Question

The badys and their maid, alice, took a trip to hawaii for their summer vacation. the travel agent told ike bady that the trip would cost $210 for each child plus another $315 per adult. according to ike's credit card receipt, the trip cost a total of $2,205 for all 9 of them. find the number of adults and children on the trip by writing and solving a system of equations.

Answer 1

Let x be the number of children
Let y be the number of adults

Equation 1: x + y = 9
Equation 2: y = 9 - x

           210x + 315y = 2205
     210x + 315 (9-x) = 2205
210x + 2835 - 315x = 2205
            2835 - 2205 = 315x - 210x
                         630 = 105x
                  630/105 = 105x/105
                             6 = x

There are 6 numbers of children.

To get the y, use the Equation 2: y = 9 - 6 ---> y = 3
Therefore there are 3 adults on the trip.