Answer:
The answer to your question is below
Step-by-step explanation:
Data
Equation               25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
                              25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
                               x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse
                              
3.- Find a, b and c
     a² = 64             a = 8
     b² = 25             b = 5
-Calculate c with the Pythagorean theorem
                    a² = b² + c²
-Solve for c
                    c² = a² - b²
-Substitution
                    c² = 8² - 5²
-Simplification
                   c² = 64 - 25
                   c² = 39
-Result
                   c = √13
4.- Find the center 
           C = (0, 0)
5.- Find the vertices 
           V1 = (-8, 0)     V2 = (8, 0)
6.- Find the foci
           F1 = (-√13, 0)   F2 = (√13, 0)
 
 
        
             
        
        
        
X-intercept is 8
Y-intercept is 3
        
             
        
        
        
52 - 38 is 14 
since on the second they sold one more child ticket then the first day we know the extra money is the price of a child ticket 
so 14 is how much a child ticket is 
if 3 senior citizen tickets but 14$ = 38 
subtract 14 from38 = 24
and then 24/3 =senior ticket
child:14$
senior:8$