isapeters44 isapeters44
  • 25-07-2018
  • Mathematics
contestada


Write an equation and solve. Round to the nearest hundredth where necessary.

21 is 35% of what number?

Respuesta :

iCarl
iCarl iCarl
  • 25-07-2018
[tex]\sf Hello![/tex]

[tex]\sf Let \:the \:number\: be\: x.[/tex]

[tex]\sf Then,[/tex]

[tex]\sf 35[/tex] % [tex]\sf of \:x = 21[/tex]

⇒ [tex]\dfrac{\sf 35}{\sf 100} × \sf x = 21[/tex]

⇒ [tex]\sf x = 21 × \dfrac{\sf 100}{\sf 35}[/tex]

⇒ [tex]\sf x = 3 × \dfrac{\sf 100}{\sf 5}[/tex]

⇒ [tex]\sf x = \sf 3 × 20[/tex] ⇒ [tex]\boxed{\sf x = 60}[/tex]

[tex]\sf Therefore, [/tex]

[tex]\sf 35[/tex] % [tex]\sf of\: 60\: is\: 21[/tex]

~ [tex]\sf iCarl [/tex]
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