Systems of Equations Mixture Problems

An owner of a gourmet food store has two varieties of herbal tea, one that costs $4.00 per kilogram and another that costs $5.00 per kilogram.  How many kg of each type are needed to make 20 kg of a blend worth $4.60 per kg?

• 12 kg @ $5;  8 kg @ $4
• 14 kg @ $5; 6 kg @ $4

A grocer has two kinds of nuts, one that costs $5 per kg and another that costs $5.40 per kg.  How many kilograms of each type of nut should be mixed in order to have 40 kg of a mixture worth $5.25 per kilogram?

• 25 kg @ $5.40; 15 kg @ $5.00
• 10 kg @ $5.40;  30 kg @ $5.00

Mike has coffee worth $4 per pound that he wishes to mix with 20 pounds of coffee worth $7 per pound to get a mixture that can be sold for $5 per pound. How many pounds of the cheaper coffee should he use?

• 20lbs
• 40lbs
• 30lbs
• 60lbs

Martha has some nickels and dimes worth $6.25. She has three times as many nickels as dimes. How many nickels does she have?

• 25 nickels
• 75 nickels
• 27 nickels
• 70 nickes

A butcher mixes 12 lb. of ground pork at $1.25 per pound with 24 lb. of ground beed at $2 per pound to sell as a meat loaf mix. What should be the price per pound of the mixture?

• $1.68 per pound
• $1.63 per pound
• $0.57 per pound
• $1.75 per pound

Ten pounds of mixed nuts sells for $6.87 per pound. The mixture is obtained from two kinds of nuts, peanuts priced at $5.70 per pound and cashews at $8.70 per pound. How many pounds of each variety of nut are used in the mixture?

• 37, 13

• 3.9, 6.1

• 14, 6

• 25,15