Question

finding a value in a two-way table
two hundred and fifty people were asked if they prefer jazz, country, rock, or rap music. they were only allowed to choose one favorite. partial results are shown in the table. f is for females, m is males, and t is for total.
how many females did not choose rap music?
(table: rows f, m, t; columns jazz, country, rock, rap, total. f row: jazz=50, rock=42; m row: country=30, rap=48; t row: jazz=58, country=65, rock=70, total=250. options: 9, 48, 57, 127)

Explanation:

Step1: Identify female non - rap choices

Females who chose jazz: 50, females who chose rock: 42. We also need to find females who chose country. First, find total females who chose country. Total (T) for country is 65, males (M) who chose country is 30, so females (F) who chose country is \(65 - 30=35\).

Step2: Sum non - rap female choices

Sum the number of females who chose jazz, country, and rock. That is \(50+35 + 42\). Calculate \(50+35=85\), then \(85 + 42 = 127\).

Answer:

127