The students went boating in the park. There were 60 people and hired 16 boats. Each big boat made four people and each small boat lived three people. How many boats were there

The students went boating in the park. There were 60 people and hired 16 boats. Each big boat made four people and each small boat lived three people. How many boats were there

Suppose there are x big boats and Y small boats
x+y=16
4x+3y=60
The solution is x = 12, y = 4
There are 12 big boats and 4 small boats
The above is the solution when every ship is just full. If not, it is a system of inequalities
x+y=16 ①
4x+3y>=60 ②
X = 16-y is obtained from ①, and Y is obtained by substituting it into ②