Question

A movie theater charges $5,00 for adults and $2.00 for senior cotizens. On a day when 323 people paid for admission, the total receipts were $967. How many who paid ware adults? How many were senions? There were adults and senior citizens.

Answer 1

Explanation:

let x = adults and y = senior citizen

x + y = 323 equation 1

5x + 2y = 967 equation 2

multiply equation 1 by -5 to eliminate x

-5(x + y) = 323

-5x -5y = -1615 equation 3

add equation 2 and equation 3

5x + 2y = 967

-5x -5y = -1615

_____________

-3y = - 648

divide both sides by -3

y = 216

There are 216 senior citizens

323 - 216 = 107 adults

$5 x 107 = $ 535

$2 x 216 = $ 432

To check

$535 + $432 = $967

Answer 2

200 adults went to the movie theater