SOLUTION: Lee spent $1200 on holiday.Iff he had spent $50 less per day,he could have stayed an extra two days.How long was his holiday?

Question 1146604: Lee spent $1200 on holiday.Iff he had spent $50 less per day,he could have stayed an extra two days.How long was his holiday?
Found 3 solutions by richwmiller, MathTherapy, greenestamps:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
Oops I messed up.
But my wrong answer while showing my work is still better than the "correct" answer and not showing any work at all.

Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
Lee spent $1200 on holiday.Iff he had spent $50 less per day,he could have stayed an extra two days.How long was his holiday?

The other person who responded is WRONG!!
Correct answer:
Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!

Let x be the actual number of days of the vacation. Then

1200/x = daily amount spent
1200/(x+2) = daily amount spent if the vacation were 2 days longer

The amount spent per day would have been $50 less if the vacation had been 2 days longer:

Divide by the common factor of 50 to make the numbers smaller that you have to work with:

Multiply by the least common denominator, (x)(x+2):

or

Clearly the negative value makes no sense in the problem, so

ANSWER: the vacation lasted x=6 days

CHECK:
1200/6 = 200
1200/8 = 150
200-150 = 50
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