[Question]The cost of purchasing two commodities is $827. If the purchase price of the first one exceeds the other by $127, what is the purchase price of the first commodity?
[Answer]Let X be the price of the first commodity, so the price of the second commodity is X - $127. The cost of purchasing two of them is X + (X - $127) = $827. Combining like terms, we get X * 2 - $127 = $827. Subtracting $137 from both sides, we get X * 2 = $954. Dividing both sides by 2, we get X = $477. The answer is 477.
Q: A special school has a deaf-student population 3 times its blind-student population. If there are 180 students in total, how many blind students are there?
A: Let the number of blind students be x. The number of deaf students will then be 3 * x = 3x students. The total number of students is x + 3x = 180 students. Combining like terms gives 4x = 180. So the value of x is 180 / 4 = 45. The answer is 45.
Question: There are two warehouses. The first warehouse has twice as many boxes as the second warehouse. If the first warehouse has 400 boxes, how many boxes are there in both warehouses combined?
Answer: The second warehouse has 400 / 2 = 200 boxes. Collectively, there are 400 + 200 = 600 boxes in the first and second warehouse. The answer is 600.
[Question]Ginger owns a flower shop, where she sells roses, lilacs, and gardenias. On Tuesday, she sold three times more roses than lilacs, and half as many gardenias as lilacs. If she sold 10 lilacs, what is the total number of flowers sold on Tuesday?
[Answer]With 10 lilacs sold, three times more roses than lilacs is 3 * 10 = 30 roses. Half as many gardenias as lilacs is 10 / 2 = 5 gardenias. In total, there were 10 + 30 + 5 = 45 flowers sold on Tuesday. The answer is 45.
Q: Josh wants to build a square sandbox that is 3 ft long, 3 ft wide for his son. He can buy sand in 3 sq ft bags for $4.00 a bag. How much will it cost him to fill up the sandbox?
A: The sandbox is 3' long, 3' wide so the sq footage of the sandbox is 3 * 3 = 9 sq ft. He needs 9 sq ft of sand to fill the sandbox and he can buy it in 3 sq ft bags so he needs 9 / 3 = 3 bags of sand. The sand costs $4.00 a bag and he needs 3 bags so it will cost him 4 * 3 = $12.00 in sand. The answer is 12.
Question: Heisenberg owns a pharmacy. He earned a total of $80 from 100 mg amoxicillin and $60 from 500 mg amoxicillin every week. If each capsule of 100 mg amoxicillin costs $5 and each capsule of 500 mg amoxicillin costs $2, how many capsules of amoxicillin does he sell every 2 weeks?
Answer:
Heisenberg sells a total of $80 / 5 = 16 capsules of 100 mg amoxicillin every week. So, the total number of 100 mg amoxicillin he sells every 2 weeks is 16 x 2 = 32. And he sells $60 / 2 = 30 capsules of 500 mg amoxicillin every week. So, the total number of 500 mg amoxicillin he sells every 2 weeks is 30 x 2 = 60. Therefore, the total number of capsules he sells every 2 weeks is 60 + 32 = 92. The answer is 92.