SOLUTION: The admission charge to a theme park is $48 for adults and $30 dollars for children. If the total of admission charges on a certain day was $81 480 and 2002 people entered, how man

Algebra ->  Equations -> SOLUTION: The admission charge to a theme park is $48 for adults and $30 dollars for children. If the total of admission charges on a certain day was $81 480 and 2002 people entered, how man      Log On


   

Question 159810: The admission charge to a theme park is $48 for adults and $30 dollars for children. If the total of admission charges on a certain day was $81 480 and 2002 people entered, how many were adults , and how many were children ?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Total people entered:
A%2BC=2002 ----------> A=2002-C , EQN 1
Total admission charges:
48A%2B30C=81480 ----------------------> WORKING EQN
Substitute EQN 1 in the WORKING EQN:
48%282002-C%29%2B30C=81480
96096-48C%2B30C=81480
96096-81480=48C-30C
14616=18C ----> cross%2814616%29812%2Fcross%2818%29=cross%2818%29C%2Fcross%2818%29
C=812, number of Children
Via EQN 1:
A=2002-812=1190, number of Adults
In doubt? Go back WORKING EQN:
48%2A1190%2B30%2A812=81480
57120%2B24360=81480
81480=81480
Thank you,
Jojo