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A variety of ideas and methods to solve a sixth-grade math problem.
Huaguoshan Fruit Shop delivered 345 kilograms of apples, bananas and pears. The ratio of apples to bananas is 2:3, and the ratio of bananas to pears is 6:5. How many Jin did each of the three fruits in Huaguoshan Fruit Shop bring?

Method 1:

Thinking, the key to this problem is to ask the proportion of apples, bananas and pears in Huaguoshan Fruit Shop.

Because it is known that the ratio of apples to bananas is 2:3, and the ratio of bananas to pears is 6:5, and there are bananas in both ratios, if the ratio of apples to bananas is 4:6, then the ratio of apples, bananas and pears can be calculated. Namely:

Apple: banana: pear =4:6:5, so

4 165 = 15

Apple: 345x4/ 15=92 (kg)

Banana: 345x6/ 15= 138 (kg)

Pear: 345x5/15 =115 (kg)

A: A little.

Method 2:

Idea: Find out the proportion of apples, bananas and pears in Huaguoshan Fruit Shop. The method is the same as the first one.

Apple: banana: pear =4:6:5, that is, if the fruit of Huaguoshan Fruit Shop is divided into 15 parts, apples account for 4 parts, bananas account for 6 parts and pears account for 5 parts.

Let each fruit shop be X, then apples are 4x, bananas are 6x and pears are 5x. According to the meaning of the question, a simple equation is obtained:

4x 6x x5x = 345

15x=345,x=23 .

So Apple: 23X3=92 (kg),

Banana: 23x6= 138 (kg),

Pear: 23X5= 1 15 (kg).

A: A little.