SOLUTION: Last Sunday, we noticed that at our dance show 1,000 were sold. For an adult, the cost of a ticket was $2 and for a child it was $1. When all was said and done, we had a total amou

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Last Sunday, we noticed that at our dance show 1,000 were sold. For an adult, the cost of a ticket was $2 and for a child it was $1. When all was said and done, we had a total amou      Log On


   



Question 1141692: Last Sunday, we noticed that at our dance show 1,000 were sold. For an adult, the cost of a ticket was $2 and for a child it was $1. When all was said and done, we had a total amount of $1,850. Write the number of adult tickets and children tickets that were sold on Sunday.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
system%282a%2B1c=1850%2Ca%2Bc=1000%29

system%282a%2Bc=1850%2Ca%2Bc=1000%29

E1-E2-------will quickly give "a".
You can finish.

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Here is a quick way to get the answer to a problem like this informally, without algebra.

(1) If all 1000 tickets were children's tickets, the total would be $1000.
(2) The actual total was $1850, which is $850 more than $1000.
(3) Each adult ticket costs $1 more than each children's ticket.
(4) Therefore, the number of adult tickets sold was $850/$1 = 850.

ANSWER: 850 adult tickets; 150 children's tickets