Answer: Sara would earn $478 for that week
Step-by-step explanation:
1. Sara's weekly salaries is $400, and she gets 6.5% on sales at her work.
2. In order to find how much she would get from the commission of $1200 worth of merchandise they sold, we need to find the 6.5% of 1200
<em> </em><em>Step 1</em><em>: Our output value is 1200.</em>
<em>Step 2</em><em>: We represent the unknown value with x.</em>
<em>Step 3</em><em>: From step 1 above, 1200=100%.</em>
<em>Step 4</em><em>: Similarly, x=6.5%.</em>
<em>Step 5</em><em>: This results in a pair of simple equations:</em>
1200=100%(1).
x=6.5%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both equations have the same unit (%); we have
![\frac{1200}{x} = \frac{100}{6.5}](https://tex.z-dn.net/?f=%5Cfrac%7B1200%7D%7Bx%7D%20%3D%20%5Cfrac%7B100%7D%7B6.5%7D)
<em>Step 7</em><em>: Again, the reciprocal of both sides gives</em>
![\frac{x}{1200} =\frac{6.5}{100}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B1200%7D%20%3D%5Cfrac%7B6.5%7D%7B100%7D)
<em>⇒</em>![x=78](https://tex.z-dn.net/?f=x%3D78)
<em>Therefore, 6.5% of $1200 is $78</em>
3. you would then need to add 400 + 78 and you get a total of $478