Final answer:
To find the amount of gas Wayne used, multiply 2/5 by 16 3/4. Subtract the amount used from the original amount to find how many gallons of gas Wayne would have left. Wayne would have 10 1/4 gallons of gas left.
Step-by-step explanation:
To find out how many gallons of gas Wayne would have left, we start by calculating the amount of gas he used. Wayne used 2/5 of the gas in his tank, so we multiply 2/5 by 16 3/4 to find the amount used: (2/5) * (16 3/4). To multiply a whole number by a fraction, we convert the whole number to a fraction by adding a denominator of 1: (2/5) * (67/4). Next, we multiply the numerators and the denominators: (2 * 67) / (5 * 4). This simplifies to 134/20, which can be further simplified to 6 2/20 or 6 1/10 gallons. To find out how many gallons of gas Wayne would have left, we subtract the amount used from the original amount: 16 3/4 - 6 1/10. To subtract fractions, we need a common denominator, which in this case is 20. Subtracting the fractions gives us 13/20. Finally, we subtract the whole numbers: 16 - 6 = 10. Therefore, Wayne would have 10 13/20 gallons of gas left, which is equivalent to 10 1/4 gallons. So, the answer is B. 10 1/4 gallons.