Question 948534
Since we are trying to break even, all the cost must be equal to the earnings.
Let X = number of tickets.
Total Cost = {{{1300 + 1600 + 3X}}}
Total Earnings = {{{5X + 1100}}}
Now set those two equations equal to each other and solve for X
{{{1300 + 1600 + 3X = 5X + 1100}}}
Combine like terms
{{{2900 + 3X = 5X + 1100}}}
Subtract 1100 from both sides}}}
{{{1800 + 3X = 5X}}}
Subtract 3X from both sides.
{{{1800 = 2X}}}
Divide both sides by 2
{{{highlight(900 = X)}}}
900 tickets must be sold to break even.