Question

A swimming pool charges $6 for adults and $4 for children. On a particular day, they made $1,326 in admissions. If a total of 289 people paid to swim, how many kids and how many adults

Answer 1

X= # of adults
y= # of children

1326= 6x + 4y
289= x + y

We are going to do substitution.

x = 289-y
1326= 6(289-y) + 4y
1326= 1734 -6y + 4y
1326= 1734 + -2y
-408= -2y
204 = y

Since we now have a value for y, we should plug that back into the equation we got the x value from to find the actual numerical value of x.

289= x + y
289= x + 204
85= x

In conclusion, 85 adults and 204 adults went to the swimming pool.