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Chell1 Chell1
  • 19-02-2015
  • Mathematics
Answered

40% of what number is 34?

Verified Answer :

naǫ
naǫ naǫ
  • 19-02-2015

x - the number

\(40\% x=34 \\ \frac{40}{100}x=34 \\ \frac{2}{5}x=34 \\ x=34 \times \frac{5}{2} \\ x=17 \times 5 \\ x=85\)

40% of 85 is 34.

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ValyRemus
ValyRemus ValyRemus
  • 19-02-2015

p%=\(\frac{p}{100}\) ⇒ \(\frac{40}{100}= \frac{40\div20}{100\div20}= \frac{2}{5}\)

\(\hbox { So, } \frac{2}{5}\cdot x=34\) ⇒ \(\frac{2x}{5}=34\) ⇒ \(2x=34\cdot5\)

\(2x=170\) ⇒ \(\boxed { x=85 }\)

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