Question

Rollaround skate rink charges $5 admission and $3 per hour for a skate rental. Spinaround skate rink charges $8 admission and $1.50 per hour for a skate rental. Write an equation to determine at what point the cost of both roller skating rinks is the same.​

Answer 1

2 hours

Explanation:

Let x be the time, in hours, for which the cost of Rollaround and Spinaround are the same.

Rollaround Cost (Cr): Cr = $5 + $3x

Spinaround Cost (Cs): Cs = $8 + $1.50x

We want to find the value of x that makes Cr = Cs

Cr = Cs

$5 + $3x = $8 + $1.50x

$1.50x = $3

x = 2 hours

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CHECK:

Cr = $5+$3(2) = $11

Cs = $8+$1.50(2) = $11

At 2 hours, both cost the same.