Question

The number of adult tickets sold for a play is 8 more than 3 times the number of child tickets sold. In total, 96 tickets were sold to the play. Determine the number of adult tickets sold in the number of child tickets sold

Answer 1

Let x = the number of children’s tickets
Then 3x + 8 is the number of adult tickets

x + 3x + 8 = 96
4x = 88 - add the x’s and subtract 8 from both sides
x = 22 - divide both sides by 4

22 children’s tickets
3(22) +8 = 74 adult tickets

Check 22 + 74 = 96