rishika2815 rishika2815
  • 19-12-2020
  • Mathematics
contestada

if the compound ratio of 7:5 and 8:x is 83:60 then find X​

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ChefTopeau
ChefTopeau ChefTopeau
  • 19-12-2020

The compounded ratio of two ratios [tex]a\div b[/tex] and [tex]c\div d[/tex] is defined as [tex]ac\div bd[/tex].

So, in your case, we have

[tex]\dfrac{7\cdot 8}{5x}=\dfrac{83}{60}[/tex]

Solving for [tex]x[/tex] yields

[tex]x=\dfrac{56\cdot 60}{5\cdot 83}=\dfrac{672}{83}[/tex]

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