Question

A movie theater is selling adult’s tickets for $11 and children’s tickets for $6. If the movie theater sold a total of 114 tickets and made $1,094, how many student tickets and adult tickets were sold respectively?

Answer 1

Answer:

there were 82 adult tickets and  32 children tickets that were sold

Step-by-step explanation:

x = adult's tickets

y = children's tickets

$\left \{ {{x + y = 114} \atop {11x + 6y = 1094}} \right.$

x + y = 114

y = -x +114

replace y by -x +114 in the second equation

11x + 6y = 1094

11x + 6(-x + 114) = 1094

11x -6x + 684 = 1094

5x + 684 = 1094

5x = 410

x = 82

x + y = 114

82 + y = 114

y = 32