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question:Daniel owns a textile company. Every Monday he delivers 20 yards of fabric, and every Tuesday he delivers twice the amount of fabric he delivers on Monday. Every Wednesday, he delivers 1/4 of the amount of fabric he delivers on Tuesday. If each yard of fabric costs 2 and each yard of yarn costs 3, how much does he earn from Monday to Wednesday?
answer:Every Monday, Daniel delivers 20 yards of fabric. So on Monday he earns 20 * 2 = <<20*2=40>>40 Every Tuesday, Daniel delivers twice the amount of fabric he delivers on Monday, so he delivers 20 * 2 = 40 yards of fabric. On Tuesday he earns 40 * 2 = <<40*2=80>>80 Every Wednesday, Daniel delivers 1/4 of the amount of fabric he delivers on Tuesday, so he delivers 40 * 1/4 = 10 yards of fabric. On Wednesday he earns 10 * 2 = <<10*2=20>>20 Therefore, from Monday to Wednesday, Daniel earns 40 + 80 + 20 = <<40+80+20=140>>140 140 The answer is: 140
question:Otto’s local kitchen supply store charges 5.00 for the first knife that you need sharpened. They charge 4.00 for the next 3 knives and 3.00 for any knife after that. If Otto has x knives that need to be sharpened, how much will it cost to sharpen his knives? If we know the answer to the above question is 32, what is the value of unknown variable x?
answer:The cost to sharpen the first knife is 5.00. The cost to sharpen the next 3 knives is 4.00 per knife, so the total cost for these knives is 3 * 4.00 = 12.00. Any knife after the first 4 knives is 3.00 per knife, so the cost to sharpen x-4 knives is (x-4) * 3.00 = 3.00x - 12.00. The total cost to sharpen all the knives is the sum of the cost for the first knife, the cost for the next 3 knives, and the cost for the remaining knives: 5.00 + 12.00 + (3.00x - 12.00) = 3.00x + 5.00. We are given that the total cost is 32.00, so we can write: 3.00x + 5.00 = 32.00. Subtracting 5.00 from both sides, we get: 3.00x = 27.00. Dividing both sides by 3.00, we get: x = 9. The value of x is 9. 9 The answer is: 9
question:Vann is a veterinarian. Today he is going to be doing dental cleanings only. Dogs have x teeth, cats have 30 teeth and pigs have 28 teeth. If he is to do 5 dogs, 10 cats and 7 pigs, how many total teeth will Vann clean today? If we know the answer to the above question is 706, what is the value of unknown variable x?
answer:Vann is going to clean the teeth of 5 dogs, which means he will clean 5 * x = 5x dog teeth. He is also going to clean the teeth of 10 cats, which means he will clean 10 * 30 = 300 cat teeth. And he is going to clean the teeth of 7 pigs, which means he will clean 7 * 28 = 196 pig teeth. The total number of teeth Vann will clean today is the sum of the dog teeth, cat teeth, and pig teeth: 5x + 300 + 196. We are given that the total number of teeth is 706, so we can write: 5x + 300 + 196 = 706. Simplifying the left side, we get: 5x + 496 = 706. Subtracting 496 from both sides, we get: 5x = 210. Dividing both sides by 5, we get: x = 42. The value of x is 42. 42 The answer is: 42
question:Sheila, Purity, and Rose want to rent a house. Sheila has offered to pay five times Purity’s share of the rent. Rose can only afford thrice what Purity pays. If Rose’s share is 1,800, what is the total house rent?
answer:If Rose's share is 1,800, then Purity's share is 1,800 / 3 = 600. And since Sheila is paying five times Purity's share, her share is 600 * 5 = 3,000. The total house rent is the sum of all three shares, so it is 1,800 + 600 + 3,000 = 5,400. 5400 The answer is: 5400