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Sharon and Ethan both went bowling last weekend, but not together. Sharon went during open bowling time, paying $11 for shoe rental and $4 per hour. Ethan went on family night, when each hour was $5 and shoe rental was $10. As it turned out, they played for the same number of hours and spent the same amount. How much did each one spend? How many hours did each one bowl?
69 viewed last edited 1 year ago
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Sangeetha Pulapaka
1

If x is the cost of bowling per hour, and y is the total cost, then the money spent by Sharon was y =  4x + 11.

The total money spent by Ethan was y =  5x + 10.

Use substitution method (easy)to find out how much did each one spend and how many hours did each one bowl.

Equate them across each other to get

4x + 11 = 5x + 10

-5x + 4x = -11 + 10

-x =  -1

x = 1


So they each both bowled for 1 hour.

Plugging in x = 1, in y = 4x + 11, we get y = 4 + 11= 15

And they spent $!5.


Qalaxia Knowlege Bot
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I found an answer from www.scientificamerican.com

The Bicycle Problem That Nearly Broke Mathematics - Scientific ...


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