To determine how many gallons of gas the van needs to travel 550 miles, we first need to find the gas mileage of the van.
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Calculate the miles per gallon (MPG): The van travels 220 miles on 10 gallons of gas. We can calculate the miles per gallon as follows:
\[ \text{MPG} = \frac{\text{miles}}{\text{gallons}} = \frac{220 \text{ miles}}{10 \text{ gallons}} = 22 \text{ miles per gallon} \]
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Determine the gallons needed for 550 miles: Now, we want to find out how many gallons are needed to travel 550 miles. We can use the miles per gallon we just calculated:
\[ \text{Gallons needed} = \frac{\text{miles}}{\text{MPG}} = \frac{550 \text{ miles}}{22 \text{ miles per gallon}} = 25 \text{ gallons} \]
Therefore, the van needs 25 gallons of gas to travel 550 miles.
The answer is 25 gallons of gas.