To solve for the original cost of the camera when you know the tax amount and the tax rate, we can start by using the equation you've provided:
\[ \text{(Original Cost)} \times \text{(Percent)} = \text{Tax Amount} \]
In this case, the "Percent" refers to the tax rate expressed as a decimal. The tax rate is given as 6%, which can be converted to decimal form by dividing by 100:
\[ \text{Percent} = \frac{6}{100} = 0.06 \]
Now, let's rewrite the equation with the variables we have:
\[ (\text{Original Cost}) \times 0.06 = 5.25 \]
To solve for the original cost, we need to isolate it on one side of the equation. This can be done by dividing both sides of the equation by 0.06:
\[ \text{Original Cost} = \frac{5.25}{0.06} \]
Now, you can calculate the original cost:
\[ \text{Original Cost} = 87.50 \]
So, the original cost of the camera is $87.50.
In summary, we adjusted the original equation by substituting the tax rate as a decimal and then rearranged it to isolate the original cost by dividing the tax amount by the decimal representation of the tax rate.
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