Question

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?

Answer 1

Number of carnations = 6

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 =
`(15)/(2.50)`

or x = 6

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