The answers is:
They will need 31 hours to fulfill the 372 Valentine's Day orders.
From the statement we know that June and Stella can each create six floral arrangements in one hour, meaning that they both can create 12 floral arrengements the same hour working together, so, to calculate how many hours will they need to fulfill the orders, we need to use the following equation:
[tex]Hours=\frac{Orders}{JuneRate+StellaRate}[/tex]
We know that:
[tex]JuneRate=6\frac{arrangements}{hour}\\\\StellaRate=6\frac{arrangements}{hour}[/tex]
So, substituting and calculating, we have:
[tex]Hours=\frac{372Arrangements}{6\frac{arrangements}{hour}+6\frac{arrangements}{hour}}[/tex]
[tex]Hours=\frac{372Arrangements}{12\frac{arrangements}{hour}[/tex]
[tex]Hours=31hours[/tex]
Hence, we have that they will need 31 hours to fulfill the 372 Valentine's Day orders.
Have a nice day!
