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question:atio is a poet composing sonnets for his lady fair. He believes it will take many of his sonnets to win her over. Each sonnet is fourteen lines long. His lady fair tells him to leave her alone after he reads her only seven sonnets, and Horatio is heartbroken over the x romantic lines he wrote that she never heard. Horatio wrote 12 sonnets in all. What is the value of unknown variable x? What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the number of romantic lines that Horatio wrote in the sonnets that his lady fair never heard. Let's break down the information given: Number of sonnets Horatio wrote: 12 Number of lines per sonnet: 14 Number of sonnets that his lady fair heard: 7 We can set up the equation as follows: Total number of lines in all sonnets - Total number of lines in sonnets his lady fair heard = Number of romantic lines she never heard 12 * 14 - 7 * 14 = x Let's simplify and solve for x: 168 - 98 = x 70 = x The value of x is 70. 70 The answer is: 70
question:An internet provider gives a 5% discount if the customer pays before the 25th day of the month. If the monthly internet rate is 50, how much did the customer pay in all for 4 months if he paid every 25th of the month?
answer:The customer pays 50 for the monthly internet rate. If the customer pays before the 25th day of the month, they get a 5% discount. The discount amount is 5/100 * 50 = 2.50 So the customer pays 50 - 2.50 = 47.50 each month. If the customer paid every 25th of the month, they paid for 4 months. So the total amount the customer paid for 4 months is 47.50 * 4 = 190 190 The answer is: 190
question:f a vendor purchased apples at a rate of 2 for 3 and plans to sell them at a rate of 5 for 10, and also purchased 3 oranges for 2.70 and plans to sell them for 1 each, what is his profit if he sells 5 apples and 5 oranges?
answer:The vendor purchased apples at a rate of 2 for 3, which means each apple cost 3/2 = 1.50 He plans to sell them at a rate of 5 for 10, which means each apple will be sold for 10/5 = 2 So, the profit per apple is 2 - 1.50 = 0.50 The vendor purchased 3 oranges for 2.70, which means each orange cost 2.70/3 = 0.90 He plans to sell them for 1 each, so the profit per orange is 1 - 0.90 = 0.10 If he sells 5 apples, his profit from the apples will be 5 * 0.50 = 2.50 If he sells 5 oranges, his profit from the oranges will be 5 * 0.10 = 0.50 Therefore, his total profit will be 2.50 + 0.50 = 3 3 The answer is: 3
question:Last week, Tony went to a toy store and bought 250 a set of Lego blocks, a 120 worth toy sword, and a 35 play dough. He bought x sets of lego, 7 toy swords, and 10 play doughs. Tony paid 1940 in total. What is the value of unknown variable x? What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the number of sets of Lego blocks that Tony bought. Let's break down the information given: Cost of a set of Lego blocks: 250 Number of sets of Lego blocks: x Cost of a toy sword: 120 Number of toy swords: 7 Cost of play dough: 35 Number of play doughs: 10 Total cost: 1940 We can set up the equation as follows: Cost of a set of Lego blocks * Number of sets of Lego blocks + Cost of a toy sword * Number of toy swords + Cost of play dough * Number of play doughs = Total cost 250x + 120 * 7 + 35 * 10 = 1940 Let's simplify and solve for x: 250x + 840 + 350 = 1940 250x + 1190 = 1940 To isolate x, we subtract 1190 from both sides of the equation: 250x + 1190 - 1190 = 1940 - 1190 250x = 750 To solve for x, we divide both sides of the equation by 250: x = 750 / 250 x = 3 The value of x is 3. 3 The answer is: 3