Question

eric found that about 60% of 80 classmates at school like hip - hop music. however, 70% of his 60 relatives like hip - hop. do more classmates or relatives like hip - hop? 60% of 80 is about 42. 70% of 60 is 48. the number of his relatives who like hip - hop is greater than the number of his classmates who like hip - hop. 60% of 70 is about 48. 70% of 80 is 42. the number of his classmates who like hip - hop is greater than the number of his relatives who like hip - hop. 60% of 70 is about 42. 70% of 80 is 56. the number of his classmates who like hip - hop is greater than the number of his relatives who like hip - hop. 60% of 80 is about 48. 70% of 60 is 42. the number of his classmates who like hip - hop is greater than the number of his relatives who like hip - hop:

Explanation:

Step1: Calculate the number of classmates who like hip - hop

The number of classmates is \(n_{classmates}=80\), and the proportion is \(p_{classmates} = 60\%=0.6\).
The number of classmates who like hip - hop is \(N_{classmates}=p_{classmates}\times n_{classmates}=0.6\times80 = 48\)

Step2: Calculate the number of relatives who like hip - hop

The number of relatives is \(n_{relatives}=60\), and the proportion is \(p_{relatives}=70\% = 0.7\)
The number of relatives who like hip - hop is \(N_{relatives}=p_{relatives}\times n_{relatives}=0.7\times60=42\)

Answer:

\(60\%\) of \(80\) is about \(48\), \(70\%\) of \(60\) is about \(42\). The number of his classmates who like hip - hop is greater than the number of his relatives who like hip - hop. (The fourth option)