+0  
 
+1
109
2
avatar

Glen traveled from Chicago to Paris last week. Glen completed 2/3 of the distance in the morning and 1/2 of the remaining distance in the afternoon. Glen still had 7 miles to travel. What is the distance from Chicago to Paris?

 Apr 8, 2021
 #1
avatar+11866 
+1

Glen traveled from Chicago to Paris last week. Glen completed 2/3 of the distance in the morning and 1/2 of the remaining distance in the afternoon. Glen still had 7 miles to travel. What is the distance from Chicago to Paris?

 

Hello Guest!

 

\(x=\frac{2}{3}x+\frac{1}{2}(x-\frac{2}{3}x)+7miles\\ x-\frac{2}{3}x-\frac{1}{2}(x-\frac{2}{3}x)=7miles\\ x-\frac{2}{3}x-\frac{1}{2}x+\frac{1}{3}x=7miles\\ \frac{6-4-3+2}{6}\cdot x=7miles\\ x=6\cdot 7miles\\ \color{blue}x=42miles\)

 

The distance from Chicago to Paris (Illinois) is 42 miles.

laugh  !

 Apr 8, 2021
edited by asinus  Apr 8, 2021
edited by asinus  Apr 8, 2021
 #2
avatar
+1

1 = whole distance

( 1 - 2/3 - 1/2(1/3)  ) x = 7 

1/6 x = 7

x = 42 miles

 Apr 9, 2021

18 Online Users