"Mathematics in Beer Production" PPT courseware 7

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"Mathematics in Beer Production" PPT courseware 7

1. Situation introduction

2 boxes can hold 24 bottles of beer.

There are currently 480 bottles of beer.

How many boxes are needed?

A batch of beer is transported by 8-ton trucks, which requires 15 trucks; now it is transported by 10-ton trucks.

How many cars are needed?

What mathematical information did you learn from the diagram?

What questions can you ask based on this information?

2. Cooperation and exploration

How many boxes are needed to hold 480 bottles of beer?

Let’s sort out the conditions and questions first, and then answer them.

Think about it, what is the relationship between the total number of bottles of beer and the number of boxes required?

Because the total number of bottles/boxes of beer = the number of bottles per box (certain)

Therefore, the total number of bottles of beer is directly proportional to the number of cases.

Solution: Suppose χ boxes are needed to hold 480 bottles of beer.

480 24

x 2

24x960

x 40

Answer: 40 boxes are needed to hold 480 bottles of beer.

1. The "King of the Sea" Great White Shark can swim 140 kilometers in 2 hours. At this speed, how many kilometers can it swim in 5 hours?

Because distance/time = speed (certain), distance and time are directly proportional.

Solution: Let’s swim χ kilometers in 5 hours.

x/5=140/2

x=350

Answer: 350 kilometers in 5 hours.

2. The sixth-grade students did broadcast exercises, with 20 people standing in each row, exactly 12 rows. If 16 people stand in each row, how many rows can they stand in?

The number of people in each row × the number of rows = the total number of people (certain). The number of people in each row is inversely proportional to the number of rows.

Solution: If 16 people stand in each row, they can stand in x rows.

16χ = 20×12

16χ = 240

χ = 15

Answer: If 16 people stand in each row, they can stand in 15 rows.

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Update Time: 2024-11-18

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