Paisley gave out a survey to some students in her school about their favorite color. 350 of those surveyed said their favorite color was purple. If 35% of the students surveyed said their favorite color was purple, how many students were surveyed in total?

Question

Mathematics

Victoria Ramos

10 November, 10:38

Paisley gave out a survey to some students in her school about their favorite color. 350 of those surveyed said their favorite color was purple. If 35% of the students surveyed said their favorite color was purple, how many students were surveyed in total?

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Answers (1)

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Geovanni Roach · Answer 1

The number of students surveyed in total is 1,000

Step-by-step explanation:

We start by saying, let the total number of people surveyed be x, since we do not know exactly the number.

What we know from the question however is that 35% of this x makes up the value of 350 of the respondents.

Hence, mathematically, we have;

35/100 * x = 350

35x = 100 * 350

35x = 35,000

x = 35,000/35

x = 1,000 students