[tex]3x-27=2x+27[/tex]
Given:
Sum of money is shared among Jen, Mary and Lilly in the ratio of 2:3:5.
If Mary gives $27 to Jen, then both of them will have an equal amount of money.
To find:
The money Lilly have.
Solution:
Let Jen, Mary and Lilly have money 2x, 3x and 5x respectively.
Mary gives $27 to Jen, then both of them will have an equal amount of money. It means,
[tex]3x-27=2x+27[/tex]
Isolate variable terms.
[tex]3x-2x=27+27[/tex]
[tex]x=54[/tex]
Now, the money Lilly have is
[tex]5x=5\times 54[/tex]
[tex]5x=270[/tex]
Therefore, Lilly have $270.
