A store clerk is paid $10.75/ hour and a store assistant manager is paid $16.25/ hour. How long would it take the store managerto make $500 or more than the store clerk? Round to the nearest hour. Show all work.

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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