A farmer has 100 acres of land to plant corn and wheat. Each acre of corn requires 2 hours of labor, and each acre of wheat requires 1 hour of labor. If the farmer has a total of 150 hours of labor available, how many acres of corn and wheat can he plant?

Let x be the acres of corn and y be the acres of wheat. The equations are: x + y ≤ 100 and 2x + y ≤ 150. Solve the system to find feasible values for x and y.

A bookstore sells novels for $12 each and textbooks for $15 each. If a student buys a total of 10 books and spends $135, how many novels and textbooks did the student buy?

Let x be the number of novels and y be the number of textbooks. The equations are: x + y = 10 and 12x + 15y = 135. Solve for x and y.

If 5 times a certain number decreased by 3 is less than 22, what is the range of possible values for that number?

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A car can travel a distance of 240 miles on 8 gallons of gas. If the car's fuel efficiency does not change, how far can it travel on 12 gallons of gas?

Find the miles per gallon: 240 miles / 8 gallons = 30 miles/gallon. Then, 30 miles/gallon * 12 gallons = 360 miles.

A company produces x units of a product at a cost of 50x + 200. If the company wants the cost to be less than $3,000, what is the maximum number of units it can produce?

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A train travels 150 miles in 2.5 hours. If it continues at the same speed, how long will it take to travel 240 miles?

First, find the speed: 150 miles / 2.5 hours = 60 miles/hour. Then, time = distance / speed = 240 miles / 60 miles/hour = 4 hours.

A store offers a discount of 20% off all items. If a jacket originally costs $90, what is the sale price?

Calculate the discount: 20% of $90 is 0.2 * 90 = $18. Sale price = $90 - $18 = $72.

A recipe calls for 2 cups of sugar for every 3 cups of flour. If you want to use 9 cups of flour, how many cups of sugar do you need?

Set up a ratio: (2 cups sugar / 3 cups flour) = (x cups sugar / 9 cups flour). Cross-multiply to get 2 * 9 = 3x, which simplifies to x = 6 cups of sugar.

If a rectangle has a length that is 4 feet longer than its width and the perimeter is 48 feet, what are the dimensions of the rectangle?

Let width = w. Then length = w + 4. The perimeter P = 2(length + width) = 2(w + 4 + w) = 48. Solve for w: 4w + 8 = 48 gives w = 10. Length = 14. Dimensions are 10 feet by 14 feet.

A person can read a book in 6 hours. If they read for 2 hours each day, how many days will it take them to finish the book?

Total reading time = 6 hours. Reading 2 hours per day means it will take 6 hours / 2 hours/day = 3 days to finish the book.

A cyclist travels 18 miles in 1 hour and 30 minutes. What is their average speed in miles per hour?

Convert time: 1 hour and 30 minutes = 1.5 hours. Average speed = distance / time = 18 miles / 1.5 hours = 12 miles/hour.

If a bag contains 5 red marbles, 3 blue marbles, and 2 green marbles, what is the probability of picking a blue marble?

Total marbles = 5 + 3 + 2 = 10. Probability of blue = number of blue marbles / total marbles = 3 / 10.

A gym charges a $50 membership fee and $10 per class. If a member attends x classes, what is the total cost? What is the equation representing this situation?

Total cost = membership fee + cost per class = 50 + 10x. The equation is C = 50 + 10x.

A movie theater has a seating capacity of 200. If there are 120 tickets sold, what percentage of the seats are still available?

Available seats = 200 - 120 = 80. Percentage available = (80 / 200) * 100 = 40%.

A school has a total of 300 students. If 60% of them are girls, how many boys are there?

Number of girls = 60% of 300 = 0.6 * 300 = 180. Number of boys = 300 - 180 = 120.