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A band will sell CDs of their music at their concert for $5.00 each. The band ordered 300 CDs at a cost of $1.25 each. Which inequality represents the number of CDs, n, the band needs to sell to make a profit of at least $500?

1. x is greater to or equal to 99
2. x is greater to or equal to 100
3. x is greater to or equal to 133
4. or x is greater to or equal to 134

Respuesta :

Given:

Selling price of each CD = $5.00

Cost price of each CD = $1.25

Number of CDs ordered = 300

Profit must be at least $500.

To find:

The number of CDs needs to sell.

Solution:

Let n be the number of CDs needs to sell.

Selling price of each CD = $5.00

Selling price of x CDs = $5n

Cost price of each CD = $1.25

Cost price of 300 CDs = 300×$1.25

                                      = $375

We know that,

[tex]Profit=S.P.-C.P.[/tex]

[tex]Profit=5n-375[/tex]

Profit must be at least $500. it means profit must be greater than or equal to $500.

[tex]5n-375\geq 500[/tex]

[tex]5n\geq 500+375[/tex]

[tex]n\geq \dfrac{875}{5}[/tex]

[tex]n\geq 175[/tex]

All options are incorrect. The required inequality is n is greater than or equal to 175.

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