Respuesta :
Given:
500 tickets were sold for a play. The tickets cost $7.50 for adults and $4.00 for children. A total of $3,312.50 was received for all the tickets sold on that Sunday party.
Required:
How many adults and children attended the play
Explanation:
Consider x numbers of childern and y number of adults are there
so total number of tickets is 500
it means as equation 1
[tex]x+y=500[/tex]now the tickets cost $7.50 for adults and $4.00 for children and total recieved amount is $3312.5 it means as equation 2
[tex]4x+7.5y=3312.5[/tex]now multiply equation 1 with 4 and substract from equation 2 and we get
[tex]\begin{gathered} 4x+7.5y-4x-4y=3,312.5-2000 \\ 3.5y=1312.5 \\ y=375 \end{gathered}[/tex]now substitute the value of y in equation 1 and we get
[tex]\begin{gathered} x+375=500 \\ x=125 \end{gathered}[/tex]Final answer:
Number of adults’ tickets sold = 375 and number of children’s tickets sold = 125
