answer:We know that a bird eats 7 berries a day. Samuel has x birds. So, the total number of berries eaten by Samuel's birds in a day is 7 * x. To find out how many berries are eaten in 4 days, we multiply the daily consumption by the number of days: 7 * x * 4. Given that the birds eat 140 berries in 4 days, we can use this information to create the following equation: 7 * x * 4 = 140 Now we can solve the equation for x: 28x = 140 Dividing both sides of the equation by 28, we get: x = 5 So, the value of x is 5., If the total number of berries eaten by Samuel's birds in 4 days is 140, and each bird eats 7 berries a day, then to find the value of x (the number of birds), we first need to determine how many berries are eaten by all of Samuel's birds in one day. Berries eaten in 1 day = Berries eaten per bird * Number of birds = 7 * x Now, let's find out how many berries are eaten in 4 days: Berries eaten in 4 days = Berries eaten in 1 day * 4 = (7 * x) * 4 = 28x According to the question, we know that 28x equals 140. Now, we can solve for x by dividing both sides of the equation by 28: x = 140 / 28 x = 5 So the value of the unknown variable x is 5, which means Samuel has 5 birds.,We know that a bird eats 7 berries a day. If Samuel has x birds, then the total number of berries eaten in 4 days is 7*x*4. We are given that the total number of berries eaten in 4 days is 140, so we can write: 7*x*4 = 140. Dividing both sides by 28, we get: x = 5. The value of x is 5. 5 The answer is: 5

answer:We are given that Joyce's new property is 10 times larger than her previous property, so her new property is 10x acres. However, her new land has a 1-acre pond where she cannot grow vegetables. Therefore, the total number of acres of land suitable for growing vegetables is 10x - 1. We are given that Joyce now owns 19 acres of land suitable for growing vegetables, so we can write: 10x - 1 = 19. Adding 1 to both sides, we get: 10x = 20. Dividing both sides by 10, we get: x = 2. The value of x is 2. 2 The answer is: 2,If the new property is 10 times larger than her previous property, we can represent this as y = 10*x, where y represents the size of the new property in acres. Since her new land has a 1-acre pond where she cannot grow vegetables, we need to subtract 1 acre from the total size of the new property. This gives us the amount of land suitable for growing vegetables, which we represent as "suitable acres". So, the equation for the amount of land suitable for growing vegetables is: suitable_acres = y - pond_area Now we know that the new property is 10 times larger than her previous property, so y = 10*x. And we also know that she lost 1 acre of land from the pond, so we subtract 1 from the equation: suitable_acres = (10*x) - 1. We are given that the amount of land suitable for growing vegetables is 19 acres, so we can set this equal to the equation we just wrote: suitable_acres = 19. Now, to find the value of x, we solve for it: 19 = (10*x) - 1 20 = (10*x) x = 2 So the value of x is 2. Joyce's previous property was 2 acres., If Joyce's new property is 10 times larger than her previous property, and there is a 1-acre pond on the new property that is not suitable for growing vegetables, then the number of acres on her new property that are suitable for growing vegetables is: 10x - 1 We are told that this number is equal to 19, so we can set up the following equation: 10x - 1 = 19 To solve for x, we first need to add 1 to both sides of the equation: 10x = 20 Next, we need to divide both sides by 10: x = 2 Therefore, Joyce's previous property was 2 acres in size.

answer:To find out how many bulk boxes of candied yams the store needs to order, we first need to determine how many thirds are there in the total number of shoppers (x). To do this, we can use the following formula: Number of bulk boxes = Number of thirds in x We know that 1 bulk box contains 25 packages, and every third shopper buys a package of candied yams. Therefore, if there are x shoppers, we need to find the smallest number of bulk boxes that contains enough packages for all the shoppers who want to buy some. To do this, we can divide x by 3 and round up to the nearest whole number (since even if x is not a multiple of 3, there will still be some shoppers who want to buy candied yams). In mathematical terms, we can write this as: Number of bulk boxes = Ceiling(x/3) We are told that the answer to this equation is 5. Therefore, we can write the equation as: 5 = Ceiling(x/3) To find the value of x, we need to find the smallest multiple of 3 that is greater than or equal to 15 (since 5 * 3 = 15, and we need to account for the fact that we rounded up). The next multiple of 3 is 15, so we have: 5 = 15/3 Multiplying both sides by 3, we get: x = 15 Therefore, the store needs to order enough bulk boxes to accommodate 15 predicted holiday shoppers.,Every third shopper buys a package of candied yams. So, out of x predicted holiday shoppers, x/3 shoppers will buy a package of candied yams. Since each bulk box contains 25 packages, the number of bulk boxes needed is (x/3)/25 = x/75. We are given that the store needs to order 5 bulk boxes, so we can write: x/75 = 5. Multiplying both sides by 75, we get: x = 375. The value of x is 375. 375 The answer is: 375,The question as written doesn't make logical sense. If the store buys bulk boxes of 25 candied yams and one out of every third customer buys a package, but then it is asked how many boxes will be needed based on the number of holiday shoppers x, there seems to be a logical issue here. Assuming x is the number of holiday shoppers predicted, and S is the number of packages of candied yams that will be sold, the relationship between S, x, and the length L of the presents should be clear: S = x/3 But the provided answer of 5 boxes is based on the assumption that 1 out of 5 shoppers will buy a package of candied yams (this is not stated in the question). However, the question states that one out of every third customer buys them, which would imply that only 1 out of 9 shoppers buys a package: S = x/9 To solve for x: Since each box contains 25 candied yams, each buyer buys 1 yam. If we know the store will need to order 5 boxes: 5 boxes * 25 candied yams per box = 125 candied yams Or in other words: 125 = x/9 Multiplying both sides of the equation by 9 to isolate x: 125 * 9 = x 1125 = x Thus, the value of x is 1125.

answer:To solve this problem, let's use algebra. Let's represent the first number as x. Since the second number is double the first, we can represent it as 2x. According to the information given, the sum of the two numbers is 33: x + 2x = 33 3x = 33 Now, let's solve for x: 3x / 3 = 33 / 3 x = 11 Since the first number is 11, the second number, which is double the first, is 2 * 11 = 22. So the value of the second number is 22., The second number is 20. Here's the logic behind this: 1. Let the first number be x. 2. Since the second number is double the first number, we can represent the second number as 2x. 3. We know that the sum of these two numbers is 33, so we can set up an equation: x + 2x = 33 4. Combining like terms, we get 3x = 33. 5. Dividing both sides by 3, we find that x = 11. 6. Now, to find the value of the second number, we substitute x back into the equation for the second number: 2x = 2 * 11 = 20. So, the second number is 20.,Let's assume the first number is x. According to the problem, the second number is double the first number, so it is 2x. The sum of the two numbers is 33, so we can set up the equation x + 2x = 33. Combining like terms, we get 3x = 33. Dividing both sides by 3, we get x = 11. Therefore, the second number is 2x = 2 * 11 = 22. 22 The answer is: 22