Question

Patrick and Oscar both went bowling last weekend, but not together. Patrick went during open bowling time, paying $1 for shoe rental and $6 per hour. Oscar went on family night, when each hour was $1 and shoe rental was $11. As it turned out, they played for the same number of hours and spent the same amount. How many hours did each one bowl? How much did each one spend?

Answer 1

• The spent 2 hours and $13.

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Patrick has spent:

• 6x + 1 for x hours

Oscar has spent:

• x + 11 for x hours

Since they both spent same amount of money, we have:

• 6x + 1 = x + 11
• 6x - x = 11 - 1
• 5x = 10
• x = 2

They both spent 2 hours and $(2 + 11) = $13.