Problema Solution
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?
Answer provided by our tutors
let
r = the number of roses in dozens
c = the number of carnations in dozens
Shereda bought a total of 17 dozen flowers
r + c = 17
and paid a total of $192
15r + 8c = 192
by solving the system of equations
r + c = 17
15r + 8c = 192
we find
r = 8 dozens of roses
c = 9 dozens of carnations
click here to see the step by step solution of the system of equations
the total number of roses is 8 dozens or 8*12 = 96 roses (since 1 dozen = 12).
the total number of carnations is 9 dozens or 9*12 = 108 carnations (since 1 dozen = 12).