Set up and solve a system of equations to solve the problem the school band sells carnations on valentine's day for $3 each. it buys the carnations from a florist for $0.50 each, plus a $15 delivery charge. when will the cost of the carnations be equal to the revenhue from selling them? how many carnations does it neex to sell to reach this point?

Number of carnations = 6

Step-by-step explanation:

Let the number of carnations school band buys from florist be x.

Cost of each carnation = $0.50

Total cost for x number of carnations = $0.50x

Also , delivery cost = $15

So, total cost on buying x number of carnations from florist = 0.50x + 15

Now,

School band sells carnations at a price of $3 each.

Total revenue they get get after selling x number of carnations = $3x

We need to find that , when will the cost of the carnations be equal to the revenue from selling them.

i.e 3x = 0.50x + 15

or 3x - 0.50x = 15

or 2.50x = 15

or x =

or x = 6

so on selling 6 carnations cost of carnation reach to the point where it is equal to revenue  

to determine the unit cost your would divide the total cost by the number sold.

7 bagels for $4.41       $4.41/7 = $.63 each at fresh side

5 bagels for $3.60         $3.60/5 = $.72 each at value mart