It costs $22 to get a pass at a ski report, plus $5.50 each hour to rent skis. Another ski resort charges $18 for a pass and $7.20 per hour to rent skis. Find the number of hours for which the costs are the same. Round your answer to the nearest half hour.

Set the equation for each ski resort.
ski resort 1: 5.50x +22
ski resort 2: 7.20x +18
(x represents the number of hours)
set the equations equal to find when the costs are the same
5.50x+22=7.20x+18
solve for x (subtract 5.50x from both sides, subtract 18 from both sides)
4=1.7x (divide by 1.7)
2.4=x
in 2 and a half hours the cost would be the same

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