At a movie theater, tickets for children cost $6.50 each and adult tickets cost $8.75 each. If ticket sales for a group of 35 people totaled to $259, how many children where in this group?

21 children

Step-by-step explanation:

For this problem, we can use system of equations to solve.

Let's use x for children and y for adults.

Equation 1:

6.50x+8.75y=259

This equation came from the cost of the tickets for the children and adults.

Equation 2:

x+y=35

This comes from the group of 35 people that consists of children and adults.

We can use substitution to solve for x and y.

x=35-y

6.50(35-y)+8.75y=259

227.5-6.50y+8.75y=259

227.5+2.25y=259

2.25y=31.5

y=14

Now that we have found y, we can plug it into any of the equations to find x.

x+14=35

x=21

Therefore, there are 21 children and 14 adults in the group.

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