DarvinN328711 DarvinN328711
  • 03-11-2022
  • Mathematics
contestada

$75.00 is shared among 3 people in the ratio 2:4:9 how much is the largest share?

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AnzleeJ358800 AnzleeJ358800
  • 03-11-2022

The ratio is 2:4:9, so we can consider the total parts we are dividing the total as 2+4+9 = 15.

Then, the first person receives 2/15, the second receives 4/15 and the third receives 9/15.

As the total is 75, we can calculate each part as:

[tex]\begin{gathered} p_1=75*\frac{2}{15}=10 \\ \\ p_2=75*\frac{4}{15}=20 \\ \\ p_3=75*\frac{9}{15}=45 \end{gathered}[/tex]

Then, the largest share correspond to the third person and is $45.00.

Answer: $45.00

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