In New York, 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. Consider Jackie, a resident of New York, 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?