Lesson: System of Linear Inequalities Word Problems

Anthony and Daniel went on a tour driving to Luxor and Aswan and took turns driving; each day Anthony drove for at least 4 hours and NO more than 8 hours, while Daniel drove at least 2 hours and less than 7 hours. The total time they drove daily was NO more than 9 hours. State the system of inequalities that describes the situation, using to represent the number of hours that Anthony drove and to represent the number of hours that Daniel drove.

A carpenter wants to buy two types of nails; the first type costs 6 pounds per kilogram, and the second type costs 9 pounds per kilogram. He needs at least 5 kg of the first type and at least 7 kg of the second. He can spend less than 55 pounds. Using to represent the amount of the first type and to represent the second type, state the system of inequalities that represents this situation.

During a trip to the zoo you decide to buy peanuts and berries. A pack of peanuts costs and a pack of berries costs . Given that you want to spend not more than pounds, write an inequality describing how many packs of each you could buy.