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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

User K Z
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1 Answer

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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

User Kimkevin
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