A car uses 25 litres of fuel when travelling 355 kilometers. How far can it travel with 42 liters of fuel

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A car uses 25 litres of fuel when travelling 355 kilometers. How far can it travel with 42 liters of fuel

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Calantha 3 years 2021-07-16T07:21:58+00:00 1 Answers 13 views 0

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  1. thienhuong
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    2021-07-16T07:23:33+00:00
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    Answer:

    \boxed {\boxed {\sf 596.4 \ kilometers}}

    Step-by-step explanation:

    Let’s create a proportion using this setup.

    \frac {liters}{kilometers} = \frac{liters}{kilometers}

    We know that 25 liters are used for 355 kilometers.

    \frac {25 \ liters}{355 \ kilometers} = \frac{liters}{kilometers}

    We don’t know how many kilometers are used with 42 liters. Therefore we say x kilometers are used for 42 liters.

    \frac {25 \ liters}{355 \ kilometers} = \frac{42 \ liters}{x \ kilometers}

    \frac {25 }{355 } = \frac{42 }{x}

    Cross multiply. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.

    25*x=42*355

    25x=14910

    Since we are solving for x, we need to isolate the variable. x is being multiplied by 25. The inverse of multiplication is division, so divide both sides by 25.

    \frac{25x}{25}=\frac {14910}{25}

    x=596.4

    The car can travel 596.4 kilometers with 42 liters of fuel.

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