William bought some tickets to see his favorite singer. He bought some adult tickets and some children’s tickets, for a total of

Question

3 years ago

10

William bought some tickets to see his favorite singer. He bought some adult tickets and some children’s tickets, for a total of

15 tickets. The adult tickets cost $30 per ticket, and the children’s tickets cost $20 per ticket. If he spent a total of $270, then how many adult and children’s tickets did he buy

Mathematics

1 answer:

Fantom [35] · Answer 1 · 2022-05-02T22:30:56+03:00

Set x as adult tickets.
Set y as children's tickets.
x + y = 15
30x + 20y = 270
Solve for x in the first equation.
x + y = 15
x = 15 - y
Plug this into the second equation.
30x + 20y = 270
30(15 - y) + 20y = 270
450 - 30y + 20y = 270
450 - 10y = 270
-10y = -180
y = 18
If there is 18 childrens tickets, there should be -3 adult tickets.
This is impossible, and this impossible answer occured because the question is written wrong.
There are a total of 15 tickets
The smallest costing ticket is the childrens ticket, which costs 20$.
If he only bought children tickets, this would be 20x15 which is 300$.
300$ is over 270$, which makes the question impossible.