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 Word Problems: Mixtures Solvers Lessons Answers archive Quiz In Depth

 Question 256876: The number of people infected after t days is P=200+5t-t^2. Find the number of days until the number of people infected is 176. Help! What are the steps to solve this equation? Click here to see answer by drk(1908)

 Question 256787: A chemist has a solution consisting of 5 ounces of propanol and 17 ounces of water. She would like to change the solution into a 40% propanol solution by adding z ounces of propanol. How many ounces of propanol should she add? Click here to see answer by Fombitz(13828)

 Question 256954: A class of 40 students is to be divided into smaller groups. If each group is to contain 3,4,or 5 people, what is the largest number of groups possible? Explain your answer. Click here to see answer by drk(1908)

 Question 257068: Hi i had 2 questions. My first question is this. How many gallons of pure alcohol should be mixed with 20 gal of a 15% alcohol solution to obtain a mixture that is 25% alcohol? I have done this problem several times and i get as far as .15x + 3 = .25x + 5 but i keep getting a negative answer. Could you please show me how to solve this correctly. My other question is this Marin Caswell needs 10% hydrocholoric acid for a chemistry experiment. How much 5% acid should mix with 60 mL of 20% acid to get a 10% solution? I really want to know how to solve these and set them up so i can do them on the test. Thank you Click here to see answer by ankor@dixie-net.com(15645)

 Question 257198: Amy paid \$72.05 for a pair of running shoes during a 40% - off sale. What was the regular price? Click here to see answer by nerdybill(6951)

 Question 257350: I have to add 15ml of fertilizer to 50 litres of water, how much fertilizer is that per litre. Thank you. Click here to see answer by richwmiller(9135)
 Question 257350: I have to add 15ml of fertilizer to 50 litres of water, how much fertilizer is that per litre. Thank you. Click here to see answer by Alan3354(30993)

 Question 257349: If f(x) varies inversely as x, prove that f(x2) = f(x1)(x1/x2). Use this formula to solve the following direct variation without solving for the constant of variation. The volume of a gas varies inversely as the pressure (assuming the temperature remains constant.) An experiment shows that a particular gas has a volume of 2.4 liters under a pressure of 280 grams per square centimeter. What volume will the gas have when a pressure of 330 grams per square centimeter is applied? Click here to see answer by drk(1908)

 Question 257572: a mixture of chlorine and water contains a total of 91 gallons of liquid. there are 80 gallons chlorine in the mixture. what percent of the mixture is water? Click here to see answer by richwmiller(9135)
 Question 257572: a mixture of chlorine and water contains a total of 91 gallons of liquid. there are 80 gallons chlorine in the mixture. what percent of the mixture is water? Click here to see answer by dabanfield(803)

 Question 257585: The solution in a 7 liter radiator system is 35% antifreeze. How much of the solution must be drained and replaced by a 95% antifreeze solution to obtain a 50% antifreeze solution? Click here to see answer by dabanfield(803)
 Question 257585: The solution in a 7 liter radiator system is 35% antifreeze. How much of the solution must be drained and replaced by a 95% antifreeze solution to obtain a 50% antifreeze solution? Click here to see answer by stanbon(57278)

 Question 257791: Sally wants to know how much water to add to a 40 ml of 70% acid to make a concentration of 50% acid. Click here to see answer by checkley77(12569)
 Question 257791: Sally wants to know how much water to add to a 40 ml of 70% acid to make a concentration of 50% acid. Click here to see answer by stanbon(57278)

 Question 257812: A mixture of acid and water is 35% acid. if the mixture contains a total of 40 Liters, how many liters of pure acid are in the mixture? How many liters of pure water are in the mixture? Click here to see answer by drk(1908)

 Question 257826: Tracy can wallpaper 2 rooms in a new house in 10 hours. Together with her trainee they can wallpaper the 2 rooms in 7 hours. How long would it take the trainee working by herself to do the job? Click here to see answer by richwmiller(9135)

 Question 257825: Five friends drove at an average rate of 50 miles per hour to a weekend retreat. On the way home, they took the same route but averaged 65 miles per hour. What was the distance between home and the retreat if the round trip took 10 hours? Click here to see answer by richwmiller(9135)

 Question 257827: Two trains leave a train station at the same time. One travels east at 11 miles per hour. The other train travels west at 7 miles per hour. In how many hours will the two trains be 118.8 miles apart? Click here to see answer by rfer(12654)

 Question 257828: The manager of a candy shop sells chocolate covered peanuts for \$6 per pound and chocolate covered cashews for \$9 per pound. The manager wishes to mix 60 pounds of the cashews to get a mixture that will sell for \$8 per pound. How many pounds of peanuts should be used? Click here to see answer by ankor@dixie-net.com(15645)

 Question 258312: How many different ways can you put 6 books in a row so that one specific book is always in the 4th position? Click here to see answer by edjones(7569)

 Question 258746: What two numbers added together equals negative 10, but when the same two numbers are multiplied together equals negative 20? Click here to see answer by Edwin McCravy(8889)

 Question 258787: How many liters of a 50% acid solution must be mixed with a 25% acid solution to get 225 liters of a 40% acid solution? Click here to see answer by richwmiller(9135)

 Question 258810: A photographer is mixing 5% acetic acid solution with a 10% acetic acid solution to get 2 liters of a 7% solution. How many liters of each solution should he add? Click here to see answer by CharlesG2(828)
 Question 258810: A photographer is mixing 5% acetic acid solution with a 10% acetic acid solution to get 2 liters of a 7% solution. How many liters of each solution should he add? Click here to see answer by Fombitz(13828)

 Question 258678: How many liters of water containing 3 grams of salt per liter must be combined with 4 liters of water which contains y grams (y is less than 2) of salt per liter to yield a solution with 2 grams of salt per liter. Click here to see answer by Fombitz(13828)

 Question 258985: HElP! I cant figure this out. what equation do i use? Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together? Click here to see answer by ankor@dixie-net.com(15645)

 Question 259172: How many grams of 14k gold can be produced from 9 grams of 24k gold? Click here to see answer by richwmiller(9135)

 Question 259238: If you want to mix 50lb of nuts worth \$2.00 per lb with some nuts worth \$6.00 per lb to make a mixture worth \$5.00 per lb. How many pounds of \$6.00 nuts must you use? That is the question. How do I turn this into an equation or whatever I need to do? Click here to see answer by ankor@dixie-net.com(15645)

 Question 259558: ten fluid ounces of a fruit drink is 90% juice. how many fluid ounces of water must be added to dilute the mixture to 50% juice? Click here to see answer by drk(1908)

 Question 259556: A doctor prescribes an ointment that is 2% hydrocortisone. A pharmacist has 1% and 5% concentrations in stock. How much of each should the pharmacist use to make a 1-ounce tube? Click here to see answer by Fombitz(13828)
 Question 259556: A doctor prescribes an ointment that is 2% hydrocortisone. A pharmacist has 1% and 5% concentrations in stock. How much of each should the pharmacist use to make a 1-ounce tube? Click here to see answer by richwmiller(9135)

 Question 259795: Is it possible to mix a 30% antifreeze solution with a 50% antifreeze solution and obtain a 70% antifreeze solution? Why or why not? I've tried making a table with the %s, but I can't understand it. Click here to see answer by richwmiller(9135)
 Question 259795: Is it possible to mix a 30% antifreeze solution with a 50% antifreeze solution and obtain a 70% antifreeze solution? Why or why not? I've tried making a table with the %s, but I can't understand it. Click here to see answer by Fombitz(13828)

 Question 259850: The directions on a bag of cement are to mix 1 part cement, 2 parts sand, and 3 part gravel. If you have 14 pounds of sand, how many pounds of cement and how many pounds of gravel should be mixed with this sand? Click here to see answer by richwmiller(9135)
 Question 259850: The directions on a bag of cement are to mix 1 part cement, 2 parts sand, and 3 part gravel. If you have 14 pounds of sand, how many pounds of cement and how many pounds of gravel should be mixed with this sand? Click here to see answer by ptaylor(2048)

 Question 260146: While traveling, you meet a man with a task for you: " Take a certain amount of diamonds out of this bag of 500. This number, when divided by any natural number 2 through 7, always generates a whole number if you take away 1 diamond before dividing. Bring me this number and they are all yours" You reach in... and pull out a number of diamonds, but doesnt produce a whole number when you take away one diamond then divide by 4. This number meets the other conditions from the problem. 2pt: How many diamonds do you have to pull to get all the diamonds 2pt: How many diamonds did you pull out? Click here to see answer by jim_thompson5910(28536)
 Question 260146: While traveling, you meet a man with a task for you: " Take a certain amount of diamonds out of this bag of 500. This number, when divided by any natural number 2 through 7, always generates a whole number if you take away 1 diamond before dividing. Bring me this number and they are all yours" You reach in... and pull out a number of diamonds, but doesnt produce a whole number when you take away one diamond then divide by 4. This number meets the other conditions from the problem. 2pt: How many diamonds do you have to pull to get all the diamonds 2pt: How many diamonds did you pull out? Click here to see answer by richwmiller(9135)

 Question 260176: A jeweler has five rings, each weighing 18g, made of an alloy of 10 percent silver and 90 percent gold. She decides to melt down the rings and add enough silver to reduce the gold content to 75 percent. How much silver should she add? Click here to see answer by richwmiller(9135)

 Question 260227: 300 gms of sugar solution contains 40% sugar. How much sugar should be added to make it 50% sugar solution? Click here to see answer by richwmiller(9135)

 Question 260242: Alcohol solutions. Gus has on hand a 5% alcohol solution and a 20% alcohol solution. He needs 30 liters of a 10% alcohol solution. How many liters of each solution should he mix together to obtain the 30 liters? Click here to see answer by richwmiller(9135)

 Question 260241: Going for a C. Professor Williams gives only a midterm exam and a final exam. The semester average is computed by taking 1/3 of the midterm exam score plus  2/3 of the final exam score. To get a C, Stacy must have a semester average between 70 and 79 inclusive. If Stacy scored only 48 on the midterm, then for what range of scores on the final exam will Stacy get a C? I can not come up with the correct formula 70 < ? < 79 Click here to see answer by drk(1908)

 Question 260319: At Jim's Cafe, 1/5 of the customers ordered tea. Six more than 2/5 of the customers ordered coffee, and 20 customers ordered soa. Click here to see answer by drk(1908)

 Question 260326: Ten more than half the babies born at Mountainside Hospital last week were girls. There we 16 boys born. How many babies were born at the Hospital last week. Click here to see answer by drk(1908)

 Question 260335: There are.... 1/4 airliners 1/2 fighters 10 gliders 20 bombers How many fighter planes are there Click here to see answer by drk(1908)

 Question 260337: There are four times as many trumpets as flute players in the orchestra. If there are 70 trumpet and flute players, how many flutes players are there Click here to see answer by rfer(12654)

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