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The eighth grade mathematics olympiad examination questions and answers.
1. There are several red balls and green balls. If each pile is divided into two green balls according to 1 red ball, there are five red balls left after the green balls are divided. If each pile is divided into three red balls and five green balls, there are five green balls left after the red balls are divided. There are (45) red balls and (80) green balls.

In another cleaning, the teacher assigned several people to clean the glass. If two of them each wipe 4 fast, the others wipe 5 fast, and the remaining 22 fast; If no one cleans up $7, it's just finished. There are (10) people to clean the glass, and there are (70) pieces of glass.

35 monkeys, big and small, went to pick peaches together. In the absence of the Monkey King, a big monkey can pick 15 kg in an hour and a small monkey can pick 1 1 kg in an hour. When the Monkey King is present to supervise, each monkey, regardless of size, can pick 12kg per hour. One day, I picked it for eight hours, including the first hour and the last hour under the supervision of the Monkey King. As a result, I picked 4400 kilograms. In this group of monkeys, * * * has 20 little monkeys.

4. A batch of parts, if group A is manufactured separately, will be completed in 36 hours. With the cooperation of Group A and Group B, it is finished in 20 hours now ... As we all know, Group A produces 20 more parts per hour than Group B, so there are (3,600) parts in this batch.

5. A group of people made a batch of Chinese knots. If no one finishes five, it will be nine more than planned. If everyone does four, it will be 15 less than planned. This group has (24) members. They are going to make (1 1 1) Chinese knots.

There are 4000 books in the library, of which 30% are literature books. Later, I bought some literary books, accounting for 50% of the total, and bought literary books (1 600).

7. There is a bag of peanuts. Take out 4/5 kg for the first time, take out the remaining 4/5 kg for the second time, and the bag is still 4/5 kg. This bag of peanuts used to weigh 4.8 kilograms.

8. Three groups of workers ***4 1 made 597 parts, of which the third group had three more workers than the second group, the first group each made 15 parts, the second group did not make 16 parts, and the third group did not make 13 parts. There are (14) people in the first group, (12) people in the second group and (15) people in the third group.

9. Two cars, A and B, drive from city A to city B at the same time. Car A travels 60 kilometers per hour, while car B travels 45 kilometers per hour. It takes five hours to leave. A car meets an oncoming bus, and after another fifty minutes, B car also meets these two buses. This bus travels 45 kilometers per hour.