a jazz concert brought in $166,500 on the sale of 7,900 tickets if the tickets were sold for $15 and $25 each how many of each type were sold

Question

a jazz concert brought in $166,500 on the sale of 7,900 tickets if the tickets were sold for $15 and $25 each how many of each type were sold

Answer 1

X+Y = 7900

15x + 25y = 166500

15x + 25( 7900 - x) = 166500

15x + 197500 - 25x = 166500

-10x = -31000

x=3100

then y = 7900 - x = 7900 - 3100 = 4800

yes, it checks