Two groups of people went to see Avatar in IMAX 3D. The first group spent $73. 50 on two adult and threechildren tickets. The othergroup spent $109. 50 on five adult and two children tickets. What is the cost for each type of ticket?
En resumen
Sorry, but my english is not so good, but i hope you understandme : 2x + 3y = 73. 5 ec. 1 5x + 2y = 109. 5 ec. 2 if the ec. 2 is multipl by - 1. 5 : - 7. 5x - 3y = - 164. 25 ec. 3 The sum of ec. 1 and ec. 3 : 2x + 3y = 73. 5 - 7. 5x - 3y = - 164. 25 - 5. 5x = - 90.
Sorry, but my english is not so good, but i hope you understandme :
2x + 3y = 73.
5 ec.
1
5x + 2y = 109.
5 ec.
2
if the ec.
2 is multipl by - 1.
5 : - 7.
5x - 3y = - 164.
25 ec.
3
The sum of ec.
1 and ec.
3 :
2x + 3y = 73.
5 - 7.
5x - 3y = - 164.
25 - 5.
5x = - 90.
75
x = - 90.
75 / 5.
5
x = 16.
5
The cost for adult is $16.
50
Then, on the ec.
1 :
2x + 3y = 73.
5
2 * 16.
5 + 3y = 73.
5
33 + 3y = 73.
5
3y = 73.
5 - 33
3y = 40.
5
y = 40.
5 / 3
y = 13.
5
The cost for Children is $13.
5 each.
Check it out on ec.
2 :
5x + 2y = 109.
5
5 * 16.
5 + 2 * 13.
5 = 109.
5
82.
5 + 27 = 109.
5
109.
5 ≡ 109.
5
Regards.