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The costs of general admission and student tickets to a high school football game are $28 for
4 adult tickets and $24 for 6 child tickets, respectively. The ticket sales for one game totaled
$11,200. Write an equation where x is for adults, and y is for children, which models the
situation in stanard form.



Sagot :

Given that the costs of general admission and student tickets to a high school football game are $28 for 4 adult tickets and $24 for 6 child tickets, respectively. The ticket sales for one game totaled $11,200.

$28 for 4 adult tickets.

Divide 28 by 4 to find the cost for an adult ticket.

[tex]\frac{28}{4}=7[/tex]

The cost of a ticket for an adult is $7.

Divide 24 by 6 to find the cost for a child ticket

[tex]\frac{24}{6}=4[/tex]

The cost of a ticket for a child is $4.

Let x be the number of adults ticket and y be the number of child tickets.

[tex]7x+4y=11200[/tex]