Question

Tiffany uses 1/10 of her wages each month to buy company stock. Also she puts 1/20 of her wages in a savings account, and 1/15 into the company pension plan. What fraction of her wages are taken out for these purpose

Answer 1

The fraction of Tiffany wages taken out for these purpose is
`(13)/(60)` .

Explanation:

Given as :

Let The wages earn by Tiffany = $x

Let The fraction of Tiffany wages taken out for purpose = $y

Tiffany uses
`(1)/(10)` of her wages each month to buy company stock.

She puts
`(1)/(20)` of her wages in a savings account .

She puts
`(1)/(15)` of her wages into company pension plan

Now,

Total fraction of wages used by Tiffany = fraction used to buy company stock + fraction used in saving account + fraction used in pension plan

Or, y =
`(1)/(10)` +
`(1)/(20)` +
`(1)/(15)`

Now taking LCM

Or, y =
`(12 + 6 + 8)/(120)`

Or y =
`(26)/(120)`

Or, y =
`(13)/(60)`

So, The fraction of Tiffany wages taken out for purpose = y =
`(13)/(60)`

Hence, The fraction of Tiffany wages taken out for these purpose is
`(13)/(60)` . Answer