Question

A 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. How much money does Lilly have?

Answer 1

`3x-27=2x+27`

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,

`3x-27=2x+27`

Isolate variable terms.

`3x-2x=27+27`

`x=54`

Now, the money Lilly have is

`5x=5* 54`

`5x=270`

Therefore, Lilly have $270.