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Admission prices at a football game were $5 for adults and $ 2 for children.

The total value of the tickets sold was $2520, and 654 tickets were sold. How many adult

tickets and how many child tickets were sold?

Show all six steps.

Sagot :

Answer:

404 adult tickets were sold, and 250 child tickets.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that

x is the number of adult tickets sold.

y is the number of child tickets sold.

654 tickets were sold.

This means that

[tex]x + y = 654[/tex]

[tex]y = 654 - x[/tex]

Admission prices at a football game were $5 for adults and $ 2 for children. The total value of the tickets sold was $2520.

This means that

[tex]5x + 2y = 2520[/tex]

Since [tex]y = 654 - x[/tex]

[tex]5x + 2(654 - x) = 2520[/tex]

[tex]5x + 1308 - 2x = 2520[/tex]

[tex]3x = 1212[/tex]

[tex]x = \frac{1212}{3}[/tex]

[tex]x = 404[/tex]

[tex]y = 654 - x = 654 - 404 = 250[/tex]

404 adult tickets were sold, and 250 child tickets.