Problema Solution

On family day, attendance at the baseball game set a record. A reporter for the local paper asked how many adults happy to see the game. The box office reported that exactly 450 tickets had been sold, and $2000 was collected. If adults tickets were five dollars and children's tickets were three dollars, how many adults tickets were sold?

Answer provided by our tutors

let


a = the number of adult's tickets sold by the cost of $5 per ticket

c = the number of children's tickets sold by the cost of $3 per ticket


the box office reported that exactly 450 tickets had been sold, and


a + c = 450


$2000 was collected


5a + 3c = 2000


by solving the system of equations


a + c = 450

5a + 3c = 2000


we find


a = 325 adult's tickets sold


c = 125 children's tickets sold


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