Question

A movie theater randomly samples the types of admission Time of Day Adult Senior

Afternoon 12 l 48

Evening 45 l 15


tickets sold on a Friday in the afternoon and in the evening.

The results are shown in the table.

• Amelia predicts that when 400 tickets are sold on a Friday afternoon,

it can be expected that 80 of the tickets sold will be adult tickets.

• Stefan predicts that when 400 tickets are sold on a Friday evening,

it can be expected that 100 of the tickets sold will be senior tickets.

Is either student correct? Explain.

Answer 1

Time of Day Adult Senior Adult% Senior%

Afternoon 12 48 20% 80%

Evening 45 15 75% 25%

Amelia predicts that when 400 tickets are sold on a Friday afternoon, it can be expected that 80 of the tickets sold will be adult tickets.

• Amelia is correct. If 400 tickets are sold in a Friday afternoon, you can expect 20% of them to be sold to adults = 400 tickets x 20% = 80 tickets sold to adults.

Stefan predicts that when 400 tickets are sold on a Friday evening, it can be expected that 100 of the tickets sold will be senior tickets.

• Stefan is correct. If 400 tickets are sold in a Friday evening, you can expect 25% of them to be sold to seniors = 400 tickets x 25% = 100 tickets sold to seniors.