Question

The total fare for two adults and three children on an excursion boat is $14. If each childs fare is one half of each adults fare, what is the adult fare ...?

Answer 1

$4

Explanation:

In order to solve this problem you just have to create an equation, and it´s very simple, each kid ticket will be represented by the letter "x", and as we know a kid´s ticket is worth half what is worth an adult ticket, so the adult ticket = 2 kids tickets=2x

So we know that there are 2 adults and three kids, and the totla was $14, we create our equation:

`2 adults+3kids=14\\2(2x)+3x=14\\4x+3x=14\\7x=14\\x=(14)/(7)\\ x=2`

Now we know that the kids ticket is $2, so the adult ticket would be twice that, $4 is the price of the adult ticket.

Answer 2

Make each adult x and each kid 5x
and
set equal to 14.
so it would be
3.5x=14.
14/3.5 = 4
so
x = 4.
adult tickets are 4$ while kids are 2$