Mathematical problems in football
The ball is made of many small pieces of black and white leather, but the students can't count how many pieces are white, only 12 pieces are black. Students come to ask the teacher how to solve this problem. Teachers can inspire students to continue to observe this football. What is the geometric shape of the pattern on this football? The students immediately replied that the white block is hexagonal and the black block is pentagonal. Through further inspiration, students can find the law that five sides of each black skin are bonded to one side of five white skins respectively. Three black skins are bonded on three sides of each white skin, so that the 12 black skin on the surface of the closed football is closely connected with several white skins, and the number of edges of the white skin and the black skin will not be left or missing. If a white skin has x blocks, it has 6x sides. Of the 6x sides, some are black and white, and some are black and white. Obviously, there are 3x edges connected with black leather. It will soon be found that this problem can be solved by equations. Solution: Let white skin * * * have x blocks, then it * * * has 6x sides. Wherein the number of edges stitched together with black leather is 3x. There are 12 black skins * *, and each black skin * * has 5* 12=60 sides. According to the meaning of the question, solving this equation is 3x=60 and x=20. So the white skin has 20 yuan.