Party A, Party B, Party C and Party D take the same money and buy several goods with the same specifications in partnership. After the goods are repurchased, Party A and Party C take 3, 7 and 14 more goods than Party D respectively. At the final settlement, Party B pays Party D 14 yuan, so how much should Party C pay Party D?

Analysis: How much should Party C pay Party D? According to (3+7+ 14)÷4=6 pieces, after the average score, each person can get 6 pieces. Then A takes less 6-3=3 pieces, B takes more 7-6= 1 piece, and C takes more 14-6=8 pieces; Unit price per piece: 14÷ 1= 14 yuan; C should pay A 3 yuan and D 6- 1=5 yuan; So Party C pays Party D: 5× 14=70 yuan.

Solution: (3+7+ 14)÷4=6 blocks, 14-6=8 blocks; 14 present (7-6) =14 yuan; 14×(6- 1)=70 yuan; A: C should be paid to Ding 70 yuan.

First, the issue of normalization.

When solving some application problems, it is often necessary to find out the "unit quantity" first, and then use this "unit quantity" as the standard to find out the required quantity according to other conditions. This kind of application problem is called standardization problem. The "unit quantity" here often refers to the workload, unit price, single output, speed and so on in unit time.

Normalization problems can be divided into two categories: the normalization problem that "unit quantity" can be obtained by one-step operation is called "single normalization"; The normalization problem of "unit quantity" can be solved by two-step operation, which is called "double normalization".

Second, summarize the problem.

It means that when solving some application problems, you need to find out the "total amount" first, and then calculate the required quantity according to other conditions. The "total" here refers to the total distance, total output, total work, total price, etc. Summary problem refers to the application problem of calculating the total amount first and then the required amount. The problem of induction implies that the "total" is unchanged, that is, the product is unchanged, so this kind of problem can also be solved by inverse proportion knowledge.