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question:have purchased 5 blue apples at the store. Suppose my neighbor gives me twice as many yellow apples as I have blue ones, and then I give my son 1/5 of the total number of apples; how many apples do I have now?
answer:I purchased 5 blue apples. My neighbor gives me twice as many yellow apples as I have blue ones, so I receive 5 x 2 = 10 yellow apples from my neighbor. In total, I have 5 blue apples + 10 yellow apples = 15 apples. I give my son 1/5 of the total number of apples, which is 1/5 x 15 = 3 apples. After giving my son 3 apples, I have 15 apples - 3 apples = 12 apples remaining. 12 The answer is: 12
question:f the larger of two consecutive odd integers is three times the smaller, what is the sum of the two integers?
answer:Let the smaller odd integer be x. Then the larger odd integer is x+2. We are given that the larger integer is three times the smaller integer, so we can write the equation x+2=3x. Simplifying this equation gives 2x=2, so x=1. Therefore, the two consecutive odd integers are 1 and 3, and their sum is 1+3=boxed{4}. The answer is: 4
question:The ratio of irises to roses in Nikki's garden is 2:5. She currently has 25 roses. She is planning to add 20 more roses and enough irises to keep the same ratio. How many irises will she have in total after this addition?
answer:The current ratio of irises to roses is 2:5. Since Nikki currently has 25 roses, she has frac{2}{5} cdot 25 = 10 irises. After adding 20 more roses, she will have a total of 25 + 20 = 45 roses. To maintain the same ratio, she needs to add frac{2}{5} cdot 20 = 8 irises. Therefore, Nikki will have a total of 10 + 8 = boxed{18} irises after this addition. The answer is: 18
question:Nate got lost looking for his car in the airport parking lot. He had to walk through every row in Section G and Section H to find it. Section G has x rows that each hold 10 cars. Section H has 20 rows that each hold 9 cars. If Nate can walk past 11 cars per minute, how many minutes did he spend searching the parking lot? If we know the answer to the above question is 30, what is the value of unknown variable x?
answer:Section G has x rows that each hold 10 cars, so the total number of cars in Section G is 10x. Section H has 20 rows that each hold 9 cars, so the total number of cars in Section H is 20 * 9 = 180. The total number of cars in both sections is 10x + 180. Nate can walk past 11 cars per minute, so the total time he spent searching the parking lot is (10x + 180) / 11 minutes. We are given that he spent 30 minutes searching the parking lot, so we can write: (10x + 180) / 11 = 30. Multiplying both sides by 11, we get: 10x + 180 = 330. Subtracting 180 from both sides, we get: 10x = 150. Dividing both sides by 10, we get: x = 15. The value of x is 15. 15 The answer is: 15