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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?

Verified Answer :

Sorbji

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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