Question

In Toronto, a welfare recipient can earn $90 per month without having her benefits reduced. Beyond $90, benefits are reduced by 57 cents for every dollar of earnings (43 cents per dollar is exempted). Consider Jackie, a resident of Toronto, who can earn $10 per hour. If she does not work at all, she is eligible for welfare benefits of $577. a. If she works 10 hours, how much are her work earnings, how much is her welfare benefits, and how much is her total income? b. After Jackie works a certain number of hours, she does not receive any benefits at all. What is that number of hours?

please explain this clearly.

Answer 1

Solution: Given in toronoto, welfare recipient can earn = 890 per month and Beyond $90. benefits are reduced by st Cents for every dollag of earning 8 C43 Cente per dollar is Exempted) Jackie, Lame = $10 per hour If not worked at all then beni fits = 8577 earnings , benefits @ If she works for lo hovos then and total income are: → Eadning8 per hour = $10 :: Earnings in lo houve = $10*10 = ($100 890, she is eligible Since person & is earning less than for welfare recipient of 8 577. I

Therefore, Total earning 8 = $100+$577 -(8677 ; In come = "Total earning 8 = 18677 :: Guelfare benefite = 8577 @ After Jackie working for a certain number of hours, and not receive any benefits, then the number of hours are: • The total income at which benefit is ő is calclated of follows: = 8+ - 890+ 8577 0.57 = 90 + 1012.280 =$1102-280 Hence 'B' is the minimum income a person can ear without

reducing wuel fare benefit. G' is the total cuelfare benefits, iť is deduction rate. $11021280 n person has to » to earn income of neare income of work for: 1109.280 No of hours = 10 = (110.228 hrs !. Therefore if a person coho worke for 110.22 hours then he / she does not receive any benefit