Question

7/8 of the people at a movie theater buy popcorn. 3/4 of these people upgrade to a drink and popcorn combo. What fraction of the people from the whole movie theater get the drink and popcorn combo.

Answer 1

Multiplying the fraction of people who buy popcorn (7/8) by the fraction that upgrade to a combo (3/4) gives us 21/32, which represents the fraction of all movie theater attendees who purchase the drink and popcorn combo.

Step-by-step explanation:

To find the fraction of people from the whole movie theater who get the drink and popcorn combo, we first need to calculate what fraction buys popcorn. We are told that 7/8 of the people buy popcorn. Then, among these people, 3/4 upgrade to a drink and popcorn combo. To find the combined fraction, we multiply these two fractions together:

(7/8) × (3/4) = 21/32

So, 21/32 of the people at the movie theater buy the drink and popcorn combo. This is the fraction of the whole movie theater attendees who get the combo.

Answer 2

To find out what fraction of people from the whole movie theater get the drink and popcorn combo, we multiply the fraction that buys popcorn (7/8) by the fraction that upgrade to a combo (3/4), resulting in 21/32 of the people getting the combo.

Step-by-step explanation:

If 7/8 of the people at a movie theater buy popcorn, and of these, 3/4 upgrade to a drink and popcorn combo, we need to multiply these two fractions to find out what fraction of the entire movie theater gets the drink and popcorn combo. Multiplying fractions involves multiplying the numerators together and the denominators together:

People buying popcorn: 7/8

People upgrading to combo: 3/4

People getting the combo: (7/8) × (3/4) = (7×3) / (8×4)

= 21/32

Therefore, 21/32 of the people in the whole movie theater get the drink and popcorn combo.