90} eggs.
question:Emily buys a sailboat to participate in a competition. The sailboat costs 30,000, but she negotiates a 15% discount. She wins the competition and receives a prize of 100,000, but she has to pay a 10% fee to her sailing team. How much money did Emily make from the competition?
answer:Let's break down the problem:The sailboat originally costs 30,000, but Emily negotiates a 15% discount. This means she pays 30,000 - (15% of 30,000) = 30,000 - 4,500 = 25,500 for the sailboat.She wins the competition and receives a prize of 100,000. However, she has to pay a 10% fee to her sailing team. This means she pays 10% of 100,000 = 10,000 to her sailing team.So, her total earnings from the competition are 100,000 - 10,000 = 90,000.However, she also spent 25,500 on the sailboat. So, her net earnings from the competition are 90,000 - 25,500 = 64,500.Thus, Emily made boxed{64,500} dollars from the competition.
question:How many glasses of 250 ml juice can Olivia fill from a full 1.5-liter bottle of juice?
answer:To find out how many glasses Olivia can fill, we need to divide the total volume of the bottle (1.5 liters) by the volume of each glass (250 ml).First, we need to convert the volume of the bottle from liters to milliliters. 1 liter is equal to 1000 milliliters, so:1.5 liters = 1.5 x 1000 = 1500 millilitersNow, we can divide the total volume of the bottle (1500 ml) by the volume of each glass (250 ml):1500 ml ÷ 250 ml = 6So, Olivia can fill boxed{6} glasses of 250 ml juice from a full 1.5-liter bottle of juice.
question:At a school event, there are 18 students from the debate team, 15 students from the choir, and some teachers. If they divide into 4 equally sized groups for a team-building activity, each group has 20 people. How many teachers attended the school event?
answer:Let's denote the number of teachers by t.The total number of people present at the event is the sum of the number of students and the number of teachers.There are 18 students from the debate team and 15 students from the choir, so the total number of students is 18 + 15 = 33.So the total number of people present is 33 + t.Since they divide into 4 equally sized groups and each group has 20 people, the total number of people present is 4 * 20 = 80.We can now write the equation 33 + t = 80.Solving this equation for t, we get t = 80 - 33 = 47.Thus, there were boxed{47} teachers at the event.