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You are going on a road trip over a distance of 3000 kilometers with three friends. The car consumes 6 liters of gas per 100 kilometers and gas costs $1.20 per liter.
If you want to split the cost of gas evenly between the four of you, how much should each of you chip in?

Respuesta :

dexteright02
Let's make the rule of three: (To calculate the volume of gas spent by the distance traveled)

(volume)_____(Distance)
6 L ----------------- 100 Km
x L ----------------- 3000 Km

Directly proportional
[tex] \frac{6}{x} = \frac{100}{3000} [/tex]
multiply cross
[tex]100*x = 6*3000[/tex]
[tex]100x = 18000[/tex]
[tex]x = \frac{180\diagup\!\!\!\!0\diagup\!\!\!\!0}{1\diagup\!\!\!\!0\diagup\!\!\!\!0} [/tex]
[tex]\boxed{x = 180\:L}[/tex]

Let's make the rule of three: (To calculate the amount of gas consumed by the volume in liters consumed).

(volume)_____(value)
1 L ----------------- $1.20
180 L ------------- $ y

Directly proportional
[tex] \frac{1}{180} = \frac{1.20}{y} [/tex]
multiply cross
[tex]1*y = 180*1.20[/tex]
[tex]y = 216 \to \boxed{\$216}[/tex]

Now divide the value between the four friends:
[tex] \frac{216}{4} = \boxed{\$54}[/tex]

Therefore:
[tex]\underline{The\:gas\:cost\:evenly\:among\:the\:four\:will\:be\:\$\:54}[/tex]
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