Mixture and Investment Problems

Algebra 1 HonorsChapter 7Mixture and Investment ProblemsShow the set-up, equation, all work, and solution:Mixture and Investment Word Problems1. Frank invests $6000. Some of the money is invested in stocks paying 6% a year and some inbonds paying 11% a year. She receives a total of $580 each year from these investments. Howmuch money is invested in stocks and how much in bonds?2. Craig invested $4000 in bank certificates and bonds. The certificates pay 5.5% interest and thebonds pay 11% interest. His interest income is $352 this year. How much money was investedin bank certificates?3. Susan invested twice as much money in bonds paying 9% interest than in stocks paying 5%interest. If her interest was $138, how much did she invest in each?4. Jessie invested $2000 more in stocks than in bonds. The bonds paid 7.2% interest and stockspaid 6%. The income from each investment was the same. How much interest did she receivein all?1

Algebra 1 HonorsChapter 7Show the set-up, equation, all work, and solution:Mixture and Investment Word Problems1. An owner of a gourmet food store has two varieties of tea, one that costs $4.00 per kilogramand another that costs $5.00 per kilogram. How many kilograms of each type are needed tomake 20 kg of a blend worth $4.60 per kilogram?2. A chemist has 60 g of a solution that is 70% acid. How much water should be added to make asolution that is 40% acid?3. How many kilograms of water must be added to 10 kg of a 75% antifreeze solution in order toproduce a 50% solution?2

Algebra 1 HonorsChapter 7Mixture and Investment Word Problems4. A grocer has two kinds of nuts, one that costs $5 per kilogram and another that costs $5.40 perkilogram. How many of each type of nut should be mixed in order to have 40 kg of a mixturethat is worth $5.25 per kilogram?5. How many kilograms of pure alcohol must be added to 40 kg of a 70% alcohol solution toproduce an 85% alcohol solution?6. How many kilograms of water must be evaporated from 10 kg of an 8% salt solution toproduce a 25% salt solution?3

Algebra 1 HonorsChapter 7Show the set-up, equation, all work, and solution:Mixture and Investment Word Problems1. Forty-five tons of a compound that is 16% zinc is the result of mixing compounds that are 8%zinc and 20% zinc. How many tons of each were mixed?2. I used eight ounces less than twice as many of a 64% iron compound than I did of a 48% ironcompound. The result is a compound that is 58% iron. How many ounces of each did I use?3. How much water should be mixed with twelve quarts of a 55% rubbing alcohol solution tomake a mixture that is 78% water?4

Algebra 1 HonorsChapter 7Mixture and Investment Word Problems4. How much rubbing alcohol should be mixed with 18 ounces of a 25% nonalcoholic solution tomake a mixture that is 91% alcohol?5. How much of a 44% acid solution needs to be mixed with 65 ounces of an 80% acid solution toproduce a mixture that is 30% non-acid?6. Two compounds that are 90% and 55% copper were mixed. If 14 pounds of the mixture is80% copper, how many pounds of each were used?5

Algebra 1 HonorsChapter 7Mixture and Investment Word ProblemsShow the set-up, equation, all work, and solution:1. How many pounds of cashews worth $.75 must be mixed with ten pounds of pecans worth$1.50 a pound to make a mixture worth $1.00 per pound?2. How many cups of oil worth $.12 a cup must be mixed with 100 cups worth $.05 a cup toproduce a mixture that can be sold for $.07 a cup?3. I have an equal number of dimes and quarters, and 24 coins in all consisting of dimes, quarters,and pennies. How many of each type of coin do I have if I have $1.89 in all?6

Algebra 1 HonorsChapter 7Mixture and Investment Word Problems4. Jack invested $1300, some at 8% and the rest at 9%. How much did he invest at each rate if heearned $111?5. Betty invested $100 more than three times as much at 6% than she did at 5%. How much didshe invest at each rate if she earned $63.50?6. How much tea worth $1.80 a pound should be mixed with tea priced at $2.50 a pound toproduce ten pounds of a blend worth $2.15 a pound?7

Algebra 1 HonorsChapter 7Mixture and Investment Word Problems7. A nut shop sells almonds for $1.80 a pound, walnuts for $1.30 a pound, and peanuts for $.65 apound. The shopkeeper makes a mixture of 21 pounds of these nuts to sell for $1.00 a pound.He puts in twice as many walnuts as almonds and twice as many peanuts as walnuts. Howmany pounds of each kind does he use?8