Question

Five hundred 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. How many adults and children attended the play?Number of adults’ tickets sold = 365 and number of children’s tickets sold = 125Number of adults’ tickets sold = 375 and number of children’s tickets sold = 135Number of adults’ tickets sold = 365 and number of children’s tickets sold = 135Number of adults’ tickets sold = 375 and number of children’s tickets sold = 125

Answer 1

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

Step-by-step 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

`x+y=500`

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

`4x+7.5y=3312.5`

now multiply equation 1 with 4 and substract from equation 2 and we get

`\begin{gathered} 4x+7.5y-4x-4y=3,312.5-2000 \\ 3.5y=1312.5 \\ y=375 \end{gathered}`

now substitute the value of y in equation 1 and we get

`\begin{gathered} x+375=500 \\ x=125 \end{gathered}`

Final answer:

Number of adults’ tickets sold = 375 and number of children’s tickets sold = 125