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2 A company sold a total of 150 adult and child tickets to a fundraiser. The
company charged $10 for each adult ticket and $6 for each child ticket.
Which equation represents the relationship between the number of adult
tickets sold, x, and the total amount, y, in dollars, raised from the sale of the
tickets?
A 6x + 10y = 150
B 10x + 6y = 150
С у з
C y = 6x + 10(150 - x)
D Y = 10x + 6(150 - x)

Respuesta :

The relationship between the number of adult tickets sold, x, and the total amount, y, in dollars, raised from the sale of the tickets is y=10x+6(150-x).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that the total number of adult tickets sold is x, and the cost of a single ticket is $10. Therefore, the total revenue from the adult tickets will be,

Total revenue from the adult tickets = [tex]\$10 \times x = 10x[/tex]

Similarly, the total number of child tickets sold is (150-x), and the cost of a single ticket is $6. Therefore, the total revenue from the child tickets will be,

Total revenue from the child tickets = [tex]\$6 \times (150-x) = 6(150-x)[/tex]

Now, the total revenue will be the sum of the revenue from adult tickets and child tickets. Therefore, the sum y will be,

[tex]y = 10x + 6(150-x)[/tex]

Hence, the relationship between the number of adult tickets sold, x, and the total amount, y, in dollars, raised from the sale of the tickets is y=10x+6(150-x).

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