Tickets to a play cost $5 for adults and $2 for children. If 1,750 tickets were sold for a total of $7,100, how many children's tickets were sold?

x − n u mb er o t i c k e t s f or a d u lt s y − n u mb er o f t i c k e t s f or c hi l d re n { x + y = 1750 ∣ ∗ ( − 2 ) 5 x + 2 y = 7100 ​ { − 2 x − 2 y = − 3500 5 x + 2 y = 7100 ​ + − − − − a dd i t i o n m e t h o d 3 x = 3600 ∣ d i v i d e b y 3 x = 1200 y = 17500 − 1200 = 5500 T h ere w ere 5500 c hi l d re n t i c k e t s so l d .

Answered by luana | 2024-06-10

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Answered by alitzahm6 | 2024-06-14

In total, 550 children's tickets were sold. To find this, we set up a system of equations based on the total numbers of tickets and sales revenue. Solving the equations, we determined there were also 1200 adult tickets sold.
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Answered by luana | 2025-04-09