A jewelry maker works 6 days a week, makes 15 necklaces per day on average, and charges $18 a necklace. If she lowers her price to $10 a necklace, by how many necklaces per day on average must she increase her production to make the same amount of money per 6-day workweek?

Respuesta :

6 days a week......15 necklaces per day....18 per necklace
6 * 15 * 18 = 1620 for a 6 day workweek

6 days a week.....x necklaces per day.....10 per necklace.....makes 1620
10x = 1620
x = 1620/10
x = 162....162 necklaces for a 6 day work week

162/6 = 27....she should make 27 per day......so she should increase by (27 - 15) = 12   per day

The number of necklaces per day on average must she increase her production is 12 per day.

Given that,

  • A jewelry maker works 6 days a week, makes 15 necklaces per day on average, and charges $18 a necklace.
  • The price should be decreased by $10.

Based on the above information, the calculation is as follows:

For 6 days, the total cost should be

[tex]= 6 \times 15 \times 18[/tex]

Since the price is decreased by $10

So, the number of necklaces should be

[tex]= \frac{\$1620}{\$10}[/tex]

= 162

Now per day it should be

[tex]= \frac{162}{6}[/tex]

= 27

So, the increase per day should be

= 27 - 15

= 12

Therefore we can conclude that the number of necklaces per day on average must she increase her production is 12 per day.

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