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Marizza181 [45]
3 years ago
9

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 kil

ometers 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?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
4 0
Let's make the rule of three: (<span>To calculate the volume of gas spent by the distance traveled)
</span><span>
(volume)_____(Distance)
6 L ----------------- 100 Km
x L ----------------- 3000 Km

</span><span>Directly proportional
</span>\frac{6}{x} =  \frac{100}{3000}
<span>multiply cross
</span>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: (<span>To calculate the amount of gas consumed by the volume in liters consumed).
</span>
(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}

<span>Now divide the value between the four friends:
</span>\frac{216}{4} = \boxed{\$54}

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


<span>

</span>
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