Respuesta :
Answer:
the number of adult ticket sold is 570
[tex]x=570[/tex]Explanation:
Let x represent the number of adult ticket and y represent the number of child's ticket.
Given that he charges $5 for an adult's ticket and $2 for a child's ticket.
For one event, he sold 785 tickets.
So, we have;
[tex]x+y=785\text{ -----1}[/tex]he sold 785 tickets for $3280.
Then;
[tex]5x+2y=3280\text{ ------2}[/tex]let us solve by substitution.
make y the subject of formula in equation 1 and substitute to equation 2;
[tex]y=785-x[/tex]substituting to equation 2;
[tex]\begin{gathered} 5x+2y=3280 \\ 5x+2(785-x)=3280 \\ 5x+1570-2x=3280 \\ 5x-2x=3280-1570 \\ 3x=1710 \\ x=\frac{1710}{3} \\ x=570 \end{gathered}[/tex]Therefore, since x represent the number of adult tickets sold, then the number of adult ticket sold is 570
[tex]x=570[/tex]