A professor asked the students in his class to rate the guest lecturer. The lecturer received a rating of Excellent from 7 of the students, while 14 students rated the lecturer as Average, and 4 believed the lecturer was Poor. What percent of the students thought the lecturer was Excellent?

Question

valpey · Answer

7/(7+14+4)

lgbasallote · Answer

7 students rated excellent

there are a total of 7+14+ 4 = 25 students

so the percent woulf be

$$\frac{7}{25} \times 100$$

anonymous · Answer

this was a ACT practice question that I got incorrect. Can you please help me and explain to me step by step what to do on this problem?

lgbasallote · Answer

first identify the question...what is the question?

anonymous · Answer

what percent of the students thought the lecturer was excellent?

lgbasallote · Answer

so second step...how many students thought the lecturer was excellent?

anonymous · Answer

7

lgbasallote · Answer

good

now percentage means

$$\LARGE \frac{\text{number of students who thought teacher was excellent}}{\text{total number of students}} \times 100$$

so what is the total number of students?

anonymous · Answer

25

lgbasallote · Answer

so substituting we have
$$\huge \frac{7}{25} \times 100$$
do you get that?

anonymous · Answer

yes i do

anonymous · Answer

that equals 28

lgbasallote · Answer

yup so 28% thought the teacher was excellent

anonymous · Answer

thank you so much!

lgbasallote · Answer