At a concert 20% of the audience members were teenagers. If the numbers of teenagers at the concert was 360, what was the total number of audience members

Question

Mathematics

Josiah Vincent

2 June, 16:53

At a concert 20% of the audience members were teenagers. If the numbers of teenagers at the concert was 360, what was the total number of audience members

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Answers (2)

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Alessandra Cunningham · Answer 1

Answer: the total number of audience members is 1800

Step-by-step explanation:

Let x represent the total number of audience members at the concert.

At the concert, 20% of the audience members were teenagers. This means that the number if teenagers at the concert would be expressed as

20/100 * x = 0.2 * x = 0.2x

If the numbers of teenagers at the concert was 360, it means that

0.2x = 360

Dividing the left hand side and the right hand side of the equation by 0.2, it becomes

0.2x/0.2 = 360/0.2

x = 1800

Destinee Montgomery · Answer 2

So we know 20% of the audience are teenagers, and there are 360 teenagers.

Therefore, 1/5 of the audience members were teenagers, and that means 1/5 of the audience members is 360.

Multiply it by 5 to get answer:

360 * 5 = 1800

The total number of audience members are 1800.