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2 votes
2 votes
Zymirah earns 5% commission on all sales at a jewelry store plus $10 an hour. Yesterday she sold $3,200 in merchandise and earned a total of $240. How many hours does she work?

User Arn Vanhoutte
by
2.8k points

2 Answers

8 votes
8 votes

Final answer:

Zymirah earned a commission of $160 from her sales and $80 from her hourly wage, totaling $240. By dividing her hourly earnings by her hourly wage, we can determine that Zymirah worked for 8 hours.

Step-by-step explanation:

Zymirah earns a total of $240 from her work, which includes a 5% commission on her sales and a fixed rate of $10 per hour. Since we know the total sales were $3,200, we can first calculate the commission earned from these sales.

The commission earned on sales is calculated as 5% of $3,200:

  1. Commission = 5% of $3,200
  2. Commission = 0.05 × $3,200
  3. Commission = $160

We can then determine the hourly earnings separately by subtracting the commission from the total earnings.

Total hourly earnings = Total earnings - Commission

Total hourly earnings = $240 - $160

Total hourly earnings = $80

Now we can calculate the number of hours worked by dividing the hourly earnings by the hourly rate:

  1. Hours worked = Total hourly earnings / Hourly rate
  2. Hours worked = $80 / $10 per hour
  3. Hours worked = 8 hours

Therefore, Zymirah worked for 8 hours.

User Ptkato
by
2.8k points
20 votes
20 votes

Answer:

8 hours

Step-by-step explanation:

Given data

Commission= 5%

Sales= $3,200

Total earnings= $240

Let us find the amount in commission earned

=5/100*3,200

=0.05*3,200

=$160

Hence 240-160=$80

$80 is the amount earned yesterday

we are told that per hour is $10

Hence $80 will be earned for

=80/10

=8 hours

User Aace
by
3.2k points