Question

solve the problem. 1) results of a survey of fifty students indicate that 30 like red jelly beans, 29 like green jelly beans, and 17 like both red and green jelly beans. how many of the students surveyed like only green jelly beans?

Explanation:

Step1: Identify the formula

The number of students who like only green jelly - beans is the number of students who like green jelly - beans minus the number of students who like both.

Step2: Substitute the values

Let \(n(G)\) be the number of students who like green jelly - beans and \(n(G\cap R)\) be the number of students who like both red and green jelly - beans. We know that \(n(G) = 29\) and \(n(G\cap R)=17\).
The number of students who like only green jelly - beans \(=n(G)-n(G\cap R)\).
\[29 - 17\]

Step3: Calculate the result

\[29-17 = 12\]

Answer:

12