Question

There are two types of tickets sold at the Canadian Formula One Grand Prix race. The price of 4 grandstand tickets and 2 general admission tickets is $1880.
The price of 4 grandstand tickets and 4 general admission tickets is $2200. What is the price of each type of ticket?

Answer 1

Answer:
*a general admission ticket is $160
*a grandstand ticket is $390

Explanation: make 2 equations from the provided information
**g is a grandstand ticket and a is a general admission ticket.

4g+2a=1880, 4g+4a=2200
Steps: 4g+2a=1880 changes to 4g=1880-2a because you move the 2a in order to solve for g.
You can substitute the 4g into 4g+4a=2200 to get 1880-2a+4a=2200 and simplify to get 1880+2a=2200. subtract 1880 from both sides and you get 2a=320. divide both sides by 2 to get a=160.
After that you can substitute the value for a into 4g+4a=2200 to get 4g+4(160)=2200. simplify to get 4g+640=2200. subtract 640 from both sides to get 4g=1,560. divide both sides by 4 to get g=390.

Hope this helped! :)