Tickets to a play cost 5 dollars for adults and 2 dollars for children. if 1750 tickets were sold for a total of 7100 dollars, how many childrens ticket were sold

Let x = number of adults tickets sold

then, 1750 - x = number of children tickets sold

We know that the cost for adult tickets is $5 and and children is above calculated so sum total tickets sold cost is $7100.

($5) (x) + ($2) (1750-x) = $7100

5x - 2x + 3500 = 7100

3x = 3600

x = 1200