Asap i will upvote

james sold 450 tickets for the community play. tickets for children cost $2, and tickets for adults cost $5. james sold $1,800 worth of tickets.

how many tickets for adults did james sell?

Let x be the unknown amount of child tickets 
Let 450 - x be the unknown amount of adult tickets (This is because the total amount subtracted from the child tickets can only be the adult tickets since there are no other tickets)

2x+5(450-x)=1800

(2x because each child ticket cost $2 and same for the adult tickets. Each adult ticket cost $5. So, the sum must be 1800.)

Simplify the equation.

2x+5(450-x)=1800   *Distribute*

2x+2250-5x=1800   *Combine like terms. (2-5=-3)*

-3x + 2250 = 1800    *Move constants and variables to opposite sides*
       -2250      -2250

-3x=-450                     *Divide by 3 to isolate the variable*
 
-3     -3

x=150

So, there are 150 child tickets. To find adult tickets, just subtract children tickets from the amount of tickets bought (450-150) to get 300 adult tickets sold.

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