Answer:
Ratio = 34:39
Step-by-step explanation:
We are given the following in the question:
Time spent on filming first movie =
[tex]59\dfrac{1}{2}\text{ days}[/tex]
Converting intro weeks:
[tex]t_1 = \dfrac{\frac{119}{2}}{7} = 8\dfrac{1}{2}\text{ weeks}[/tex]
Time spent on filming second movie =
[tex]t_2 = 9\dfrac{3}{4}\text{ weeks}[/tex]
We have to find the ratio of filming time.
Ratio =
[tex]\dfrac{t_1}{t_2} = \dfrac{8\frac{1}{2}}{9\frac{3}{4}} = \dfrac{\frac{17}{2}}{\frac{39}{4}}\\\\=\dfrac{17\times 4}{39\times 2} = \dfrac{34}{39}[/tex]
Thus, 34:39 is the ration of the first movies filming time to the second movies filming time.