This month, Bia earned $157.50 in commission. How much money, in dollars, did she have in sales? Enter a number in the space provided

Total sales made = $ 4500

Step-by-step explanation:

The complete question is

Bia earns a commission on the sales she makes each month. Within a month, Bia earns a 3%  commission on the first $3000 she has in sales. She earns a  4.5 % commission on the amount of her sales that are greater than $3000 .This month, Bia earned  in commission $157.50. How much money, in dollars, did she have in sales? Enter a number in the space provided.

Solution

3% of the total sales made is the commission on the first $3000 for Bia and on the remaining sum of money the profit made was

Thus,

3% of 3000 + 4.5% of (X -3000) = $157.50

On solving we get -

3% * 3000 + 4.5% * (X-3000) = $157.50

$90 + 4.5% * (X-3000)  = $157.50

$90 + 0.045 X - $135 = $157.50

0.045 X =  $157.50 + $135 - $90

X = 4500

Total sales made = $ 4500

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