the Kimball family. is going on a biking trip next they went to bike to Baltimore 27 1/2 mile away from their home they only want to travel 18 1/8 miles each day how many Will it take the Kimball family to get to Baltimore​

Respuesta :

Answer:

It takes 1.5 days  for the Kimball family to get to Baltimore

Step-by-step explanation:

Given:

Total distance from the home to Baltimore = [tex]27 \frac{1}{2}[/tex]

Distance they would travel on each day =  [tex]18 \frac{1}{8}[/tex]

To Find:

How many days it will take the Kimball family to reach Baltimore = ?

Solution:

Lets first convert mixed fraction into fraction

[tex]27 \frac{1}{2}[/tex] = [tex]\frac{2 \times 27 + 1}{ 2}[/tex] = [tex]\frac{54+1}{2}[/tex] = [tex]\frac{55}{2}[/tex]

[tex]18\frac{1}{8}[/tex] =[tex]\frac{18 \times 8 +1 }{8}[/tex] =[tex]\frac{144+1}{8}[/tex]= [tex]\frac{145}{8}[/tex]

Now,

In one day = [tex]\frac{145}{8}[/tex]

In x day = [tex]\frac{55}{2}[/tex]

By Cross multiplication

[tex]\frac{55}{2} = x \times \frac{145}{8}[/tex]

[tex]x = \frac{55}{2} \times \frac{8}{145}[/tex]

[tex]x = \frac{220}{145}[/tex]

[tex]x = \frac{44}{29}[/tex]

x = 1.517

x =  1. 5 days