Twenty-four boys went for a spring outing and stayed in a hotel with two rooms and three rooms. There are several different arrangements.

* * * There are five different arrangements. The specific arrangement method is as follows.

Solution: Suppose X has two rooms and Y has three rooms.

Then the equation can be listed as 2x+3y=24 according to the meaning of the question. And both x and y are nonnegative integers.

Then we know that 0≤x≤ 12, 0≤y≤8.

Then when y=0, x =12; When y=2, x = 9；; When y=4, x = 6；; When y=6, x = 3；; When y=8, x=0.

There are five arrangements for a * *, namely 12 double room and 0 triple room or 9 double room and 2 triple room or 6 triple room and 4 triple room or 3 triple room and 6 triple room or 0 triple room and 8 triple room.

Equal attribute

Subtract a number or formula from both sides of the equation at the same time, and the result is still equal.

Adding (or subtracting) the same algebraic expression on both sides of the equation still holds.

When both sides of the equation are multiplied or divided by the same non-zero algebraic expression, the equation still holds.

Baidu Encyclopedia-Equation