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Three sisters are saving for a special trip . The ratio of Nora​'s savings to Helga​'s savings is 8:3 and the ratio of Helga​'s savings to ​Maurice's savings is 3:4. Together all 3 have saved ​$60. How much has each ​saved?

Respuesta :

Answer:

X = 10.588

Y = 28.2

Z = 21.176

Step-by-step explanation:

Consider Nova savings as X

Helga is Y

Maurice is Z

As per first ratio we conclude 8X=3Y

Second ratio we conclude 3Y = 4Z

We deduce 8X = 4Z

Last sentence => X+Y+Z=60 multiple it by 3

=> 3X + 3Y + 3Z= 180 but 8X = 4Y

=> 3X + 8X + 3Z =180 => 11X + 3Z=180 multiple the equation by 4/3

44/3 X + 4Z = 240 but 4Z = 8X

=> 44/3 X + 8 X = 240

=> 68/3 X = 240

=> 68X = 720

=> X =10.588

And Y=8/3 X =28.2

And Z=3/4 Y = 21.176

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