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question:On Tuesday, a fruit vendor sold 2.5 dozen lemons and 5 dozens avocados. What is the total number of fruits that the fruit vendor sold?
answer:On Tuesday, the fruit vendor sold 2.5 dozen lemons and 5 dozens avocados. To find the total number of fruits, we need to multiply the number of dozens by 12 (the number of fruits in a dozen) and then add the total number of lemons to the total number of avocados. Let's calculate this step-by-step: 1. Multiply 2.5 (lemons) by 12: 2.5 * 12 = 30 (lemons) 2. Multiply 5 (avocados) by 12: 5 * 12 = 60 (avocados) 3. Add the total number of lemons to the total number of avocados: 30 (lemons) + 60 (avocados) = 90 So, the fruit vendor sold a total of 90 fruits on Tuesday.,A dozen is equal to 12, so 2.5 dozen lemons is equal to 2.5 x 12 = 30 lemons. And 5 dozens avocados is equal to 5 x 12 = 60 avocados. Therefore, the fruit vendor sold a total of 30 + 60 = 90 fruits. 90 The answer is: 90, To find the total number of fruits sold, we first need to convert the numbers of lemons and avocados from dozens to individual units. We know that: 1 dozen = 12 units So, 2.5 dozen lemons = 2.5 * 12 = 30 lemons 5 dozens avocados = 5 * 12 = 60 avocados Now, we can add the number of lemons and avocados to find the total number of fruits sold: Total fruits sold = Lemons + Avocados = 30 + 60 = 90 Therefore, the fruit vendor sold a total of 90 fruits on Tuesday.
question:Beckett is x and is three years younger than Olaf, while Shannen is two years younger than Olaf. If Jack is five more than twice as old as Shannen, what is the sum of the ages of all 4 people? If we know the answer to the above question is 71, what is the value of unknown variable x?
answer:First, let's find an expression for each person's age in terms of Olaf's age. Beckett's age = x Olaf's age = y (unknown) Shannen's age = y - 2 Jack's age = 2(y - 2) + 5 = 2y - 4 + 5 = 2y + 1 Now, the sum of all four ages is given as 71. So, x + y + (y - 2) + (2y + 1) = 71 x + 4y - 1 = 71 x = 71 - 4y + 1 x = 72 - 4y We don't have enough information to find the exact value of y or x. However, since x is three years younger than Olaf, we know that: x = y - 3 Substituting the expression for x from above into this equation, we get: y - 3 = 72 - 4y 5y = 75 y = 15 So, Olaf is 15 years old. Since x = y - 3, we find that Beckett is: x = 15 - 3 x = 12 So the value of unknown variable x is 12.,Let's denote the ages of Beckett, Olaf, Shannen, and Jack as B, O, S, and J, respectively. We also know that: B = x O = B + 3 = x + 3 S = O - 2 = (x + 3) - 2 = x + 1 J = 2S + 5 = 2(x + 1) + 5 = 2x + 2 The sum of the ages of all 4 people is: B + O + S + J = x + (x + 3) + (x + 1) + (2x + 2) = 5x + 6 We are given that the sum of their ages is 71, so we have the equation: 5x + 6 = 71 By subtracting 6 from both sides, we get: 5x = 65 Now, by dividing both sides by 5, we find the value of x: x = 13,We know that Beckett is x and is three years younger than Olaf, so Olaf is x + 3. We also know that Shannen is two years younger than Olaf, so Shannen is x + 3 - 2 = x + 1. Jack is five more than twice as old as Shannen, so Jack is 2(x + 1) + 5 = 2x + 2 + 5 = 2x + 7. The sum of the ages of all 4 people is Beckett's age (x) + Olaf's age (x + 3) + Shannen's age (x + 1) + Jack's age (2x + 7). We are given that the sum of the ages is 71, so we can write: x + x + 3 + x + 1 + 2x + 7 = 71. Combining like terms, we get: 5x + 11 = 71. Subtracting 11 from both sides, we get: 5x = 60. Dividing both sides by 5, we get: x = 12. The value of x is 12. 12 The answer is: 12
question:Hershel has x betta fish and 15 goldfish in a bowl. His friend Bexley brings him 2/5 times as many betta fish and 1/3 times as many goldfish. If Hershel gifts his sister 1/2 of the fish, calculate the total number of fish he has remaining in the bowl. If we know the answer to the above question is 17, what is the value of unknown variable x?
answer:First, let's find out how many additional betta fish and goldfish Bexley brought. Betta fish: 2/5 * x Goldfish: 1/3 * 15 Now Hershel has: (x + 2/5*x) betta fish (15 + 1/3*15) goldfish After gifting his sister 1/2 of the fish, he has: (x + 2/5*x - x/2) betta fish (15 + 1/3*15 - 15/2) goldfish We know the total number of fish remaining is 17, so: (x + 2/5*x - x/2) + (15 + 1/3*15 - 15/2) = 17 Solving this equation: x/10 + 5 + 5/6 - 5/2 = 17 x/10 + 30/6 - 15/2 = 17 x/10 + 30 - 45 = 17 x/10 = 18 - 30 x/10 = -12/10 x = -12 However, having a negative number of fish doesn't make sense. It appears there is a mistake in the question or it's impossible to determine the value of x based on the given information.,Hershel initially has x betta fish and 15 goldfish, so the total number of fish he has is x + 15. His friend Bexley brings him 2/5 times as many betta fish as Hershel has, which is (2/5)*x betta fish. His friend also brings him 1/3 times as many goldfish as Hershel has, which is (1/3)*15 = 5 goldfish. The total number of fish Bexley brings is (2/5)*x + 5. The total number of fish Hershel has after Bexley brings him fish is x + 15 + (2/5)*x + 5 = (7/5)*x + 20. Hershel gifts his sister 1/2 of the fish, so the number of fish he has remaining is (1/2)*(7/5)*x + 20 = (7/10)*x + 10. We are given that the total number of fish Hershel has remaining is 17, so we can write: (7/10)*x + 10 = 17. Subtracting 10 from both sides, we get: (7/10)*x = 7. Multiplying both sides by 10/7, we get: x = 10. The value of x is 10. 10 The answer is: 10,Hershel initially has x betta fish and 15 goldfish. Bexley brings Hershel 2/5 times as many betta fish, which is (2/5)x betta fish, and 1/3 times as many goldfish, which is (1/3) * 15 = 5 goldfish. So, in total, Hershel has x + (2/5)x betta fish, and 15 + 5 = 20 goldfish. Hershel gives his sister 1/2 of the fish, which is (1/2)(x + (2/5)x + 20). The remaining number of fish in the bowl is (1/2) - (x + (2/5)x + 20) = (1/2)(x + (2/5)x) - 10. We are given that the total number of fish remaining in the bowl is 17, so we can set up the equation: (1/2)(x + (2/5)x) - 10 = 17. Solving the equation, we get: (1/2)(1.6x) - 10 = 17. 0.8x - 10 = 17. Adding 10 to both sides, we get: 0.8x = 27. Dividing both sides by 0.8, we get: x = 33.75. Since the number of fish cannot be a fraction, we need to round down to the nearest whole number. Therefore, the value of x is 33.
question:If Estevan initially had 24 blankets and one-third of them had polka-dot prints, and his mother gave him 2 more polka-dot print blankets for his birthday, how many polka-dot blankets does Estevan have in total?
answer:Estevan initially had 24 blankets, and one-third of them were polka-dot print. To find out how many polka-dot blankets he had at first, we can calculate: Polka-dot blankets = Total blankets * (1/3) = 24 * (1/3) = 8 blankets Then, Estevan's mother gave him 2 more polka-dot print blankets for his birthday. Now, we can add these new blankets to the original amount: Total polka-dot blankets = Initial polka-dot blankets + Additional polka-dot blankets = 8 + 2 = 10 blankets So, Estevan has a total of 10 polka-dot print blankets.,If Estevan initially had 24 blankets and one-third of them had polka-dot prints, then he had 24/3 = 8 polka-dot blankets. If his mother gave him 2 more polka-dot print blankets for his birthday, then he now has 8 + 2 = 10 polka-dot blankets in total. 10 The answer is: 10,Estevan initially had 24 blankets, and one-third of them had polka-dot prints. We can calculate one-third of 24 by dividing 24 by 3: 24/3 = 8 So, Estevan initially had 8 polka-dot blankets. On his birthday, his mother gave him 2 more polka-dot print blankets. Now we need to add these 2 blankets to his initial 8 polka-dot blankets: 8 + 2 = 10 Estevan now has 10 polka-dot blankets in total.