Question

The number of students who chose lunch was 5 more than the number of students who chose breakfast. Write a system of linear equations that represents the numbers of students who chose breakfast and lunch. Let x x represent the number of students who chose breakfast and y y represent the number of students who chose lunch. (50 students picked, 25 picked dinner the rest picked lunch and breakfast)

Answer 1

The system of linear equations are
`y=5+x` and
`x+y=25`

Explanation:

Given : The number of students who chose lunch was 5 more than the number of students who chose breakfast. Let x represent the number of students who chose breakfast and y represent the number of students who chose lunch.

(50 students picked, 25 picked dinner the rest picked lunch and breakfast)

To find : Write a system of linear equations that represents the numbers of students who chose breakfast and lunch ?

Solution :

The number of students who chose breakfast be 'x'

The number of students who chose lunch be 'y'.

The number of students who chose lunch was 5 more than the number of students who chose breakfast.

i.e.
`y=5+x`

Now, Total student were 50 and 25 picked dinner the rest picked lunch and breakfast i.e. 25.

So,
`x+y=25`

Therefore, the system of linear equations are
`y=5+x` and
`x+y=25`