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question:Carla had 400 chickens on her chicken farm. However, 40% of the chicken died due to a certain disease. There were 1840 chickens if she bought x times as many chickens as the number that died due to disease. 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 chickens Carla bought to replace the ones that died. Let's break down the information given: Initial number of chickens: 400 Percentage of chickens that died: 40% Number of chickens that died: 400 * 40% = 160 Total number of chickens after the deaths: 1840 Number of chickens Carla bought: x * Number of chickens that died = x * 160 We can set up the equation as follows: Initial number of chickens - Number of chickens that died + Number of chickens Carla bought = Total number of chickens after the deaths 400 - 160 + x * 160 = 1840 Let's simplify and solve for x: 400 - 160 + 160x = 1840 240 + 160x = 1840 To isolate x, we subtract 240 from both sides of the equation: 240 + 160x - 240 = 1840 - 240 160x = 1600 To solve for x, we divide both sides of the equation by 160: x = 1600 / 160 x = 10 The value of x is 10. 10 The answer is: 10
question:A kilogram of pork costs 6 while a kilogram of chicken costs 2 less. How much will a 3-kilogram of chicken and a kilogram of pork cost?
answer:A kilogram of chicken costs 6 - 2 = 4. So, a 3-kilogram of chicken will cost 3 x 4 = 12. A kilogram of pork costs 6. Therefore, a 3-kilogram of chicken and a kilogram of pork will cost 12 + 6 = 18. 18 The answer is: 18
question:During the Easter egg hunt, Kevin found 5 eggs, Bonnie found 13 eggs, George found 9 and Cheryl found 56. How many more eggs did Cheryl find than the other three children found?
answer:The total number of eggs found by Kevin, Bonnie, and George is 5 + 13 + 9 = 27 eggs. Cheryl found 56 eggs, so she found 56 - 27 = 29 more eggs than the other three children. 29 The answer is: 29
question:A small square is entirely contained in a larger square, as shown. The side length of the small square is 3 units and the side length of the larger square is 7 units. What is the number of square units in the area of the black region? [asy] fill((0,0)--(21,0)--(21,21)--(0,21)--cycle,black); fill((9,4)--(9,13)--(18,13)--(18,4)--cycle,white); [/asy]
answer:The area of the larger square is 7^2 = 49 square units. The area of the smaller square is 3^2 = 9 square units. The black region is the difference between the area of the larger square and the area of the smaller square, so it is 49 - 9 = boxed{40} square units. The answer is: 40