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1. The number of defective machine tools is one ninth of the number of genuine machine tools. After review, it was found that one of the genuine machine tools is unqualified. At this time, the number of defective machine tools is three-thirds of the number of genuine machine tools. How many machine tools are there in total? 2. A box of sugar weighs 500g. If you eat two fifths of this box of sugar and the rest weighs 340g, how much does the original sugar weigh? 3. A shopping mall delivered a batch of soap and sold 15 boxes less than one sixth of the soap. At this time, 87.5% of the soap was not sold. How many boxes are there in total? 4. There are 52 workers in a workshop, one fourth of them are male workers, one less than one third of them are female workers. How many are male and female workers in this workshop? 5. The speed of the local train is 5 / 7 of that of the express train. The two trains leave from station a and station B at the same time and go in opposite directions. They meet 36 kilometers away from the midpoint. How many kilometers did the express train travel when they meet? Try not to use equations to solve these five problems, Equations are OK. Send the answers
1. There are two known conditions: defective / genuine = 1 / 9, (defective + 1) / (genuine - 1) = 3 / 22, 9 defective = 1, genuine substitute into the second formula, 22 defective + 22 = 27 defective - 3, defective = 5, then genuine = 45.2.500-340 = 160 = 2 / 5 sugar weight, sugar weight = 4003. (1 / 6 soap number - 15 boxes) / soap number = 1-87.5% = 1 / 8, namely soap
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