Mixture Problems in Linear Systems

An owner of a gourmet food store has two varieties of herbal tea, one that costs $40 per kilogram and another that costs $50 per kilogram. How many kg of each type are needed to make 20 kg of a blend worth $46 per kg?

• 12 kg @ $50/kg + 8 kg @ $40/kg

• 14 kg @ $50/kg + 6 kg @ $40/kg

A shop sells two kinds of nuts, one that costs $500 per kg and another that costs $540 per kg. How many kilograms of each type of nut should be mixed in order to have 40 kg of a mixture worth $525 per kilogram?

• 25 kg @ $540/kg + 15 kg @ $500/kg

• 10 kg @ $540/kg + 30 kg @ $500/kg

Mr James has coffee worth $400/kg that he wishes to mix with 20kg of coffee worth $700/kg to get a mixture that can be sold for $500/kg. How many kg of the cheaper coffee beans should he use?

• 20kg

• 40kg

• 30kg

• 60kg

Marsha has many nickels and dimes worth 625¢ all together. She has three times as many nickels as dimes. How many nickels does she have?

• 25 nickels

• 75 nickels

• 27 nickels

• 70 nickels

A restaurant uses 1.2 kg of tuna at $125/kg and 2.4 kg of salmon at $200/kg to make combo sushi rolls. What should the price per kg be of the combo rolls?

• $168/kg

• $163/kg

• $57/kg

• $175/kg

A market is selling 10kg of mixed fruit sets for $68.70/kg. The sets are made from two kinds of fruit: watermelon priced at $57/kg and guava at $87/kg. How many kg of each fruit are needed to make the sets?

• 37, 13

• 3.9, 6.1

• 14, 6

• 25,15

Find the amounts of 20% salt solution and 8% salt solution that should be mixed together to make 500 ml of 15% salt solution.

• 291.67 ml of 20% salt solution,
  208.33 ml of 8% salt solution

• 280 ml of 20% salt solution,
  220 ml of 8% salt solution

• 208.33 ml of 20% salt solution,
  291.67 ml of 8% salt solution

• 220 ml of 20% salt solution,
  280 ml of 8% salt solution

• A

• B

• C

• D

• A

• B

• C

• D

3 gallons of a 20% sugar solution is mixed with 5 gallons of a 50% sugar solution. What is the concentration of the mixture?

• 30%

• 40%

• 41.875%

• 38.75%