This topic is "the problem of buying a hundred chickens for one hundred dollars". It is difficult for ordinary primary school students and even junior high school students to understand indefinite equations. This paper adopts the method of "grouping" to solve the problem, which can be understood by primary school students.

Analysis and Solution Because 65,438+000 pence is used to buy 65,438+000 chickens, an average of 65,438+0 pence is used to buy 65,438+0 chickens. 4 chickens in each group: 1 hen and 3 chicks, worth 4p. (Because 1 hen is 3 pence, and 3 chickens 1 penny), buying 1 chicken is exactly the average 1 penny.

7 chickens in each group: 1 rooster, 6 chickens. * * * is worth 7 pence. (Because 1 rooster has 5p, 3 chickens have 1 penny, and 6 chickens have 2p), buying 1 chicken is just the average 1 penny.

No matter how many large groups and groups 100 chickens can be divided into, they will buy 1 chicken per 1 penny on average. 100 How many large groups and groups can chickens be divided into?

Through analysis and exploration, we can find the following situations.

① Divided into 4 groups, 18 group.

The roosters in the four groups are: 1×4=4 (only)

Four groups of chickens: 6×4=24 chickens (only)

18 hens: 1× 18= 18 (only).

Chickens in 18 group are 3× 18=54 (only).

In this case, there are 4 cocks, 0/8 hens/kloc and 78 chickens (24+54 =).

② Divided into 8 groups, 1 1 group.

Eight groups of cocks are: 1×8=8 (only).

Eight groups of chickens: 6×8=48 chickens.

There are 1 1 hens in the flock:/kloc-0 /×11=1(only).

1 1 group chickens: 3× 1 1=33 (only).

In this case, there are 8 cocks, 1 1 hen and (48+33=)8 1 chicken.

③ Divided into 12 group and 4 groups.

The roosters in the 12 group are: 1× 12= 12 (only).

Chickens in 12 group are 6× 12=72 (only).

The hens in four groups are: 1×4=4 (only)

Four groups of chickens were: 3×4= 12 (only)

In this case, there are 12 cocks, 4 hens and 84 chicks (72+ 12 =). So there are three possibilities for this question * * *: the rooster buys 4, the hen buys 18, and the chicken buys 78; Or 8 cocks, 8 hens 1 1 chicken; Or 12 roosters, 4 hens and 84 chickens.