Mixture problems

1. Mixture problems BALANCE

2. You need a 15% acid solution for a certain test, but your supplier only ships a 10% solution and a 30% solution. Rather than pay the hefty surcharge to have the supplier make a 15% solution, you decide to mix 10% solution with 30%solution, to make your own 15% solution. You need 10 liters of the 15% acid solution. How many liters of 10% solution and 30% solution should you use?

3. You need a 15% acid solution for a certain test, but your supplier only ships a 10% solution and a 30% solution. Rather than pay the hefty surcharge to have the supplier make a 15% solution, you decide to mix 10% solution with 30% solution, to make your own 15% solution. You need 10 liters of the 15% acid solution. How many liters of 10% solution and 30% solution should you use? • Same problem, different way: This graphic also organizes the information, but goes one step further and takes care of some of the arithmetic too. 1 mix 2 15-10 = 5 30-15= 15 10 15 30 C x 10-x A 10 L 10-x 10-7.5 2.5 Of the 30% solution 5x = 15(10-x) 5x = 150 – 15x +15x +15x 20x = 150 20 20 x = 7.5 L Of the 10% solution

4. How many pounds of chocolate worth $1.20 a pound must be mixed with 10 pounds of chocolate worth 90 cents a pound to produce a mixture worth $1.00 a pound? 1 mix 2 $1.20-1.00= .20 $1.00-.90= .10 $1.20 $1.00 $0.90 C x 10 A 10 + x .20x = .10 • 10 .20x = 1 .20 .20 x = 5 Of the $1.20 chocolate