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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?

Verified Answer :

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
\(\frac{6}{x} = \frac{100}{3000}\)
multiply cross
\(100*x = 6*3000\)
\(100x = 18000\)
\(x = \frac{180\diagup\!\!\!\!0\diagup\!\!\!\!0}{1\diagup\!\!\!\!0\diagup\!\!\!\!0}\)
\(\boxed{x = 180\:L}\)

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
\(\frac{1}{180} = \frac{1.20}{y}\)
multiply cross
\(1*y = 180*1.20\)
\(y = 216 \to \boxed{\$216}\)

Now divide the value between the four friends:
\(\frac{216}{4} = \boxed{\$54}\)

Therefore:
\(\underline{The\:gas\:cost\:evenly\:among\:the\:four\:will\:be\:\$\:54}\)




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