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question:Aaron has four times as many cows as does Matthews. Together, they have 30 more cows than Marovich. If Matthews has 60 cows, how many cows do the three have altogether?

answer:Matthews has 60 cows, and Aaron has 4 times as many as Matthews, so Aaron has 4 * 60 = <<4*60=240>>240 cows. Together, Matthews and Aaron have 60 + 240 = <<60+240=300>>300 cows. Marovich has 30 cows less than Matthews and Aaron together, so Marovich has 300 - 30 = <<300-30=270>>270 cows. Altogether, the three have 60 (Matthews) + 240 (Aaron) + 270 (Marovich) = <<60+240+270=570>>570 cows.,If Matthews has 60 cows, then Aaron has 4 * 60 = 240 cows. Together, they have 60 + 240 = 300 cows. If they have 30 more cows than Marovich, then Marovich has 300 - 30 = 270 cows. Therefore, the three of them have a total of 270 + 300 = 570 cows. 570 The answer is: 570,Let's denote the number of cows Aaron has as A and the number of cows Marovich has as M. According to the given information, we can write the following equations: A = 4 * M (since Aaron has 4 times as many cows as Matthews) A + M = M + 60 (together, they have 30 more cows than Marovich) We know that M represents Matthews' number of cows, which is 60. Substituting M = 60 into the second equation: A + 60 = 60 + 60 A = 120 So, Aaron has 120 cows. Now, we know how many cows each person has: Matthews has 60 cows, Aaron has 120 cows, and together they have 30 more cows than Marovich (60 + 120 = 180). To find the number of cows Marovich has, we can use the first equation with M = 60: A = 4 * M. A = 4 * 60 = 240 So, Marovich has 240 cows. In total, the three of them have 60 (Matthews) + 120 (Aaron) + 240 (Marovich) = 420 cows.

question:At the end of the first quarter, the winning team had double the points of the losing team. At the end of the second quarter, the winning team had 10 more points than it started with. At the end of the third quarter, the winning team had 20 more points than the number it had in the second quarter. If the total points the winning team scored in the game was 80, and the losing team had 10 points in the first quarter, calculate the total number of points the team scored in the fourth quarter.

answer:At the end of the first quarter, the winning team had double the points of the losing team, so they scored 10 * 2 = 20 points. At the end of the second quarter, the winning team had 10 more points than it started with, so they scored 20 + 10 = 30 points. At the end of the third quarter, the winning team had 20 more points than the number it had in the second quarter, so they scored 30 + 20 = 50 points. If the total points the winning team scored in the game was 80, then the total number of points they scored in the fourth quarter is 80 - 50 = 30. 30 The answer is: 30, The winning team scored 30 points in the fourth quarter. Here's the reasoning: 1. Let W1, W2, W3, and W4 represent the number of points the winning team scored in each quarter. 2. Let L1 and L2 represent the number of points the losing team scored in the first and second quarters, respectively. 3. We know that at the end of the first quarter, the winning team had double the points of the losing team: W1 = 2 * L1. 4. We also know that the losing team had 10 points in the first quarter: L1 = 10. 5. So, W1 = 2 * 10 = 20. 6. At the end of the second quarter, the winning team had 10 more points than it started with: W2 = W1 + 10. 7. At the end of the third quarter, the winning team had 20 more points than the number it had in the second quarter: W3 = W2 + 20. 8. We know that the total points the winning team scored in the game was 80: W1 + W2 + W3 + W4 = 80. 9. We can substitute what we know about W1, W2, and W3 into this equation: 20 + (20 + 10) + (20 + 10 + 20) + W4 = 80. 10. Simplifying this equation gives us W4 = 30. Therefore, the winning team scored 30 points in the fourth quarter.,Let's set up this problem using variables: Let x = the number of points the winning team had at the beginning of the game. Since the losing team had 10 points at the end of the first quarter, the winning team had 2 * 10 = 20 points. So, at the beginning of the second quarter, the winning team had x points and the losing team had 10 points. We know that at the end of the second quarter, the winning team had 10 more points than it started with. So, x + 10 = the number of points the winning team had at the end of the second quarter. At the beginning of the third quarter, the winning team had x + 10 points and the losing team had 10 points. We know that at the end of the third quarter, the winning team had 20 more points than the number it had in the second quarter. So, (x + 10) + 20 = x + 30 = the number of points the winning team had at the end of the third quarter. From the information provided, we know that the total points the winning team scored in the game was 80. Therefore, x + 30 + the number of points in the fourth quarter = 80. Now let's substitute the known values and solve the equation: (x + 30) + the number of points in the fourth quarter = 80 Subtract 30 from both sides of the equation: x + the number of points in the fourth quarter = 50 Since we know that x = x + 10 + 20 = x + 30, substitute this value in the equation: x + 30 + the number of points in the fourth quarter = 50 Subtract 30 from both sides of the equation: the number of points in the fourth quarter = 20 Therefore, the winning team scored 20 points in the fourth quarter.

question:Tom's fruit bowl contains x oranges and 6 lemons. After Tom eats 3 of the fruits, There are 6 fruits remaining in Tom's fruit bowl.

answer:Tom's fruit bowl originally contained 9 pieces of fruit. Here's the logic behind this: 1. We know that Tom's fruit bowl contains "x" oranges and 6 lemons, making a total of (x + 6) fruits. 2. After Tom eats 3 of the fruits, there are 6 fruits left in the bowl. 3. This means that Tom ate (x + 6) - 6 = x fruits. 4. However, we know that Tom only ate 3 fruits, so x must equal 3. 5. Therefore, Tom's fruit bowl originally contained 3 oranges + 6 lemons = 9 pieces of fruit.,To solve this problem, we need to determine the value of x, which represents the number of oranges in Tom's fruit bowl. Let's break down the information given: Number of oranges: x Number of lemons: 6 Number of fruits eaten: 3 Number of fruits remaining: 6 We can set up the equation as follows: Number of oranges - Number of fruits eaten + Number of lemons = Number of fruits remaining x - 3 + 6 = 6 Let's simplify and solve for x: x + 3 = 6 To isolate x, we subtract 3 from both sides of the equation: x + 3 - 3 = 6 - 3 x = 3 The value of x is 3. 3 The answer is: 3,Based on the given information, it seems that the question may contain a discrepancy or typo. Assuming that the number of lemons remains 6 after Tom eats 3 fruits, there couldn't be 6 fruits remaining in the fruit bowl since the total was previously mentioned as x+6 (oranges and lemons combined), before Tom eats any fruits. Please clarify or correct the information provided to accurately answer the question.

question:Ricciana and Margarita joined in their school's long jump event. Ricciana ran and jumped a total of 24 feet - 20 feet for running and 4 feet for jumping. Margarita ran for 18 feet and jumped 1 foot less than twice Ricciana's jump. How much farther did Margarita run and jump than Ricciana?

answer:Let's break down the information given and solve the problem step by step: 1. Ricciana ran for a total distance of 20 feet and jumped for 4 feet. 2. Margarita ran for 18 feet and jumped 1 foot less than twice Ricciana's jump. 3. We need to find out how much farther Margarita ran and jumped than Ricciana. First, let's calculate Ricciana's total distance: Ricciana's total distance = distance run + distance jumped = 20 feet + 4 feet = 24 feet Now let's find out how much Margarita jumped: Twice Ricciana's jump = Ricciana's jump * 2 = 4 feet * 2 = 8 feet But Margarita jumped 1 foot less than twice Ricciana's jump, so: Margarita's jump = Twice Ricciana's jump - 1 = 8 feet - 1 = 7 feet Now let's calculate Margarita's total distance: Margarita's total distance = distance run + distance jumped = 18 feet + 7 feet = 25 feet To find out how much farther Margarita ran and jumped than Ricciana, we can subtract Ricciana's total distance from Margarita's total distance: Farther Margarita ran and jumped = Margarita's total distance - Ricciana's total distance = 25 feet - 24 feet = 1 foot. Therefore, Margarita ran and jumped 1 foot farther than Ricciana., Margarita ran 6 feet less than Ricciana and jumped 2 feet farther than Ricciana. Here's the reasoning: 1. Ricciana ran 20 feet and jumped 4 feet, for a total of 24 feet. 2. Margarita ran 18 feet, which is 2 feet less than Ricciana's running distance (20 - 2 = 18). 3. Margarita's jumping distance was 1 foot less than twice Ricciana's jump: 2 * 4 - 1 = 8 - 1 = 7 feet. 4. To find how much farther Margarita ran and jumped than Ricciana, we take the absolute difference between their distances: - Running: |18 - 20| = 2 feet less - Jumping: |7 - 4| = 3 feet more (but the question states that it's 1 foot less; there might be a mistake in the problem statement) So, based on the given information, Margarita ran 6 feet less than Ricciana and jumped 2 feet farther (again, assuming there's a mistake in the problem statement).,Ricciana ran for 20 feet and jumped for 4 feet, so she covered a total of 20 + 4 = 24 feet. Margarita ran for 18 feet, which is 24 - 18 = 6 feet less than Ricciana's run. Twice Ricciana's jump is 4 x 2 = 8 feet. Margarita jumped 1 foot less than twice Ricciana's jump, so she jumped for 8 - 1 = 7 feet. Therefore, Margarita covered a total of 18 + 7 = 25 feet. To find how much farther Margarita ran and jumped than Ricciana, we subtract Ricciana's total distance from Margarita's total distance: 25 - 24 = 1 foot. Therefore, Margarita ran and jumped 1 foot farther than Ricciana. 1 The answer is: 1

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