Question

During a promotion at an aquarium, the number of adult tickets sold was 4 times
the total number of student tickets and senior citizen tickets sold. The number of
student tickets sold was three times that of senior citizen tickets. 142 more student
tickets than senior citizen tickets were sold. How many adult tickets were sold?​

Answer 1

$Let \: Number \: of \: senior \:citizen \: tickets$

$sold = x$

$Number \: of \: students \: tickets\:sold = 3x$

$Number \: of \: adult \: tickets\:sold = 4\times 3x$

$= 12x$

/* According to the problem given */

$3x = x + 142$

$\implies 3x - x = 142$

$\implies 2x = 142$

$\implies x = \frac{142}{2}$

$\implies x = 71$

$\red{ \therefore Number \: of \: adult \: tickets\:sold }$

$= 12x$

$= 12 \times 71$

$\green { = 852}$

•••♪