Jake, sara, and cole are selling tickets for the school drama show. sara sells half as many tickets as jake. cole sells 6 more than twice as many as jake. they sold a total of 538 tickets together. write an equation to represent the situation.

Let x be Jake's number of sold tickets. Sara's number is half as Jake's, so x/2 while, Cole's number is twice as Jake's, 2x. The equation that represents the problem is just the summation of their sold tickets. Therefore, 538= x+ x/2 + 2x, further simplifying the equation, it becomes, 538= 7/2 x. Solving for Jake's number of tickets, Sara and Cole's number of tickets can be determined.