Question

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 much as Jake. They sold a total of 538 tickets together.

Solve to find how many tickets Sara sold.

Write an equation to represent the situation.

Answer 1

Let Sara= x, Jake= y, Cole= z

It's given that:
x=2y
z= 2y+6
538=x+y+z
Then convert the values of y and z to x.
538=x+2x+(4x+6) This is the equation used to solve for x.
538=3x+4x+6
538=7x+6
538-6=7x+6-6
532=7x
532/7=7x/7
76 = x