SOLUTION: Adrian works in NYC and makes $42 per hour. She works in an office and must get her suit dry cleaned everyday for $75. If she wants to make more than $260 a day, at least how many

Algebra ->  Average -> SOLUTION: Adrian works in NYC and makes $42 per hour. She works in an office and must get her suit dry cleaned everyday for $75. If she wants to make more than $260 a day, at least how many       Log On


   

Question 1068376: Adrian works in NYC and makes $42 per hour. She works in an office and must get her suit dry cleaned everyday for $75. If she wants to make more than $260 a day, at least how many hours must she work? (We're working with inequalities)
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
she makes 42 dollars per hour.
her suit costs 75 dollars a day.
she wants to clear more than 260 a day.

let x = number of hours she has to work each day.

the formula would be 42x - 75 > 260

this formula says that x hours a day at 42 dollars per hour minus 75 dollars to press her suit must be greater than 260 for the day.

you would solve this formula as follows:

start with 42x - 75 > 260
add 75 to both sides of the inequality to get 42x > 335
divide both sides of the inequality by 42 to get x > 7.976190476 hours.

if she works 7.976190476 hours in a day, she will make 42 * that for a total of 335 dollars.

subtract 75 dollars for dry cleaning her suit and she nets 260 dollars for the day.

so, if she works more than 7.976198476 hours in the day, she will net more than 260 dollars for the day.