A production company spent 59 1/2 days on filming it's first movie. The company's second movie was filmed in 9 3/4 weeks. Find the ratio of the first movies filming time to the second movies filming time. compare in weeks.​

Respuesta :

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.