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18% of the students in the library have brown
eyes. If there are 9 students with brown eyes,
how many students are in the library?

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Respuesta :

[tex]\large\bf{\underline{Given :}}[/tex]

  • 18% of the students have brown eyes
  • There are 9 students with brown eyes

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[tex]\large\bf{\underline{To\: find :}}[/tex]

  • Total number of students in library

[tex]\bf{Let\:the\:total\: number\:of\: students\:be\:x}[/tex]

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[tex]\large\bf{\underline{Therefore:}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]⟹18\% \: of \: x = 9[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]⟹ \frac{18}{100} \times x = 9[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]⟹x = 9 \times \frac{100}{18} [/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]⟹x = 50[/tex]

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[tex]\large\bf{\underline{Hence:}}[/tex]

[tex]\bf{⟹There \:are\: 50 \:students \:in\: library}[/tex]

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