The number of walkways that must be shoveled to result in equal billing from both companies is 10
Calculating cost
From the question, we are to determine how many walkways must be shoveled to result in equal billing from both companies
Let the number of walkways be x
From the given information,
Bobs snowplow business charges 300$ per season plus 10$ for each walkway shoveled
∴ If x walkways are shoveled
the billing will be $300 + $10x
For Mikes snow removal
Mikes snow removal charges 250$ per season plus 15$ per walkway
∴ If x walkways are shoveled
the billing will be $250 + $15x
Now, we are to determine the value of x for which the billings from both companies will be equal,
That is,
$300 + $10x = $250 + $15x
$15x - $10x = $300 - $250
$5x = $50
x = $50 / $5
x = 10
Hence, the number of walkways that must be shoveled to result in equal billing from both companies is 10.
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