For a show adult tickets are $5.50 and children's tickets are $3.50. 467 tickets were sold for a total of $1960.50 how many adults tickets were sold?

Question

ticket sales help

Answer 1

Let a = the number of adult tickets sold

Let c = the number of children's tickets sold

a + c = 467   c = 467 - a

5.50a + 3.50c = 1960.50   Multiply both sides by 10.

55a + 35c = 19,605

55a + 35(467-a) = 19,605

55a + 16,345 - 35a = 19605

20a = 3260

a = 163 adult tickets

c = 467 - a   c = 467 - 163

c = 304 children's tickets