Mark is buying asphalt to pave a new section of road. The road will be 2000 feet long and 20 feet wide. Each truckload of asphalt will cover 800 square feet of road. If each truckload costs $75, and there's a 20% sales tax, how much will Mark need to pay for asphalt? Let's answer step by step:
First, calculate how many square feet of road Mark needs to cover by multiplying the length by the width: 2000 feet * 20 feet = 40,000 sq ft. Then divide the square footage of road by the number of square feet each truckload will cover: 40,000 sq ft / 800 sq ft / truckload = 50 truckloads. Now multiply the number of truckloads by the cost per truckload: $75 / truckload * 50 truckloads = $3750. Now calculate the sales tax by multiplying $3750 by 20%: $3750 * .2 = $750. Now add the sales tax to the cost of the asphalt to find the total: $750 + $3750 = $4500. The answer: 4500.