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  • 21-02-2022
  • Mathematics
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80% of the astronomy club members own a telescope. If 20 students own a telescope, how many students are in the astronomy club in all?

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iciclepiano18
iciclepiano18 iciclepiano18
  • 21-02-2022

Answer:

25 students

Step-by-step explanation:

Let x represent the amount of students in the astronomy club then:

80%x=20

Convert 80% to a fraction. Any percentage is that number over 100:

[tex]\frac{80}{100}x=20[/tex]

Simplify the fraction:

[tex]\frac{8}{10}x=20[/tex]

[tex]\frac{4}{5}x=20[/tex]

Multiply both sides by 5:

[tex]4x=100[/tex]

Divide both sides by 4:

[tex]x=25[/tex]

There are 25 students in the astronomy club.

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