Okay i think i understand this wrod problem but i need help

this is the problem:

keith weighs 200 pounds. He wants to weigh less than 175 pounds. If he can lose an average of 2 pounds per a week on a certain diet, how long should he stay on his diet to reach his goal weight??

Write an inequality to represent the data in the questions above?

I go 200 less than 175 = 2

please tell me if this is right and what i did wrong.

please and thank you

3 answers

200lbs - 175lbs = 25lbs
so keith needs to lose 25lbs or more to reach his target weight of 175lbs
so 25 divided by 2 (Lbs loss a week) = 12.5
therefore 12.5 weeks will reach his target of 175lbs or 13 weeks to reach 174lbs (which is less, where he wanted to be)
The inequality would be:

200-2x < 175

because 200 is his current weight, and x would be the number of weeks it will take to reach his weight. 200 minus the weight per week should equal less than 175. Does this make sense?
Thanks emily and jimmy for your help