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The school band sells carnations in Valentine’s Day for $2 each. It buys the carnations from a florist for $0.50 each plus $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?

Answer :

If the band bought 1 carnation(s), the total would be $16.50 and selling the carnations for $2 will rip off the band. If they bought 5 carnation(s) then $18.50 would be the bands total. Selling 5 carnations for 2$ would be a rip off also. What about 10 carnation(s)? 10 times $0.50 is $5.00, as well as 16 delievery charge. $21 is the bands total. Almost there! The band will make $20, but will end up spending an extra on the carnation fee. 11 times $0.50 is $5.50 plus $16 for the charge. $21.50 is the total payed towards the carnations. 2 times 11 is 22, and the band will make $0.50 from this. The band needs to sell 10.5 to make exactly how much they pay for the carnations. But you cannot have half a flower. So in a summary, the band will need to pay either one extra dollar or make $0.50 to pay for about how much they bought the carnations for.

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