tpugh20boss tpugh20boss
  • 22-11-2019
  • Mathematics
contestada

ali and sam have the same amount of money.Sam gave ali 15$ then the ratio became 7:5 how much money did they start with?

Respuesta :

RoyalHarley RoyalHarley
  • 25-11-2019

Answer:

90$

Step-by-step explanation:

       Initially Sam and Ali have the same amount. After Sam gives Ali $ 15, the ratio of amounts becomes 7 : 5.

       Let the initial amount with either of Sam and Ali be [tex]x[/tex].

[tex]x[/tex] is in dollars.

       After the transaction, Sam has [tex]x-15[/tex] and Ali has [tex]x+15[/tex].

Now, Ratio of Ali's to Sam's is 7:5

So, [tex]\dfrac{x+15}{x-15}=\dfrac{7}{5}\\\\5x+75=7x-105\\2x=180\\x=90[/tex]

∴ Initially both had $ 90.

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