Question

On a trip, the fare was 50¢ for each adult and 25¢ for each child. If 30 passengers paid $12.25, how many adults and children went?

Answer 1

Another system of linear equations.

Answer 2

adult = x, child = y

total = 30 so x + y = 30

0.50x + 0.25y = 12.25

use elimination method (preferably) to solve

Answer 3

Yes, you explained it a lot easier than me, ahaha :)

Answer 4

12.25 = 0.50a + 0.25c
a + c = 30
a = 30 - c
12.25 = 0.50(30-c) + 0.25c
12.25 = 15 - 0.50c + 0.25c
12.25 = 15 - 0.25c
-2.75 = -0.25c
c = 11
11 children went.
Now to solve for adults just do 30 - 11 = ?