< \( 5.10: \mathrm{Mathx} \) for Schoot Proctice 5 . Problom solving \( 5.10 \mathrm{PS}-24 \) Writing Paul's car holds at most 18 gallons of gas. Now it has 6 gallons. Use pencil and paper. Explain how to find the amount of gas he needs, in liters, to fill the gas tank. Use the conversion factors \( \frac{4 \text { quarts }}{1 \text { gallon }} \frac{0.94}{1 \text { and liters }} \frac{\text { quart }}{} \). Then find this amount. He needs about \( \square \) liters of gas to fill the gas tank. (Round to the nearest liter as needed.)

To find out how much more gas Paul needs, start by subtracting the current amount from the tank capacity. So, 18 gallons (capacity) - 6 gallons (current) gives you 12 gallons needed. Now, we’ll need to convert gallons to liters. Since there are approximately 4 quarts in a gallon, you first multiply 12 gallons by 4, which gives you 48 quarts. Now, with the conversion factor that 1 quart is about 0.94 liters, multiply 48 by 0.94, which equals about 45.12 liters. Rounding that to the nearest liter, Paul needs about 45 liters of gas to fill his tank! Always double-check your conversions! A common mistake is forgetting to multiply the required amount by the correct conversion factor. If you skip a step, like jumping from gallons to liters without accounting for quarts, you’ll end up with the wrong answer. Remember, it’s all about those little details—stay organized, and you’ll ace the calculations!