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question:William's class set a goal each week of the number of cans of food that is to be collected. On the first day, 20 cans were collected. Then the number of cans increased by 5 each day. If they collected 5 days a week to reach their goal, how many cans of food was their goal per week?

answer:To find the number of cans collected at the end of the week, we need to add the number of additional cans collected each day over the course of the week. On the first day, 20 cans were collected. From the second day onwards, the number of cans collected increased by 5 each day. So, the number of cans collected on each day is: Day 1: 20 cans Day 2: 20 + 5 = 25 cans Day 3: 25 + 5 = 30 cans Day 4: 30 + 5 = 35 cans Day 5: 35 + 5 = 40 cans Now, we find the total number of cans collected for the whole week: 20 + 25 + 30 + 35 + 40 = 150 cans So, their goal per week was to collect 150 cans of food., To find the weekly goal, we first need to find the total number of cans collected over five days with a daily increase of 5 cans. On the first day, William's class collected 20 cans. For the next four days, the number of cans collected increases by 5 each day: Day 2: 20 + 5 = 25 cans Day 3: 25 + 5 = 30 cans Day 4: 30 + 5 = 35 cans Day 5: 35 + 5 = 40 cans Now, let's add up the number of cans collected over these five days: Total cans = Day 1 + Day 2 + Day 3 + Day 4 + Day 5 = 20 + 25 + 30 + 35 + 40 = 150 cans Since this is their weekly goal, William's class aimed to collect 150 cans of food per week.,On the first day, they collected 20 cans. On the second day, they collected 20 + 5 = 25 cans. On the third day, they collected 25 + 5 = 30 cans. On the fourth day, they collected 30 + 5 = 35 cans. On the fifth day, they collected 35 + 5 = 40 cans. In total, they collected 20 + 25 + 30 + 35 + 40 = 150 cans in a week. Therefore, their goal per week was 150 cans of food. 150 The answer is: 150

question:In one day, Ella's dog eats 4 pounds of food for every one pound of food that Ella eats. Ella and her dog eat 1000 pounds of food in 10 days if Ella eats x pounds of food each day. What is the value of unknown variable x?

answer:Ella's dog eats 4 times as much food as Ella does each day, so if Ella eats x pounds of food each day, her dog eats 4x pounds. Together, they eat x + 4x = 5x pounds of food per day. Over the course of 10 days, they eat 10 * 5x = 50x pounds of food. We know that they eat 1000 pounds of food in 10 days, so we set up the equation 50x = 1000. Dividing by 50, we find that x = 20. So, Ella eats 20 pounds of food each day.,To solve this problem, we need to determine the value of x, which represents the amount of food Ella eats per day. Let's break down the information given: Ella's dog eats 4 pounds of food for every pound of food that Ella eats. Ella and her dog eat a total of 1000 pounds of food in 10 days. Ella eats x pounds of food each day. We can write this as a linear equation and solve for x: Ella's dog eats 4 pounds of food per pound of food that Ella eats: Dog's food per day = 4 * (Ella's food per day) Ella and her dog eat 1000 pounds of food in 10 days: Total food in 10 days = (Dog's food per day) + (Ella's food per day) Simplify the equations: Dog's food per day = 4x Total food in 10 days = 10x + 1000 Now, divide both sides by 10 to find the daily total: Total food per day = 10x + 1000 Simplify further: 10x = 1000 Divide both sides by 10: x = 100 The value of x is 100. Ella eats 100 pounds of food each day.,To solve this problem, we need to determine the value of x, which represents the amount of food Ella eats each day. We know that Ella's dog eats 4 pounds of food for every one pound of food that Ella eats. Therefore, Ella's dog eats 4x pounds of food each day. The total amount of food Ella and her dog eat in 10 days is 1000 pounds. We can set up the equation as follows: Amount of food Ella eats each day * 10 + Amount of food Ella's dog eats each day * 10 = Total amount of food eaten in 10 days x * 10 + 4x * 10 = 1000 Let's simplify and solve for x: 10x + 40x = 1000 50x = 1000 To isolate x, we divide both sides of the equation by 50: 50x / 50 = 1000 / 50 x = 20 The value of x is 20. 20 The answer is: 20

question:In five years, Rehana will be three times as old as Phoebe. If Rehana is currently 25 years old, and Jacob, Rehana's brother, is 3/5 of Phoebe's current age, how old is Jacob now?

answer:If Rehana is currently 25 years old, then in five years, she will be 25 + 5 = 30 years old. According to the given information, in five years, Rehana will be three times as old as Phoebe. So, Phoebe will be 30 / 3 = 10 years old in five years. If Rehana is currently 25 years old and Jacob is 3/5 of Phoebe's current age, then Jacob is 25 x 3/5 = 15 years old now.,If Rehana is currently 25 years old, in five years, she will be 25 + 5 = 30 years old. Let's assume Phoebe's current age is P. In five years, Phoebe will be P + 5 years old. According to the given information, Rehana will be three times as old as Phoebe in five years, so 30 = 3(P + 5). Simplifying the equation, we have 30 = 3P + 15. Subtracting 15 from both sides, we have 30 - 15 = 3P. So, 15 = 3P. Dividing both sides by 3, we have P = 5. Therefore, Phoebe's current age is 5 years old. Jacob's age is 3/5 of Phoebe's current age, so Jacob's age is 3/5 * 5 = 3 years old. 3 The answer is: 3, Jacob is currently 9 years old. Here's the reasoning: 1. We know that Rehana is 25 years old right now. 2. In five years, Rehana will be 30 years old (25 + 5). 3. At that time, Rehana will be three times as old as Phoebe, so let's represent Phoebe's age with the variable P. This gives us the equation: 30 = 3 * P 4. Solving for P, we find that Phoebe will be 10 years old in five years (30 / 3 = 10). 5. Now, we need to determine Jacob's current age. We know that Jacob, Rehana's brother, is 3/5 of Phoebe's current age. So, let's represent Jacob's age with the variable J. This gives us the equation: J = (3/5) * (current age of Phoebe) 6. Since Phoebe is currently 10 years old minus the 5-year gap, Phoebe is currently 5 years old. 7. Now, we can find Jacob's current age using the equation: J = (3/5) * 5. So, Jacob is currently 9 years old (3 * 5/5 = 9).

question:Avery puts 4 shirts in the donation box. He adds twice as many pants as shirts in the box. He throws in half as many shorts as pants in the box. In total, how many pieces of clothes is Avery donating?

answer:Avery is donating 14 pieces of clothing. Here's the reasoning: 1. Avery donates 4 shirts. 2. He adds twice as many pants as shirts, so he donates 2 × 4 = 8 pants. 3. He throws in half as many shorts as pants, so he donates (1/2) × 8 = 4 shorts. 4. To find the total number of clothes Avery is donating, add up the shirts, pants, and shorts: 4 + 8 + 4 = 16. However, upon re-reading the question, I realized I made an error in my initial response. The question states that Avery throws in half as many shorts as pants, but I calculated it as if he were donating twice as many shorts as pants. The correct calculation should be: 3. He throws in half as many shorts as pants, so he donates (1/2) × 8 = 4 shorts. So, Avery is donating a total of 4 (shirts) + 8 (pants) + 4 (shorts) = 16 pieces of clothing.,Avery puts 4 shirts in the donation box. Since he adds twice as many pants as shirts, he adds 4 * 2 = 8 pants. He also throws in half as many shorts as pants, which means he adds 8 / 2 = 4 shorts. In total, Avery is donating 4 shirts + 8 pants + 4 shorts = 16 pieces of clothing.,Avery puts 4 shirts in the donation box. He adds twice as many pants as shirts, so he puts in 4 x 2 = 8 pants in the box. He throws in half as many shorts as pants, so he puts in 8 / 2 = 4 shorts in the box. In total, Avery is donating 4 shirts + 8 pants + 4 shorts = 16 pieces of clothes. 16 The answer is: 16

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