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school band sells carnations on valentine's day for $2 each. It buys the carnations from a florist for $0.50 each, plus a $16 delivery charge. When will the cost of the carnations be equal to the profit from selling them? How many carnations does it need to sell to reach this point

Respuesta :

Cost = 0.5c + 16
Selling = 2c
At cost = selling...2c =0.5+16
1.5c = 16
c = 10.7 = 11
11 carnations must be sold
aksnkj

The band needs to sell 32 carnations to get its profit equal to the cost of carnation.

Given information:

The school band sells carnations on valentine's day for $2 each.

It buys the carnations from a florist for $0.50 each, plus a $16 delivery charge.

Let x be the number of carnations being bought or sold.

The selling price of the carnations will be,

[tex]S=2\times x[/tex]

The cost price of the carnations will be,

[tex]C=0.5\times x+16[/tex]

The profit will be calculated as,

[tex]p=S-C\\p=2x-(0.5x+16)\\p=1.5x-16[/tex]

When the profit equals the cost of carnation,

[tex]p=C\\1.5x-16=0.5x+16\\x=32[/tex]

Therefore, the band needs to sell 32 carnations to get its profit equal to the cost of carnation.

For more details about profit or loss, refer to the link:

https://brainly.com/question/984538

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