我们有一个关于桌子和椅子价格的问题。已知一张桌子的价钱是一把椅子的10倍，而且一张桌子比一把椅子多288元。让我们设桌子的价格为T元，椅子的价格为C元。
现在我们来建立方程。第一步，设椅子的价格为x元，那么桌子的价格就是10x元。第二步，根据题意，桌子比椅子多288元，所以10x减去x等于288。第三步，化简方程得到9x等于288。
现在我们来求解方程。9x等于288，两边同时除以9，得到x等于288除以9，计算得到x等于32。因此，椅子的价格是32元，桌子的价格是10乘以32等于320元。
最后让我们验证一下答案。首先，桌子价格320元除以椅子价格32元等于10，确实桌子价格是椅子价格的10倍。其次，桌子价格320元减去椅子价格32元等于288元，确实桌子比椅子多288元。因此我们的答案是正确的：椅子32元，桌子320元。
Now we establish the equation. First step, let the price of the chair be x yuan, then the price of the table is 10x yuan. Second step, according to the problem, the table costs 288 yuan more than the chair, so 10x minus x equals 288. Third step, simplify the equation to get 9x equals 288.
Now we solve the equation. 9x equals 288, divide both sides by 9, we get x equals 288 divided by 9, which equals 32. Therefore, the price of the chair is 32 yuan, and the price of the table is 10 times 32 which equals 320 yuan.
Finally let us verify our answer. First, the table price 320 yuan divided by chair price 32 yuan equals 10, confirming that the table price is indeed 10 times the chair price. Second, the table price 320 yuan minus chair price 32 yuan equals 288 yuan, confirming that the table costs 288 yuan more than the chair. Therefore our answer is correct: chair costs 32 yuan, table costs 320 yuan.
To summarize what we have learned: We set the chair price as x yuan and table price as 10x yuan. According to the problem, we established the equation 10x minus x equals 288. Simplifying gives us 9x equals 288, solving we get x equals 32. We verified our answer: chair costs 32 yuan, table costs 320 yuan. The key to solving such problems is correctly setting up variables and establishing equations.