Question

Seth earns $560 per week. He has 1/5 of his income withheld for federal taxes, 1/15 of his income withheld for state taxes, and 1/25 of his income withheld for medical coverage. How much income is left each week after those deductions?

Answer 1

Answer: The required income left is $388.27.

Step-by-step explanation: Given that Seth earns $560 per week. He has
`(1)/(5)` of his income withheld for federal taxes,
`(1)/(15)` of his income withheld for state taxes, and
`\frac{1}[25}` of his income withheld for medical coverage.

We are to find the income that is left after all these deductions.

The share of income that is withheld for federal taxes is

`I_f=(1)/(5)*560=112,`

the share of income that is withheld for state taxes is

`I_s=(1)/(15)*560=37.33`

and the share of income that is withheld for medical coverage is

`I_m=(1)/(25)*560=22.4.`

Therefore, the income that is left after all these deductions is given by

`I_l=560-I_f-I_s-I_m=560-112-37.33-22.4=560-171.73=388.27.`

Thus, the required income left is $388.27.

Answer 2

Answer: Income is left each week after those deductions = $ 388.216

Step-by-step explanation:

Amount Seth earns per week = $ 560

`\text{Part of income withheld for federal taxes} = (1)/(5)`

`\text{Part of income withheld for state taxes }=(1)/(15)`

`\text{Part of income withheld for medical coverage} = (1)/(25)`

`\text{Part of income left after those deduction}\\= 1-(1)/(5)-(1)/(15)-(1)/(25)`

`=1-(15+5+3)/(75)\\=1-(23)/(75)\\=(75-23)/(75)\\=(52)/(75)`

So, income is left each week after those deductions is given by

`(52)/(75)* 560\\=\frc{52* 560}{75}\\=\$388.266`

Hence , Income is left each week after those deductions = $ 388.216