You earn a fixed salary working as a sales clerk making $11 per hour. You get a weekly bonus of $100. Your expenses are $60 per week for groceries and $200 per week for rent and utilities. How many hours do you have to work in order to break even? Please show all steps, and explain.

Question

15-01-2017
Mathematics

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You earn a fixed salary working as a sales clerk making $11 per hour. You get a weekly bonus of $100. Your expenses are $60 per week for groceries and $200 per week for rent and utilities. How many hours do you have to work in order to break even? Please show all steps, and explain.

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k1511046 k1511046 · Answer 1 · 2017-01-15T02:45:25+01:00

Shall we make life simpler by eliminating unnecessary numbers.
Totally, my expenses would be 60+200 = $260. Let us say that of this $100 would be met by the weekly bonus so that the residual part of the requirement is $160.
Let x be the number of hours I work. Then my earning would be 11x. For break even, earning should equal requirement. That is 11x = 160. And so, x = 160/11 = 14.55 hours/week