Engineering Board Exam Reviewer · Mixture Problems · medium

A 12-kg mixture of nuts costing P190 per kg is made from peanuts at P120 per kg and cashews at P260 per kg. How many kilograms of cashews are in the mixture?

  1. 4 kg
  2. 8 kg
  3. 5 kg
  4. 6 kg

Answer

D. 6 kg

Solution

Let c be the kg of cashews: 120(12-c)+260c=190(12) 1440+140c=2280 c=6 kg.

More Mixture Problems questions

  1. A chemist has a 40% acid solution and a 70% acid solution. How many liters of the 70% solution must be added to 10 L of the 40% solution…
  2. How many liters of pure water must be added to 20 L of a 30% alcohol solution to make a 20% solution?
  3. 1000 kg of steel containing 12.5% nickel is to be made by mixing a steel containing 15% nickel with another steel containing 5% nickel…
  4. A 100 kg sugar solution is originally 4% by weight sugar. Sugar in water is boiled to reduce water content until the concentration is 5%…
  5. Three gallons of 20% salt solution is mixed with 6 gallons of 50% salt solution. Determine the percentage of salt solution in the new…
  6. A tank contains a mixture of acid and water. If 20 liters of acid are added, the mixture will be 70% acid. If 20 liters of water are added…
  7. For a particular experiment, you need 5 liters of 10% solution. You find 7% and 12% solution on the shelf. How much of the 7% solution…
  8. An alloy of silver and gold weighs 15 ounces in air and 14 ounces in water. Assuming that silver loses 1/10 of its weight in water and…
  9. A radiator holds 20 L of a 40% antifreeze solution. How many liters must be drained and replaced with pure antifreeze to obtain a 70%…

All Mixture Problems questions