SOLUTION: Hello I'm really confused on my homework problem, it's: For a wedding, Shereda bought several dozen roses and several dozen carnations. The roses cost $15 per dozen, and the carnat

Click here to see ALL problems on Linear-systems

Question 732757: Hello I'm really confused on my homework problem, it's: For a wedding, Shereda bought several dozen roses and several dozen carnations. The roses cost $15 per dozen, and the carnations cost $8 per dozen. Shereda bought a total of 17 dozen flowers and paid a total of $192. How many roses did she buy?
Thanks.
Found 4 solutions by stanbon, josmiceli, richwmiller, lynnlo:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
Shereda bought several dozen roses and several dozen carnations.
The roses cost $15 per dozen, and the carnations cost $8 per dozen.
Shereda bought a total of 17 dozen flowers and paid a total of $192. How many roses did she buy?
Equations:
Quantity Eq: r + c = 17 dozen
Value Eq:::15r+ 8c = 192 dollars
---------------------------------------
Modify:
8r + 8c = 8*17
15r+ 8c = 192
---------
Subtract and solve for "r":
7r = 56
r = 8 (# of dozen of roses bought)
-----
Solve for "c":
r + c = 17
8 + c = 17
c = 9 (# of dozen of carnations bought)
===================
cheers,
Stan H.
===================

Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website!

The problem only talks about dozens of
flowers, so that is the unit to use
Let = dozens of roses she bought
= dozens of carnations she bought
given:

She bought 8 dozen roses
check:

OK

Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website!
r+c=17,
15r+8c=192

Answer by lynnlo(4176)   (Show Source):
You can put this solution on YOUR website!
ROSES======8 DOZENS=$120.00
CARNATIONS=9 DOZENS=$72.00
===========================
FLOWERS=17 DOZENS===$192.00