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