Answer:
4 hours
Step-by-step explanation:
Big time ski mountain charges $5 per hour plus $50 insurance.
Powder hills charges $10 per hour plus $30 insurance.
Let the number of hours be x.
For big time ski mountain, it means the total cost of x hours of lesson is:
[tex]B=50+5(x)\\B=50+5x[/tex]
For powder hills , it means the total cost of x hours of lesson is:
[tex]P=30+10(x)\\P=30+10x\\[/tex]
We need to equate both equations to find the time that the costs would be the same.
That is :
[tex]50+5x=30+10x[/tex]
Collect like terms:
[tex]10x-5=50-30\\5x=20[/tex]
Divide through by 5:
[tex]x=\frac{20}{5} \\x=4 hours[/tex]
It would take 4 hours for the cost of the lessons to be the same.
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