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Published byNorma Francis Modified over 9 years ago
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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?
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Mixture/Investment Problems Objectives: Write equations for mixture problems Solve the equations for valid solutions
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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?
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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?
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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?
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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
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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
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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 2 1. 8kg of $4.00 12kg of $5.00 2. 4.5g of water should be added 3. 5g of water should be added
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