SOLUTION: A florist sells roses for $1.50 each and carnations for $.85 each. Suppose your purchase a bouquet of 1 dozen flowers consisting of roses and carnations. a. Declare an appropri

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A florist sells roses for $1.50 each and carnations for $.85 each. Suppose your purchase a bouquet of 1 dozen flowers consisting of roses and carnations. a. Declare an appropri      Log On

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Question 1125405: A florist sells roses for $1.50 each and carnations for $.85 each. Suppose your purchase a bouquet of 1 dozen flowers consisting of roses and carnations.
a. Declare an appropriate variable for the number of carnations in the bouquet.
b. Use the variable from question A to write an expression for the number of roses in the bouquet.
c. Using variable from question A write an expression that represents the cost of purchasing the carnations.
D. Using your expression from question B write an expression that represents the cost of purchasing the roses.
E. Add the expressions from questions C and D and simplify. What does the resulting expression represent?
F. Suppose you are willing to spend $14.75. Write and solve an equation that can be used to determine the number of carnations that be included in a bouquet of 1 dozen flowers consisting of roses and carnations.
G. Based on your results from question F, how many carnations and roses are in 1 bouquet of 1 dozen flowers?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
r, number of roses
c, number of carnations


cost of roses, 1.5r
cost of carnations, 0.85c

cost to purchase these r roses and c carnations: 1.5r%2B0.85c


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you are willing to spend $14.75.
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1.5r%2B0.85c%3C=14.75
Only Whole Numbers no greater than 12 are allowed.

5 of carnations and 7 of roses would work.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

a.  c = number of carnations
b.  12-c = number of roses (because the total number of flowers is 12)
c.  0.85c  (the carnations cost $0.85 each)
d.  1.5(12-c)  (the roses cost $1.50 each)
e.  (0.85c)+(1.5(12-c)) = 0.85c+18-1.5c = 18-0.65c  (represents the total cost of the 12 flowers)
f.  18-0.65c = 14.75
    0.65c = 3.25
    c = 5
g.  The bouquet that costs $14.75 contains c = 5 carnations and 12-c = 7 roses