What is the ratio of a gasoline fuel load of 200 gallons to one of 1,680 pounds?

To determine the ratio of a gasoline fuel load of 200 gallons to 1,680 pounds, it's essential to first convert gallons of gasoline to pounds. The weight of gasoline is approximately 6 pounds per gallon. Therefore, the weight of 200 gallons of gasoline can be calculated as follows:

200 gallons × 6 pounds/gallon = 1,200 pounds.

Now, to find the ratio of 1,200 pounds (the weight of the gasoline) to 1,680 pounds, we express this as:

1,200 pounds : 1,680 pounds.

Next, we simplify this ratio by dividing both sides by the greatest common divisor (GCD). The GCD of 1,200 and 1,680 is 240. Dividing each part of the ratio by 240 gives:

1,200 ÷ 240 = 5,

1,680 ÷ 240 = 7.

Thus, the ratio simplifies to 5:7, which aligns with the correct answer choice. This relationship shows how two quantities can be compared in context, essential for understanding fuel loading and weight distribution in aviation scenarios. Knowing how to convert and simplify ratios is a valuable skill for pilots and those working in aviation.