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question:Alexis had 30 red pencils. Then she bought 4 boxes of yellow pencils. There were 12 pencils in each box. She created a gift of 8 red pencils and 10 yellow pencils and gave it to her sister. How many pencils does Alexis have now?
answer:Let's compute the number of pencils Alexis has after all her actions.Initially she had 30 red pencils.She then bought 4 boxes of 12 yellow pencils, which amounts to 4 * 12 = 48 yellow pencils.So before gifting any pencils to her sister, she had 30 + 48 = 78 pencils.She gifted 8 red pencils and 10 yellow pencils, which amounts to gifting 8 + 10 = 18 pencils.So after gifting pencils, Alexis has 78 - 18 = 60 pencils.Thus Alexis has boxed{60} pencils now.
question:The movie theater sells matinee tickets for 5, evening tickets for 12, and 3D tickets for 20. If they sell 200 matinee tickets, 300 evening tickets and 100 3D tickets, how much money do they make in total?
answer:To calculate the total amount of money made by the movie theater, we need to multiply the number of tickets sold for each type by the price of each type, and then add them up.For matinee tickets, they sold 200 tickets at 5 each, so they made 200 * 5 = 1000.For evening tickets, they sold 300 tickets at 12 each, so they made 300 * 12 = 3600.For 3D tickets, they sold 100 tickets at 20 each, so they made 100 * 20 = 2000.Adding up the amounts made from each type of ticket, we get 1000 + 3600 + 2000 = 6600.So, the movie theater made a total of boxed{6600} dollars.
question:Julian has 300 more in his retirement account than his brother Ethan has in his retirement account. Julian's account earns a simple interest at the rate of 8% per annum. If Ethan has 600, how much money will Julian have after three years?
answer:Since Ethan has 600, and Julian has 300 more than Ethan, Julian has 600 + 300 = 900.The simple interest earned by Julian's account at the rate of 8% per annum for three years is:900 * 8/100 * 3 = 216.The total amount of money Julian will have after three years is the initial amount plus the interest earned:900 + 216 = 1116.So Julian will have boxed{1116} dollars after three years.
question:A recipe for making 2.5 liters of jam requires 36 kg of strawberries. How many kilograms of strawberries are needed to make 4 liters of jam?
answer:To determine the amount of strawberries needed for 4 liters of jam, we can set up a proportion based on the given information.For 2.5 liters of jam, we need 36 kg of strawberries.Let x be the amount of strawberries needed for 4 liters of jam.Setting up the proportion:(36 kg) / (2.5 liters) = x / (4 liters)To solve for x, we can cross-multiply:36 * 4 = 2.5 * x144 = 2.5xNow, divide both sides by 2.5:x = 144 / 2.5x = 57.6So, we need approximately 57.6 kg of strawberries to make 4 liters of jam.Thus, the amount of strawberries needed is boxed{57.6} kg.
question:Emily studies 8 hours over 4 days. She can complete 30 math problems per hour. Assuming she studies the same amount every day, how many math problems does she complete in 10 days?
answer:To find out how many math problems Emily completes in 10 days, we need to find out how many hours she studies in 10 days and then multiply it by the number of problems she completes per hour.Since Emily studies 8 hours over 4 days, she studies the same amount every day, which is 8 hours / 4 days = 2 hours per day.In 10 days, she will study 2 hours per day x 10 days = 20 hours.Since she completes 30 math problems per hour, she will complete 20 hours x 30 math problems per hour = 600 math problems in 10 days.So Emily completes boxed{600} math problems in 10 days.
question:Grady has 20 red numbered cubes and 15 blue numbered cubes. He gives his friend Gage 2/5 of his red numbered cubes and 1/3 of the blue numbered cubes. If Gage had 10 red numbered cubes and 12 blue numbered cubes, find the total number of cubes Gage has?
answer:To find the total number of cubes Gage has, we first need to determine how many cubes Grady gave him.Grady had 20 red numbered cubes and gave Gage 2/5 of them. 2/5 of 20 is (2/5) * 20 = 0.4 * 20 = 8 cubes.Grady had 15 blue numbered cubes and gave Gage 1/3 of them. 1/3 of 15 is (1/3) * 15 = 0.3333333333333333 * 15 = 5 cubes.Gage originally had 10 red and 12 blue cubes. So the total number of cubes he now has is:10 (his own red) + 8 (Grady's red) + 12 (his own blue) + 5 (Grady's blue) = 35Thus Gage has boxed{35} cubes.