Warm-up (get out a calculator)  If I have a 10mL solution that is 45% acid. How much acid is in the solution?  How much money did I invest in stocks.

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Presentation transcript:

Warm-up (get out a calculator)  If I have a 10mL solution that is 45% acid. How much acid is in the solution?  How much money did I invest in stocks that yielded a return of 5% if I earned $125?  What is a CD (certificate of deposit)?  What is a bond?  What is a stock?

Mixture/Investment Problems Objectives:  Write equations for mixture problems  Solve the equations for valid solutions

Remember Back….  If the sum of two numbers is 25 and one is x what is the other number in terms of x?  If a mixture is formed by combining x mL of acid with 300mL of water what is the total amount of mixture?

Problem 1  Note: %Interest x Principle = Income  A securities broker advised a client to invest a total of $21,000 split between bonds paying 12% and certificates of deposits paying 5.25%. The annual income from the investments is $2250. How much was invested in each type of investment?

Problem 2  A grocer makes a natural cereal by mixing oat cereal costing $2 per kilogram with dries fruits costing $9 per kilogram. How many kilograms of each are needed to make 60kg of cereal costing $3.75 per kilogram?

Problem 3  How many liters of a 6% acid solution must be added to 20 L of a 24% acid solution to make a solution that is 8% acid? 20L of 24% x liters of 6% Mixture of 8% acid

Problem 4  How much water must be added to a 80% salt solution in order to make 10 ounces of 55% salt.  HINT: make sure all percents are in the same units

Answers Page 1 & 2 Page 1  $1600 stocks, $4400 bonds  $1600 cd’s, $2400 bonds  $1200 bonds, $600 stocks  $10,000 bonds, $12,000 stocks Page kg of $ kg of $ g of water should be added 3. 5g of water should be added

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