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Salsk061 [2.6K]
2 years ago
13

SOFTWARE A software company releases two products: a home version of their photo editor, which costs $20, and a professional ver

sion, which costs $45. The company sells 1000 copies of the photo editing software, earning total revenue of $38,075. Write and solve a system of equations to determine how many home versions and professional versions of the software the company sold. Let h = the number of home versions sold and p= the number of professional versions sold.
Mathematics
1 answer:
GaryK [48]2 years ago
6 0

The software company released 227 home versions and 723 professional versions.

<h3>Equation</h3>

Let  h represent the number of home versions sold and p represent the number of professional versions sold.

Since 1000 copies where sold, hence:

  • x + y = 1000    (1)

Also the revenue was $38075, hence:

  • 20h + 45p = 38075     (2)

Solving equations 1 and 2 simultaneously gives:

h = 227, p = 723

The software company released 227 home versions and 723 professional versions.

Find out more on equation at: brainly.com/question/13763238

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Answer:

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2 years ago
Does the bathroom have enough water and shampoo for 888 long-haired members and 777 short-haired members?
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Complete question :

Members of the swim team want to wash their hair. The bathroom has less than 5600 liters of water and at most 2.5 liters of shampoo. 70L+ 60S < 5600 represents the number of long-haired members L and short-haired members S who can wash their hair with less than 5600 liters of water. 0.02L + 0.01S < or equal to 2.5 represents the number of long-haired members and short-haired members who can wash their hair with at most 2.5 liters of shampoo. Does the bathroom have enough water and shampoo for 8 long-haired members and 7 short -haired members?

Answer:

Yes , there is enough water and shampoo

Step-by-step explanation:

Given that:

Number of long and short hair member who can wash their hair with less than 5600 litres of water.

70L+ 60S < 5600

Number of long and short hair member who can wash their hair with at most 2.5 litres of shampoo

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Water check:

70L+ 60S < 5600

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70(8) + 60(7) < 5600

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Inequality constraint is satisfied ; There is enough water.

Shampoo check:

0.02L + 0.01S ≤ 2.5

L = 8 ; S = 7

0.02(8) + 0.01(7) ≤ 2.5

0.16 + 0.07 ≤ 2.5

0.23 ≤ 2.5

Inequality constraint is satisfied ; There is enough shampoo

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