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?
A 6 dozen
B 7 dozen
C 8 dozen
D 9 dozen
Let X be the number of dozen roses.
17-X is the number of dozen carnations.
15 X + 8(17-X) = 192
7 X = 192 - 136 = 56
Solve that for X
45
To find the number of dozens of roses Shereda bought, we can use the equation:
15X + 8(17 - X) = 192
Simplify the equation by distributing 8 to both terms inside the parentheses:
15X + 136 - 8X = 192
Combine like terms:
7X + 136 = 192
Now, isolate the variable by subtracting 136 from both sides:
7X = 192 - 136
7X = 56
Finally, solve for X by dividing both sides by 7:
X = 56 / 7
X = 8
Therefore, Shereda bought 8 dozen roses. So the answer is option C: 8 dozen.