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question:Alice has 75; Ben has 42; Charlie has 60. Alice owes Ben 25. Ben owes Charlie 30. Charlie owes Alice 20. When all debts are paid, how much will Alice and Charlie have together in dollars?
answer:To solve this problem, we need to calculate the final amount each person has after all debts are paid.Initially:- Alice has 75.- Ben has 42.- Charlie has 60.Transactions:1. Alice owes Ben 25: Alice now has 75 - 25 = 50, Ben now has 42 + 25 = 67.2. Ben owes Charlie 30: Ben now has 67 - 30 = 37, Charlie now has 60 + 30 = 90.3. Charlie owes Alice 20: Charlie now has 90 - 20 = 70, Alice now has 50 + 20 = 70.After all debts are paid:- Alice has 70.- Charlie has 70.Together, Alice and Charlie have 70 + 70 = 140.So, Alice and Charlie have boxed{140} dollars together after all debts are paid.
question:A bookstore sells 25 more novels than magazines every week. If the bookstore sells 30 magazines every week, how many novels and magazines will it sell in a year?
answer:Let's break it down:* The bookstore sells 30 magazines every week.* It sells 25 more novels than magazines every week, so it sells 30 + 25 = 55 novels every week.* To find the total number of novels and magazines sold in a week, we add 30 (magazines) + 55 (novels) = 85.* Since there are 52 weeks in a year, we multiply 85 by 52 to get the total number of novels and magazines sold in a year: 85 * 52 = 4420.So, the bookstore will sell boxed{4420} novels and magazines in a year.
question:The Atlas Tower has 8 more floors than the Downtown Plaza. Together they have a total of 50 floors. How many floors does the Atlas Tower have?
answer:Let x be the number of floors in the Downtown Plaza.Then the number of floors in the Atlas Tower is x + 8.Together, the Downtown Plaza and the Atlas Tower have x + (x+8) = 50 floors.Simplifying this, we have 2x + 8 = 50.Subtracting 8 from both sides, we have 2x = 42.Dividing both sides by 2, we have x = 21.So the Atlas Tower has x + 8 = 21 + 8 = 29 floors.Thus, the Atlas Tower has boxed{29} floors.
question:A butterfly lays a cluster of 30 eggs. If 60% of the eggs successfully hatch, how many caterpillars do 8 butterflies produce?
answer:Let's solve this new question.One butterfly lays 30 eggs.60% of these eggs successfully hatch.So the number of eggs that successfully hatch for one butterfly is 30 * 60 / 100 = 1800 / 100 = 18For 8 butterflies, the total number of caterpillars is 8 * 18 = 144.Thus, 8 butterflies produce boxed{144} caterpillars.
question:A local parade features marchers and performers riding unicycles and bicycles. If there are 75 participants in the parade, and 2/3 of them are riding on bicycles, how many wheels do the unicycles and bicycles in the parade have combined?
answer:Let's break down the problem step by step.We are given that there are 75 participants in the parade, and 2/3 of them are riding on bicycles.To find the number of participants riding bicycles, we can calculate 2/3 of 75, which is:(2/3) × 75 = 50So, there are 50 participants riding bicycles.Since each bicycle has 2 wheels, the total number of wheels from bicycles is:50 × 2 = 100Now, let's find the number of participants riding unicycles. Since there are 75 participants in total, and 50 of them are riding bicycles, the number of participants riding unicycles is:75 - 50 = 25Since each unicycle has 1 wheel, the total number of wheels from unicycles is:25 × 1 = 25Now, we can add the total number of wheels from bicycles and unicycles to find the combined total:100 + 25 = 125So, the unicycles and bicycles in the parade have a combined total of boxed{125} wheels.
question:Marissa has 4.5 feet of ribbon that she wants to use to tie some boxes. If 1 foot of ribbon is left after Marissa uses 0.7 feet of ribbon to tie each box, find out how many boxes she tied?
answer:To find out how many boxes she tied, we first need to find out how much ribbon she used. Since she has 1 foot left, the amount of ribbon she used is 4.5 - 1 = 3.5 feet. If she uses 0.7 feet of ribbon to tie each box, the number of boxes she tied is 3.5 / 0.7.Thus, Marissa tied boxed{5} boxes.