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:

388.267

Step-by-step explanation:

His left money is 560×(1-1/5-1/15-1/25)

= 560×52/75

= 388.267

Answer 2

$\sf Given:$

• Amount Seth earns per week =$\sf \ 560$
• Part of income withheld for federal taxes =$\sf \frac{1}{5}$
• Part of income withheld for state taxes =$\sf \frac{1}{15}$
• Part of income withheld for medical coverage = $\sf \frac{1}{25}$

$\sf = 1- \frac{1}{5} - \frac{1}{15} - \frac{1}{25}$

$\sf = 1 - \frac{15 + 5 + 3}{75}$

$\sf = 1 - \frac{23}{75}$

$\sf = \frac{75 - 23}{75}$

$\sf = \frac{52}{75}$

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

$\sf =\frac{52}{75} \times 560$

$\sf = 52 \times 56075$

$\sf = 388.26$

• Hence, Income is left each week after those deductions = $\sf \ 388.26$