Current location - Health Preservation Learning Network - Slimming men and women - One of the biscuits is less than 40 pieces, which are distributed to four people on average, and the remaining two pieces are given to six or nine people. How many cookies are there in a * * *? Column
One of the biscuits is less than 40 pieces, which are distributed to four people on average, and the remaining two pieces are given to six or nine people. How many cookies are there in a * * *? Column
One of the biscuits is less than 40 pieces, which are distributed to four people on average, and the remaining two pieces are given to six or nine people. How many cookies are there in a * * *? Column calculation Answer: There are 38 cookies.

There are X biscuits, which are distributed to 4 people, 6 people and 9 people, and each person can get a, b and c biscuits respectively.

X=4a+2

X=6b+2

X=9c+2

That is 4a+2=6b+2=9c+2.

a=9c/4 b=9c/6

Because there are less than 40 biscuits, X = 9c+2.

Because the number of cookies is a positive integer, the value of c may be 1, 2, 3, 4.

When c = 1, 2, 3, neither a nor b is an integer.

Only when c=4, a=9c/4=9 and b=9c/6=6 can the requirements be met, that is, the number of biscuits is X=4a+2=38.