Problema Solution

A ticket booth sold 360 tickets and collected $984 in ticket sales. Adult tickets are $3.50 and child tickets are $1.50. How many tickets of each type were sold?

Answer provided by our tutors

Totally they earned = $984

from 360 tickets.

 

suppose x is the number of audlt tickets

and y is the number of child tickets.

 

x+y = 360

and each child ticket costs =1.5 and adult ticket cost 3.5$.

that means.

3.5*x+1.5y=984

x+y=360

solving both the equations.

 

y=360-x substituing in the first equation.

3.5*x+1.5*(360-x) = 984

(3.5-1.5)x+540 = 984

2x=  444

x=222

y = 360-222 = 138