10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Case Based (MCQs) - Pair of Linear Equations in Two Variables

Find the number of children and adults who bought tickets on that particular day are:

A) 1100 and 900

B) 1200 and 800

C) 1300 and 700

D) 1500 and 300

Correct Answer: B

Solution :

\[x+y=2000\] ...(1)

\[x+2y=2800\] ...(2)

From eq.(1), \[x=2000-y\] ...(3)

Substituting this value of x in eq. (2), we get,

\[2000-y+2y=2800\]

or \[2000+y=2800\]

\[y=2800-2000=800\]

Therefore, \[x=2000-800=1200\]

We find that \[1,200\] children and 800 adults bought tickets to the park on that day.

So, option [b] is correct.