Problema Solution

20 children go for a picnic in a bus. They are to sit 2 or 3 to a seat. There are 7 seats. How many seats will have 3 children seated on them?

Answer provided by our tutors

Let

x = the number of seats that have 2 children

y = the number of seats that have 3 children

There are 7 seats:

x + y = 7

20 children go for a picnic in a bus:

2x + 3y = 20

We have the following system of equations:

x + y = 7

2x + 3y = 20

........

click here to see the system of equations solved for x and y

........

x = 1

y = 6

6 seats will have 3 children seated on them.