SOLUTION: If three adults and four children go to the movies. Each adult tickets cost twice the price paid for one childern's ticket. They spend a total of $40 for everyone to go to the mov

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: If three adults and four children go to the movies. Each adult tickets cost twice the price paid for one childern's ticket. They spend a total of $40 for everyone to go to the mov      Log On


   

Question 656137: If three adults and four children go to the movies. Each adult tickets cost twice the price paid for one childern's ticket. They spend a total of $40 for everyone to go to the movies. How would you solve and show your steps to the answer?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = cost of an adult ticket
Let +c+ = cost of a child's ticket
given:
(1) +a+=+2c+
(2) +3a+%2B+4c+=+40+
------------------
Substitute (1) into (2)
(2) +3%2A%282c%29+%2B+4c+=+40+
(2) +6c+%2B+4c+=+40+
(2) +10c+=+40+
(2) +c+=4+
and
(1) +a+=+2c+
(1) +a+=+2%2A4+
(1) +a+=+8+
$8 = cost of an adult ticket
$4 = cost of a child's ticket
check:
(2) +3a+%2B+4c+=+40+
(2) +3%2A8+%2B+4%2A4+=+40+
(2) +24+%2B+16+=+40+
(2) +40+=+40+
OK