factor26 wrote:What percent of the students at Jefferson High School study French but not Spanish?
(1) 30% of all students at Jefferson High School study French.
(2) 40% of all students at Jefferson High School do not study Spanish.
ANSWER IS E CAN SOMEONE PLEASE EXPLAIN?
Use a Venn diagram to organize the information.
Let the total number of students = 100.
Statement 1: Total French = 30.
Statement 2: Since 40 students do NOT study Spanish, the total number of students who DO study Spanish = 60.
When the statements are combined, the following distribution is possible:
Number of students who study only French = 20.
The following distribution also is possible:
Number of students who study only French = 10.
Since the number of students who study only French can be different values, INSUFFICIENT.
The correct answer is
E.
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