Karen was in a trivia contest and got 18 of the 20
questions correct. What percent of the questions
did she get wrong?

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Respuesta :

Ur fraction will be 18/20 so just multiply the numerator and denominator by 5 Now we can see that our fraction is 90/100, which means that 18/20 as a percentage is 90%.

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

  • Total questions = 20
  • correct one = 18

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

  • Percentage of wrong questions

[tex]\bf{⟹20 -18 = 2 \: questions}[/tex]

[tex]\bf{Let\:the \:percentage\:of \:wrong\: question\:be\:x}[/tex]

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

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]⟹x\% \: of \: 20 = 2[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]⟹ \frac{x}{100} \times 20 = 2[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]⟹x = 2 \times \frac{100}{20} [/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]⟹x = 10[/tex]

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

[tex]\bf{⟹10\%\:of \:the \:questions\: she\: get\: wrong}[/tex]

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