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# Fractions

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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
+11418
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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.

!

Apr 8, 2021
edited by asinus  Apr 8, 2021
edited by asinus  Apr 8, 2021
#2
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1 = whole distance

( 1 - 2/3 - 1/2(1/3)  ) x = 7

1/6 x = 7

x = 42 miles

Apr 9, 2021