At a theater, the admission price for children is $4 and the admission price for adults is $7. The total amount the theater collects in admissions for the day is $1782. The total number of visitors is 294. Let x be the number of children and let y be the number of adults.

 x + y = 294   (1)

4x + 7 y = 1782 (2)

(1) => x=294-y  replace x into (2)

=> 4( 294-y ) + 7y = 1782 => y = 606/3 =202

=> x = 294 - 202 = 92

So : x = 92 and y = 202

Step-by-step explanation:

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square