Answer:
Juan bought 139 tickets and Alex bought 204.
Step-by-step explanation:
Suppose Juan bought a total of [tex]x[/tex] tickets. Then Alex bought 65 more, which is [tex]x+65[/tex]. The sum of both totals is [tex](x)+(x+65) = 2x + 65[/tex], but we are also given that this is equal to 343. So [tex]2x+65 = 343[/tex], and as such [tex]2x = 343-65=278[/tex], so [tex]x = \frac{278}{2} = 139[/tex]. Therefore, Juan bought 139 tickets and Alex bought 65 more, which is 204.
