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question:If Pauline owns a total of 125 matchbox cars, with 64% of them being regular cars and 8% being trucks, how many convertibles does she own?
answer:We know that Pauline owns 125 matchbox cars in total. 64% of her cars are regular cars, so she has 64% of 125 regular cars, or 64/100 * 125 = 80 regular cars. 8% of her cars are trucks, so she has 8% of 125 trucks, or 8/100 * 125 = 10 trucks. To find out how many convertibles she owns, we simply subtract the regular cars and the trucks from the total number of cars she has. So, 125 - 80 - 10 = 35 convertibles. Pauline owns 35 convertible matchbox cars., To determine the number of convertibles Pauline owns, we first need to find out how many regular cars and trucks she has. We are given the following information: Total matchbox cars = 125 Percentage of regular cars = 64% Percentage of trucks = 8% First, let's calculate the number of regular cars: Regular cars = Total matchbox cars * Percentage of regular cars = 125 * 0.64 = 79.2 Since Pauline cannot own a fraction of a car, we can round this value to the nearest whole number, which is 80 regular cars. Next, let's calculate the number of trucks: Trucks = Total matchbox cars * Percentage of trucks = 125 * 0.08 = 10 Now, we can find the number of convertibles by subtracting the number of regular cars and trucks from the total number of matchbox cars: Convertibles = Total matchbox cars - Regular cars - Trucks = 125 - 80 - 10 = 35 So, Pauline owns 35 convertible matchbox cars.,If 64% of the matchbox cars are regular cars, then Pauline owns 0.64 * 125 = 80 regular cars. If 8% of the matchbox cars are trucks, then Pauline owns 0.08 * 125 = 10 trucks. To find out how many convertibles she owns, we can subtract the number of regular cars and trucks from the total number of matchbox cars: 125 - 80 - 10 = 35. Therefore, Pauline owns 35 convertibles. 35 The answer is: 35
question:If each crate can hold a maximum weight of 20kg and Daryl has 15 crates to fill, but he also has 4 bags of nails weighing 5kg each, 12 bags of hammers weighing 5kg each, and 10 bags of wooden planks weighing 30kg each (which can be divided), how much weight will Daryl need to leave out of the crates to meet the weight limit?
answer:First, let's find out the total weight of the bags of nails, hammers, and wooden planks: 4 bags of nails * 5 kg each = 20 kg 12 bags of hammers * 5 kg each = 60 kg 10 bags of wooden planks * 30 kg each = 300 kg Now, let's calculate the total weight that Daryl has: Total weight = weight of bags + weight of crates Total weight = 20 kg + 60 kg + 300 kg + (15 crates * 20 kg each) = 20 kg + 60 kg + 300 kg + 300 kg = 680 kg Since each crate can hold a maximum weight of 20 kg, let's find out how much weight can be put in the crates: Possible weight in crates = 15 crates * 20 kg each = 300 kg Now, let's find out the weight that needs to be left out: Weight to leave out = Total weight - (weight of bags + possible weight in crates) Weight to leave out = 680 kg - (20 kg + 60 kg + 300 kg) = 680 kg - 380 kg = 300 kg Daryl needs to leave out 300 kg of weight to meet the weight limit in the crates., First, let's find the total weight of the bags of nails, hammers, and wooden planks. Weight of nails = 5kg/bag * 4 bags = 20kg Weight of hammers = 5kg/bag * 12 bags = 60kg Weight of wooden planks = 30kg/bag * 10 bags = 300kg Now let's find the total weight that can be held in 15 crates: Total crate weight limit = 15 crates * 20kg/crate = 300kg However, the total weight of the bags of wooden planks is already 300kg, and they need to be divided among the crates. This means that the crates are already at their weight limit due to just the wooden planks. Since Daryl cannot exceed the weight limit of 20kg per crate, he will need to leave out all of the additional weight from the nails and hammers. So, the total weight that Daryl needs to leave out is: Weight of nails + Weight of hammers = 20kg + 60kg = 80kg Therefore, Daryl needs to leave out 80kg of nails and hammers from the crates to meet the weight limit.,Daryl has 4 bags of nails weighing 5kg each, so the total weight of the nails is 4 * 5 = 20kg. He also has 12 bags of hammers weighing 5kg each, so the total weight of the hammers is 12 * 5 = 60kg. He also has 10 bags of wooden planks weighing 30kg each, so the total weight of the wooden planks is 10 * 30 = 300kg. The total weight of all the items is 20 + 60 + 300 = 380kg. Daryl has 15 crates to fill, and each crate can hold a maximum weight of 20kg, so the total weight capacity of the crates is 15 * 20 = 300kg. To meet the weight limit, Daryl will need to leave out 380 - 300 = 80kg of weight. 80 The answer is: 80
question:In a Math competition, Sammy scored 20 points, Gab scored twice as many as Sammy's score, while Cher scored twice as many as Gab's score. If their opponent scored 85 points, how many more points do they have than their opponent?
answer:Let's calculate the scores for Gab and Cher first, based on their relationship with Sammy's score: Gab's score = 2 * Sammy's score = 2 * 20 = 40 points Cher's score = 2 * Gab's score = 2 * 40 = 80 points Now, let's find the total score of Sammy, Gab, and Cher: Total score = Sammy's score + Gab's score + Cher's score = 20 + 40 + 80 = 140 points Finally, let's find out how many more points they have than their opponent: Difference = Their total score - Opponent's score = 140 - 85 = 55 points So, Sammy, Gab, and Cher have 55 more points than their opponent.,Gab scored twice as many points as Sammy, so Gab scored 20 x 2 = 40 points. Cher scored twice as many points as Gab, so Cher scored 40 x 2 = 80 points. Together, Sammy, Gab, and Cher scored 20 + 40 + 80 = 140 points. Their opponent scored 85 points, so they have 140 - 85 = 55 more points than their opponent. 55 The answer is: 55,Let's break down the scores: Sammy scored 20 points. Gab scored twice as many as Sammy, so Gab scored 20 x 2 = 40 points. Cher scored twice as many as Gab, so Cher scored 40 x 2 = 80 points. Their total score is: 20 + 40 + 80 = 140 points. Now, to find out how many more points they have than their opponent: 140 - 85 = 55 points. They have 55 more points than their opponent.
question:Jennifer bought twice as many candies as Emily and three times as many as Bob bought. If Emily bought 6 candies, how many candies did Bob buy?
answer:Bob bought 2 candies. Here's the logic behind this: 1. We know that Jennifer bought twice as many candies as Emily, and Emily bought 6 candies. 2. So, Jennifer bought 2 * 6 = 12 candies. 3. We also know that Jennifer bought three times as many candies as Bob. 4. Therefore, Bob bought 12 / 3 = 4 candies less than Emily. 5. Since Emily bought 6 candies, Bob must have bought 6 - 4 = 2 candies. Hence, Bob bought 2 candies.,If Emily bought 6 candies and Jennifer bought twice as many as Emily, then Jennifer bought 6 x 2 = 12 candies. Since Jennifer also bought three times as many as Bob, then Bob bought 12 ÷ 3 = 4 candies.,If Jennifer bought twice as many candies as Emily, then Jennifer bought 2 * 6 = 12 candies. And if Jennifer bought three times as many candies as Bob, then Bob bought 12 / 3 = 4 candies. So, Bob bought 4 candies. 4 The answer is: 4