Question

At a movie theater, tickets for children cost $8 each and adult tickets cost $8.75 each. Of ticket sales for a group of 35 people totaled $259, how many children were in this group?

Answer 1

Answer:

The results don't make sense

Step-by-step explanation:

We can solve by means of a 2x2 system of equations, we have to:

"x" is the number of children's tickets

"y" is the number of adult tickets

Thus:

8 * x + 8.75 * y = 259

 x + y = 35 => x = 35 - y

replacing we have:

 8 * (35 - y) + 8.75 * y = 259

280 - 8 * y + 8.75 * y = 259

 - 8 * y + 8.75 * y = 259 - 280

0.75 * y = -21

y = -21 / 0.75

y = -28

Thus:

x = 35 - (-28) = 63

With these results we notice that the problem has inconsistency, since the value of the tickets cannot be given a negative number, I recommend reviewing the problem, since the approach is correct.