Pls help I will mark brainliest

Elle and Jude formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.If the end of the year Jude received $5000.00 more than Elle how much was Elle's share

Respuesta :

Answer:

$20000

Step-by-step explanation:

Let Elle received $x

Therefore, Jude received (x + 5000)$

[tex] \because x : (x + 5000) = 4 :5[/tex]

[tex] \therefore \frac{x}{(x + 5000)} = \frac {4}{5}[/tex]

[tex] \therefore 5x = 4(x + 5000)[/tex]

[tex] \therefore 5x = 4x + 20000[/tex]

[tex] \therefore 5x - 4x = 20000[/tex]

[tex] \therefore x = \$20000[/tex]

Therefore, Elle's share = $20000

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