Question

A movie theater runs two group promotions. Deal A charges a $9 admission fee per person plus $15 for unlimited popcorn for the group. Deal B charges a $6 admission fee per person plus $3 for unlimited popcorn per person. How many people must be in a group for both promotions to cost the same amount?

Answer 1

There is no number of people that will make both promotions cost the same amount.

Step-by-step explanation:

To find the number of people needed for both promotions to cost the same, we can set up an equation and solve for the unknown variable.

Let's denote the number of people in the group as 'x'.

For Deal A, the total cost is $9 per person plus $15 for unlimited popcorn, so the total cost is 9x + 15.

For Deal B, the total cost is $6 per person plus $3 for unlimited popcorn per person, so the total cost is 6x + 3x = 9x.

Setting the two total costs equal to each other, we have:

9x + 15 = 9x

Subtracting 9x from both sides, we get:

15 = 0

Since 15 does not equal 0, there is no solution to this equation.

Therefore, there is no number of people that will make both promotions cost the same amount.