SOLUTION: Hotel A and hotel B had a total of 6,500 guests. After 3/4 of the guests in Hotel A and 3/5 of the guests in hotel B checked out, they were 260 more guests in hotel B there in hote

Question 1122050: Hotel A and hotel B had a total of 6,500 guests. After 3/4 of the guests in Hotel A and 3/5 of the guests in hotel B checked out, they were 260 more guests in hotel B there in hotel A. How many more guests did hotel A have at first?
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
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a      + b = 6500,       (1)

 +  = 260.    (2)


Solve the system for "a" and "b".  Then compute  a-b.

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