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A motorcycle consumes 4 liters of gasoline for every 60 kilometers traveled. How many liters are needed to travel 210 kilometers?

Mathematics

ScanSolve AI Answer

Answer

C. 14 L\text{C. 14 L}

Step-by-step solution

3 steps
  1. Set up a proportion based on the given information.

    The problem states that 4 liters of gasoline are consumed for every 60 kilometers traveled. We need to find out how many liters (xx) are needed to travel 210 kilometers. We can set up the proportion as:

    liters1liters2=distance1distance2\frac{\text{liters}_1}{\text{liters}_2} = \frac{\text{distance}_1}{\text{distance}_2}

    Substituting the given values:

    4x=60210\frac{4}{x} = \frac{60}{210}
  2. Cross-multiply to solve for xx.

    4×210=60×x4 \times 210 = 60 \times x 840=60x840 = 60x
  3. Divide to find the value of xx.

    x=84060x = \frac{840}{60} x=14x = 14

    Therefore, 14 liters of gasoline are needed.

    The final answer is C. 14 L\text{C. 14 L}.

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