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Johnny and Dustin both went bowling last weekend, but not together. Johnny went during open bowling time, paying $13 for shoe rental and $3 per hour. Dustin went on family night, when each hour was $4 and shoe rental was $3. 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?

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Answer:

10 hours

$43

Step-by-step explanation:

Given that:

Jonny:

Shoe rental = $13

Fee per hour = $3

Dustin :

Shoe rental = $3

Fee per hour = $4

Number of hours bowled is the same

Let number of hours bowled = x

$13 + 3x = $3 + 4x

3x - 4x = $3 - $13

-x = - 10

x = 10

Number of hours each bowled = 10

Amount spent :

Jonny:

$13 + 3x = $13 + $3(10) = $13 + $30 = $43

Dustin :

$3 + 4x = $3 + $4(10) = $3 + $40 = $43

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