It will take approximately 91 hours for the store manager to make $500 or more than the store clerk.
If the store clerk is paid $10.75/ hour and the store assistant manager is paid $16.25/ hour, the difference in their pay per hour will be expressed as:
The difference in the amount earned per hour = 16.25 - 10.75
The difference in the amount earned per hour = $5.5
This means that the store assistant manager will collect $5.5 more than the store clerk in one hour. This can be expressed as:
$5.5 = 1 hour
To determine how long it will take the store manager to make $500 or more than the store clerk, we can write:
$500 = x
Divide both expressions:
[tex]\dfrac{5.5}{500} =\dfrac{1}{x} \\Cross \ multiply\\5.5x = 500 \times 1\\5.5x = 500\\x=\frac{500}{5.5}\\x= 90.9 \ hours[/tex]
This means that it will take approximately 91 hours for the store manager to make $500 or more than the store clerk.
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