Question

Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise? Sara would earn $______ for that week.

Answer 1

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

Step 1: Our output value is 1200.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 1200=100%.

Step 4: Similarly, x=6.5%.

Step 5: This results in a pair of simple equations:

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

$\frac{1200}{x} = \frac{100}{6.5}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{1200} =\frac{6.5}{100}$

⇒$x=78$

Therefore, 6.5% of $1200 is $78

3. you would then need to add 400 + 78 and you get a total of $478