Mariah spent $9.50 on 9 pounds of limes and pears. limes cost $0.50 per pound and pears cost $1.50 per pound. let l be the number of pounds of limes and let p be the number of pounds of pears. the system of linear equations that models this scenario is: l + p = 9 0.5l + 1.5p = 9.5 how many pounds of each type of fruit did she buy? she bought pounds of limes and pounds of pears.

Your vet has placed your pet on a diet. the diet is to contain at least 12 mg of fat and at least 14 mg of protein per serving. these requirements are to be obtained from two food sources. source a contains 2 mg of fat and 2 mg of protein per serving. source b contains 1 mg of fat and 3 mg of protein per serving. if source a sells for $1.28 per serving and source b sells for $1.12 per serving, how many servings of each type should be purchased to satisfy the requirements at minimal cost?