Questions on Word Problems: Mixtures answered by real tutors!

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Word Problems: Mixtures

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Question 188895: 1. two numbers wich differ by 3, have a product of 88. Find them.
2. The orduct of two consecutive odd numbers is 143. Form an algebraic equation and solve it to find the numbers.
3. One number exceeds another by 7. Their product is 60. Form an quation in algebra and solve it to find the number.
4. The square of the smallest of three consecutive positive integers exceeds the sum of teh other two numbers by 45. Solve algebraically to find the numbers.
Click here to see answer by jojo14344(1483)

Question 188966: A metallurgist needs to make 12.4 lb. of an alloy containing 50% gold. He is going to melt and combine one metal that is 60% gold with another metal that is 40% gold. How much of each should be used?
Click here to see answer by Mathtut(3670)

Question 189097: Okay here is the problem I need help with. It's not in a textbook but it is online.
A stamp collection consits of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps in the collection.
Click here to see answer by jonvaliente(64)

Question 189296: Emily mixed together 9 gal of Brand A fruit drink and 8 gal. of Brand B fruit drink which contains 48% fruit juice. Find the percent of fruit juice in brand A if the mixture contained 30% fruit juice?
Click here to see answer by vleith(1977)

Question 189274: Word problem:
A chainsaw runs on fuel that is 10% oil and 90% gas. Howmuch oil will have to be added to 3 gallons of fuel that is 5% oil and 95% gas in order to use the chainsaw?
Click here to see answer by ptaylor(1578)

Question 189295: 16 lb of brand M cinnamon was made by combining 12 lb of Indonesian cinnamon which costs $19/lb with 4 lb of Thai cinnamon which costs $11/lb. Find the cost per lb of the mixture?
Click here to see answer by checkley75(3666)

Question 189294: 5 fl. oz of a 2% alcohol solution was mixed with 11 fl oz. of a 66% alcohol solution. Find the concentration of the new mixture.
Click here to see answer by checkley75(3666)

Question 189311: How many liters of a 30% alcohol solution and how many of a 60% alcohol solution must be mixed to produce 18 liters of a 50% alcohol solution?
Click here to see answer by nerdybill(2446)

Question 189293: 9lbs of mixed nuts containing 55% peanuts were mixed with 6lbs of another kind of mixed nuts that contain 40% peanuts. What percent of the new mixture is peanuts?
Click here to see answer by checkley75(3666)

Question 189292: 2m^3 of soil containing 35% sand was mixed into 6m^3 of soil containing 15% sand . What is the sand content of the mixture?
Click here to see answer by checkley75(3666)

Question 189685: Nuts costing $9 per kg are to be mixed with nuts costing $6.5 per kg to make 10 kg of nuts costing $8 per kg. How many kg of nuts costing $9 per kg should be used?
Please help me!!
Click here to see answer by jim_thompson5910(13787)

Question 189729: Sandra drove for 148.2 miles and used 9.9 gallons of gas. Estimate the number of miles Sandra’s car gets per gallon.

Click here to see answer by jojo14344(1483)

Question 189945: How many ounces of pure gold must be added to five ounces of something that is 1 % gold in order that the mixture is 6% gold?
Click here to see answer by cutepiscean5(19)

Question 189947: I see similar questions, but not quite the same and am having problems:
How many ounces of a 30% gold solution must be mixed with 60 ounces of a 15% solution to obtain a solution that is 20% gold?
The teacher released the answer as 30oz. of the 10% solution....not sure how to get there
Click here to see answer by ptaylor(1578)

Question 190158: A radiator contains 15 gal of a 20% antifreeze solution. How many gallons must be drained from the radiator and replaced by pure antifreeze so that the radiator will contain 15 gal of a 40% antifreeze solution?
You can put solution on your website.
Thanks.
Click here to see answer by ankor@dixie-net.com(6693)

Question 190222This question is from textbook
: Pepperidge Farm Goldfish is a snack food for which 40% of its calories come from fat. Rold Gold Pretzels recieve 9% of their calories from fat. How many grams of each would be needed to make 620g of a snack mix for which 15% of the calories are from fat? This question is from textbook

Click here to see answer by nerdybill(2446)

Question 190223This question is from textbook
: Pepperidge Farm Goldfish is a snack food for which 40% of its calories come from fat. Rold Gold Pretzels recieve 9% of their calories from fat. How many grams of each would be needed to make 620g of a snack mix for which 15% of the calories are from fat? This question is from textbook

Click here to see answer by nerdybill(2446)

Question 190383: How many quarts of pure antifreeze should mr. Alberts add to 10 quarts of a 20% antifreeze solution to make a 50% solution?
Click here to see answer by jojo14344(1483)

Question 190502: How many pounds of hamburger that costs $1.60 per pound must be mixed with 70 pounds of hamburger that costs $2.10 per pound to make a mixture that costs $1.70 per pound.
Click here to see answer by jonvaliente(64)

Question 190409: An alloy of silver and gold is recast with an addition of silver. The first alloy is 80 oz, 10 oz. is gold. If the new alloy is to have only 1/5 oz of gold in every 5 oz. how much silver must be added?
I am really having trouble with this. Would you please help? Thanks so much.
Click here to see answer by ptaylor(1578)

Question 190406: This problem is from a computer-based textbook. An alloy of tin and copper is 16 percent tin. How much tin( to the nearest tenth) must be added to make an alloy that is 18 percent tin?
I'm really having trouble doing problems with 2 unknowns. I think I need to know how much copper there is, but I'm not sure how to do that. Please help. Thank you.
Click here to see answer by ptaylor(1578)

Question 190731: Adjusting Antifreeze: Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of a 40% antifreeze solution. How many quarts of each should she use?
Click here to see answer by nerdybill(2446)

Question 191262: Cheap Charlie is attempting to stretch his 2-liter bottle of antifreeze by diluting it with water (this is a very bad idea.). He read on carstuff.com that the antifreeze companies have made the antifreeze too strong, and all that your car really needs is a 25% antifreeze solution. How many liters of water must he add to the 2 liters of pure antifreeze to make this happen?
Click here to see answer by Mathtut(3670)

Question 192321: A chemist needs 16 liters of a 15% solution. She has two saline solutions with strengths 12% and 20%. Find the amount of 12% solution and the amount of 20% solutioin she should add to get 1 liters of a 15% solution.
Click here to see answer by checkley75(3666)

Question 192617: three Islands have a total area of 5117mi. Island A is 3243mi larger than B, and Island B is 178 mi larger than island C. What is the area of each island.
I am having trouble setting this up. If you could point me in the right direction I would be grateful.
Click here to see answer by yuendatlo(23)

Question 192957: ok here it is it is a mixture problem. the formula is V+AC value amount cost.
A clothing company buys 60 yards of cotton and 90 yards of wool fro a total cost of $1800. Another purchase at the same price included 80 yards of cotton and 20 yds of wook for a total cost of $1000. Find the cost per yard of the cotton and wool?
Click here to see answer by stanbon(26262)

Question 192973: two angles of a triange have the same measure and the third angle is 30 degrees greater than the other two. Find the measures of each angle.
Click here to see answer by edjones(3292)

Question 192831: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B at 100 miles per hour. Train A passes a station at 12:25 P.M. If train B passes the station at 12:37 P.M., at what time will train B catch up to train A?
When will Train B catch up to Train A ?
Click here to see answer by bhayzone(8)

Question 193138: A nut wholesaler sells a mix of peanuts and cashews. The wholesaler charges $2.80 per pound for peanuts and $5.30 per pound for cashews. The mix is to sell for $3.30 per pound. How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix?
An adult pass for a country fair costs $2 more than a children’s pass. When 378 adult and 214 children’s passes were sold, the total revenue was $2384. Find the cost of an adult pass
Click here to see answer by jonvaliente(64)

Question 193293: 1.How much water must be evaporated from 170 liters of a 75% solution of salt inoder to obtain an 85% brine solution.
2.There is 60 gallons of 50% solution of glycerin and water.How many gallons of water must be added to such solution inroder to reduve the glycerin concentration to 12%.
3.How many gallons of 40% salt solution and 80% salt should be mixed inorder to have 40 gallons of 50% salt solution?
4.How much water must be added to 100 liters of denatured alcohol 90% pure to dilute into 75% alcohol content.
THANK YOU~
Click here to see answer by ankor@dixie-net.com(6693)

Question 193463: Respected sir,
[1] 15 litres of a mixture contains 20% alcohol and the rest water.If 3 litres od water be mixed in it,the percentage of alcohol in the new mixture will be ?
[2] A merchant has 50kg of sugar ,part of which he sells at 8% profit and the rest at 18% profit.He gains 14% on the whole.The quantity sold at 18% profit is ?
[3] A mixture of 20kg of spirit and water contains 10% water.how much water must be added to this mixture to raise the percentage of water to 25% ?

Click here to see answer by radikrr(7)

Question 193525: One year ago Walt invested $12,000. He invested part of the money at 7% and the rest at 9%. He made a total of $970 in interest. How much was invested at 7%?
Click here to see answer by RAY100(1637)

Question 193629: A tank contains 20 gallons of a 30% antifreeze solution. How many gallons of an 80% antifreeze solution shoul be added to the tank in order to have the concentration of the antifreeze in the tank increase to 50%?
Click here to see answer by checkley77(7049)

Question 194226: a piece of bone from an organism is found to contain 10% of the carbon -14 is 5730 years then how long ago was the organism was alive?

please help me solve!!!!!
i really dont know how tio solve pleaseeeee help.....
Click here to see answer by scott8148(3382)

Question 194470: How many gallons of a %15 acid solution must be mixed with 5gal.of a %20 solution to make a %16 solution?
Click here to see answer by ankor@dixie-net.com(6693)

Question 195302: HOW MANY LITERS OF A 30% ALCHOHOL SOLUTION MUST BE MIXED WITH 40LITERS OF 90% SOLUTION TO GET A 50%SOLUTION?
Click here to see answer by ptaylor(1578)

Question 195320: In a chemistry class, 9 liters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?
Click here to see answer by josmiceli(3005)

Question 195681: how many ounces of pure water should be added to 30ounces of a 50% solution of muratic acid to obtain a 25% solution of muratic acid?
Click here to see answer by ankor@dixie-net.com(6693)

Question 195925: A cyclist traveled at a rate of 32 mph to vist a nearby town. The cyclist averaged 10 mph on the return trip. If the round trip took 6.3 hours, find the distance to the town.

Click here to see answer by nerdybill(2446)

Question 196090: Ten liters of a 4% acid solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?
Click here to see answer by josmiceli(3005)

Question 196272: A solution containing 30% insecticide is to be mixed with a solution of 50% insecticide to make a 200L solution containing 42% insecticide. How much of solutoin is used
Click here to see answer by solver91311(5072)

Question 196578: A number that describe numerical data is a ?
Click here to see answer by stanbon(26262)

Question 196552: Tom's Dad sowed some tomato seed in February. He gave Tom one of the tomato plants in a pot. At the beginning of May Tom put his tomato plant outside. On the same day he sowed a bean in another pot. Ten days later the bean plant was just 1 centimetre above the soil surface. Tom measured his tomato plant which was already 38 centimetres tall. Each evening Tom measured his two plants. On the evening of the next day the little bean plant had grown another 2 centimetres so it was 3 centimetres high. Each day it continued to grow double the amont it had grown the day before. The tomato plant grew at a steady 5 centimetres a day. After how many days were the two plants the same height when Tom measured them in the evening? How high were they?
Click here to see answer by ankor@dixie-net.com(6693)

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