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,
\(S=2\times x\)
The cost price of the carnations will be,
\(C=0.5\times x+16\)
The profit will be calculated as,
\(p=S-C\\p=2x-(0.5x+16)\\p=1.5x-16\)
When the profit equals the cost of carnation,
\(p=C\\1.5x-16=0.5x+16\\x=32\)
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
