Question

Mia is a sales associate at an art gallery. Each week she earns $300 plus a 4% commission of all her sales. This week she earned $327. How much, in dollars, were Mia's art sales this week?

Answer 1

$327-$300(her base pay) is $27
Divide 27 by 4(the percentage) to get $6.75
$6.75 times 100 is $675
Mia sold $675 worth of art this week

Answer 2

$675

Explanation:

Hello

According to the question

Mia earns $300 per week plus 4% of all her sales,in other terms

Step 1

define the equation.

(1)Mia´s wage= $300+(4 % of her sales)

for this week, she had a wage of $327

Step 2

Let

wage =$327

replacing in the equation (1)

$327 = $300 +(4 % of her sales)

subtract $300 in both sides

$327-$300=$300-$300+(4 % of her sales)

$327-$300=(4 % of her sales)

the difference between what she earned this week($327) and her fixed salary($300) is the profit per commission (4% of her sales)

$27=(4 % of her sales),

Step 3

using a rule of three is is possible to find the total sales

if

$27=4%

$x?= 100%

Do the relationship

(27/4)=(x/100)

now, isolate x

(27*100)/4=x

x=675

she sold $675 this week

have a great day.