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Interesting mathematical knowledge in life
1. A garment worker can produce 4 coats or 7 pairs of trousers per person every day, and one coat and one pair of trousers make a suit. At present, 66 workers produce, how many sets of clothes can you produce at most every day?

Xiao Wang has three stamp albums, one fifth of all stamps are in the first one, n divided by 8(N is a non-zero natural number) is in the second one, and the remaining 39 stamps are in the third one. How many stamps does Xiao Wang have?

Xiao Ming looked at his report card and predicted that if the next math test is 100, the total average score will be 9 1. If he gets 80 points in the next exam, the overall average score will be 86 points. How many times did Xiao Ming take the math statistics exam?

1

To set up X workers to produce coats, you must

4x=7×(66-x)

Then x=42.

Therefore, 4×42= 168 sets of clothes can be produced in one day.

2

Suppose it has x stamps.

x/5+N/8+39=x

Simplified to 4x/5-N/8=39.

According to the meaning of the question, n is the ending of 8, 4x/5 is an even number, and 39 is an odd number. Then n is the odd tail of 8. Let N=(2t+ 1)×8 to get 4x/5-(2t+ 1)=39.

x=( 100+5t)/2

Then 5t is an even number, let t=2w, x=( 100+5×2w)/2=50+5w.

Therefore, * * has 50+5w stamps, w is 0, 1, 2, 3, 4, ......

At this time N=32w+8.

three

There have been X exams, and now the average score is A.

(xa+ 100)/(x+ 1)= 9 1

(xa+80)/(x+ 1)=86

The two expressions are subtracted, and 20/(x+ 1)=5.

Then x=3 a=88

That is, the results of the existing three exams.