Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 23 gallons of gasoline to travel 460 miles. If the car travels 240 miles, how much gasoline does it need?gallons
Question
Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 23 gallons of gasoline to travel 460 miles. If the car travels 240 miles, how much gasoline does it need?gallons
Solution
Sure, let's solve this problem step by step.
Step 1: Understand the problem The problem states that the distance a car travels varies directly with the amount of gasoline it uses. This means that the ratio of distance to gasoline is constant. We know that the car uses 23 gallons of gasoline to travel 460 miles.
Step 2: Set up the ratio We can set up the ratio as follows: 460 miles / 23 gallons = 240 miles / x gallons
Step 3: Solve for x Cross-multiplying gives us: 460 * x = 23 * 240 Solving for x gives us: x = (23 * 240) / 460
Step 4: Calculate the answer x = 12 gallons
So, the car needs 12 gallons of gasoline to travel 240 miles.
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