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question:On a construction site, the Laker cement factory provided 500 bags of cement sold to Mr. Zander at 10 per bag, for which he is given a 5% discount. He also received twenty lorries of construction sand, each carrying 10 tons of sand, sold at 40 per ton. The first ten lorries have a tax rate of 7%, while the remaining lorries have a tax rate of 5%. How much money did Mr. Zander pay for these construction materials?
answer:First, let's calculate the total cost of the cement before the discount: 500 bags of cement * 10 per bag = 5000 Now, let's calculate the discount Mr. Zander gets for the cement: 5% of 5000 = 0.05 * 5000 = 250 Subtracting the discount from the total cost of the cement gives us the amount Mr. Zander has to pay for the cement: 5000 - 250 = 4750 Next, let's calculate the cost of the sand for the first ten lorries, including the tax: Each lorry carries 10 tons of sand, so 10 lorries carry 10 * 10 = 100 tons of sand. The cost of sand per ton is 40, so for 100 tons it would be 100 * 40 = 4000 Now, we calculate the tax for the first ten lorries: 7% of 4000 = 0.07 * 4000 = 280 Adding the tax to the cost of the sand for the first ten lorries gives us: 4000 + 280 = 4280 For the remaining ten lorries, we calculate the cost of the sand in the same way: Again, 10 lorries carry 100 tons of sand, so the cost is 4000. Now, we calculate the tax for the remaining ten lorries: 5% of 4000 = 0.05 * 4000 = 200 Adding the tax to the cost of the sand for the remaining ten lorries gives us: 4000 + 200 = 4200 Finally, we add up the cost of the cement and the sand (including taxes) to find the total amount Mr. Zander paid: 4750 (cement) + 4280 (first ten lorries of sand) + 4200 (remaining ten lorries of sand) = 13230 So, Mr. Zander paid a total of boxed{13230} for the construction materials.
question:is harvest season in the country. Lewis, whose family owns a fruit farm, is busy overseeing their farmers while they are harvesting the fruits. His day starts by going to the apple orchard. The farmers reported that they harvest some sacks of apples from each of the 8 sections of the orchard daily. They harvest 360 sacks of apples every day. How many sacks of apples are harvested from each section daily?
answer:To find out how many sacks of apples are harvested from each section daily, we need to divide the total number of sacks harvested by the number of sections. Total sacks of apples harvested daily = 360 Number of sections in the orchard = 8 Sacks of apples harvested from each section daily = Total sacks of apples harvested daily ÷ Number of sections Sacks of apples harvested from each section daily = 360 ÷ 8 Sacks of apples harvested from each section daily = 45 So, boxed{45} sacks of apples are harvested from each section daily.
question:A rectangular grazing area is to be fenced off on three sides using part of a 120 meter rock wall as the fourth side. Fence posts are to be placed every 10 meters along the fence, including the two posts where the fence meets the rock wall. The total fencing material available is 180 meters. What is the fewest number of posts required if the area is 40 m by 80 m? A) 15 B) 16 C) 17 D) 18 E) 19
answer:1. **Identify the dimensions and orientation of the grazing area**: Choose the 80 m side along the rock wall, leaving the two 40 m sides and one 80 m side to be fenced. The total length that needs to be fenced is 40 + 40 + 80 = 160 m, which is less than the 180 m of material available, so the fencing can proceed. 2. **Calculate the number of posts for the 80 m side**: Posts are placed every 10 m, giving frac{80}{10} = 8 intervals. Including both the start and the end, the number of posts needed is 8 + 1 = 9. 3. **Calculate the number of posts for each 40 m side**: Each 40 m side has frac{40}{10} = 4 intervals. Normally, we would need 4 + 1 = 5 posts per 40 m side. However, the posts at the junctions with the rock wall are shared with the 80 m side, so each 40 m side only requires 5 - 1 = 4 extra posts. 4. **Calculate the total number of posts required**: The total number of posts needed is: - 9 posts along the 80 m side. - 4 posts for each of the two 40 m sides, which totals 4 times 2 = 8 posts. - Total posts required = 9 + 8 = 17. 5. **Conclusion**: The fewest number of posts required to fence the specified area, using the rock wall as one side, is 17. The final answer is boxed{C}
question:Peter knows that the distance an airplane travels between two countries is 7019 km, while the distance between Spain and Germany is 1615 km. Peter took a flight from Spain, which made a stopover in Germany, while being there, he receives a call from his brother asking him how many kilometers he has to fly to get to the other country and then return to Spain. What is the distance between Spain and the other country?
answer:To find the distance between Spain and the other country, we need to subtract the distance between Spain and Germany from the total distance Peter knows the airplane travels between the two countries. The total distance between the two countries is 7019 km, and the distance between Spain and Germany is 1615 km. So, the distance between Germany and the other country would be: 7019 km - 1615 km = 5404 km Therefore, the distance between Spain and the other country is boxed{5404} km.