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

Respuesta :

Answer:

The fraction of Tiffany wages taken out for these purpose is [tex]\dfrac{13}{60}[/tex] .

Step-by-step explanation:

Given as :

Let The wages earn by Tiffany = $x

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

Tiffany uses [tex]\dfrac{1}{10}[/tex] of her wages each month to buy company stock.

She puts [tex]\dfrac{1}{20}[/tex] of her wages in a savings account .

She puts [tex]\dfrac{1}{15}[/tex] 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 = [tex]\dfrac{1}{10}[/tex] +  [tex]\dfrac{1}{20}[/tex] +  [tex]\dfrac{1}{15}[/tex]

Now taking LCM

Or, y = [tex]\dfrac{12 + 6 + 8}{120}[/tex]

Or y = [tex]\dfrac{26}{120}[/tex]

Or, y =  [tex]\dfrac{13}{60}[/tex]

So, The fraction of Tiffany wages taken out for purpose = y = [tex]\dfrac{13}{60}[/tex]

Hence, The fraction of Tiffany wages taken out for these purpose is [tex]\dfrac{13}{60}[/tex] . Answer