Questions on Word Problems: Mixtures answered by real tutors!

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Question 154721: How many pounds of extra-lean-hamburger that is 7% fat must be mixed with 30 pounds of hamburger that is 15% fat to obtain a mixture that is 10% fat?
Click here to see answer by checkley77(12569)

Question 154720: A nurse has 1 liter of a solution that is 20% alcohol. How much pure alcohol must she add to bring the solution up to a 25% concentration?
Click here to see answer by Alan3354(30965)

Question 154717: 44. A new automobile engine can run on a mixture of gasoline and a substitue fuel. If gas costs $1.50 per gallon and the substitue fuel costs 40 cents per gallon, what percent of a mixture must be substitue fuel to bring the cost down to $1 per gallon?
Click here to see answer by ankor@dixie-net.com(15624)

Question 154811: Suppose a company offers you a sales position with your choice of two method of determining your yearly salary.One method pays $12600 plus a bonus 2% of your sales .The other method pays a straight 8% commission on your sales .For what yearly sales amount is it better to choose the fist method?
Click here to see answer by jojo14344(1512)

Question 155010: A hospital needs to dilute a 60% boric acid solution to a 10% solution. If it needs 40 liters of the 10% solution, how much of the 40% solution and how much water should it use? For some reason i always come up with a negative 24 and that isn't right.
Click here to see answer by ptaylor(2048)

Question 155012: A store manager wishes to reduce the price on his fresh ground coffee by mixing 2 grades. If he has 50 pounds of coffee which sells for $5 per pound, how much coffee worth $3 per pound must he mix with it so that he can sell the final mixture for $4.25 per pound?
Click here to see answer by checkley77(12569)

Question 155003: rubbing alcohol is typically diluted with water to 70% strength. if you need 3.5 ounces of 45% rubbing alcohol, how many ounces of 70% rubbing alcohol and how much water should you combine?
Click here to see answer by ptaylor(2048)

Question 155307: In 2004 there were 6675 hybrid vehicles in use. In 2007, there were 7166 hybrid vehicles in use. Find the equation describing the relationship between time and number of hybrid vehicles. Make sure you use ordered pairs of the form (years past 1998, number of vehicles)
Y=
Click here to see answer by stanbon(57223)

Question 155357: A certain metal is 20% tin. How many kilograms of this metal must be mixed with 80 kg of a metal that is 70% tin to get a mental that is 50% tin?
Click here to see answer by ptaylor(2048)

Question 155488: Soybean meal is 16% protein, cornmeal is 8% protein. How many pounds of each should be mixed togeather in order to get a 320 lb mixture that is 14% protein?
Soybean=
Coenmeal=
Click here to see answer by ptaylor(2048)

Question 155581: How many gallons of a 60% antifreeze solution must be mixed with 100 gallons of 15% antifreeze to get a mixture that is 50% antifreeze?
Click here to see answer by stanbon(57223)

Question 155666: How many liters of a 10% alcohol solution must be mixed with 70 liters of a 90% solution to get a 30% solution?
Thanks in advance for your help!
Click here to see answer by jojo14344(1512)

Question 155642: 1. in order to increase the concentration of 25g of 5% salt solution in water to 15% salt, how much salt will be added?
2. an auto mechanic added 25ml of water to 125ml of a 20% solution of antifreeze in water. what is the concentration of antifreeze in the new solution?
3. jorge added 15g of ground costa rican coffee to 210g of a ground mixture that contains 5% costa rican coffee. what is the percent of costa rican coffee in his new solution?
thanks for helping.. God bless..
Click here to see answer by ankor@dixie-net.com(15624)

Question 155681: A few years ago ,cement drivers were on stike for 46 days.Before the strike,these drivers earned $7.50 per hour and worked 260 eight -hour days a year.What percentage increase is needed in yearly income to make up for the lost time within 1 year
Click here to see answer by stanbon(57223)

Question 155801: Tickets for a school play sold for $7.50 for each adult ticket and $3.00 each per childs ticket. The receipts for 113 tickets were$663. Find the number of adult tickets sold.
Click here to see answer by stanbon(57223)

Question 155816: How many pounds of an alloy containing 32% silver must be melted with 25 pounds of an alloy containing 48% silver to obtain and alloy containing 42% silver?
Click here to see answer by ptaylor(2048)

Question 155814: A candy store owner wishes to mix 30 pounds of candy worth $6.00 per pound with nuts worth $3.00 per pound to get a mixture worth $5.00 per pound. How many pounds of nuts must he have?
Click here to see answer by ptaylor(2048)

Question 155744: Determine how much water is required to dilute 15 liters of a solution that is 12 %dye so that a 5% dye solution is obtained?
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Question 155910: Ann has a 32 ounce bowl of M&M's on her cofee table. The candies are 50% blue M&M's. She eats some of the M&M's (which are 50% blue), then fills the bowl back to 32 ounces with a package of M&M's that contains 20% blue ones. If the resulting full bowl (32 ounces) contains 40% blue M&M's, how many ounces did she eat?
So far, I know that the original bowl had 16 ounces of blue M&M's (32 oz x 50% = 16 oz). The bag she used to refill with had 6.4 oz (32 oz x 20% = 6.4 oz). The final result was 12.8 ounces of blue M&M's (32 oz x 40% = 12.8) I dont know if that info is relevant to the problem or if I am looking at it all wrong.
Click here to see answer by stanbon(57223)

Question 155935: If each side of a square is increased by 5 meters, the area becomes 121 square meters. Find the length of a side of the original square.
Click here to see answer by jojo14344(1512)

Question 156040: A chemist wants 50 ml of a 16% acid solution by mixing a 13% acid solution and an 18% acid solution. How many milliliters of each solution the chemist use?
Click here to see answer by stanbon(57223)

Question 156388: How many gallons of gasoline that is 12 % ethanol must be added to 2000 gallons of gasoline that has no ethanol to obtain a mixture that is 10 % ethanol?
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Question 156345: The price-earning ratio (p/E)of a company is the ratio of the market value of one share of company's outstanding common stock to the earning per share.If P/E increse by 20%,determine the percentage increse inthe market value per share of common stock

Click here to see answer by gonzo(654)

Question 156344: To produce 1 unit of a new product a company determines that the cost for material is $2.50 and the cost of labour is $4.The constant overhead ,regardest of sales volumes,is $500.If the cost to a whole saler is $7.40 per unit ,determine the least number of units that must be sold by the company to realize a profit

Click here to see answer by gonzo(654)

Question 156556: Leona set up a fruit stand to sell some of her crop of oranges. The first person who cam by bought 1/3 of her oranges. The second person bought 4. The third person then bought 1/4 of remaining oranges. Leona took the last 15 oranges home and made orange juice. Ho many oranges did leona have when she set up the fruit stand?
Click here to see answer by nerdybill(6948)

Question 156664: A Radiator has 10L of 30% Fluid (30% Anti Freeze and 70% Water). How many liters need to be replaced to have a 50% solution?
Click here to see answer by gonzo(654)

Question 156684: Thanks for any insight you may be able to give me...
This question is from a quiz my instructor gave to us. He says the questions come from a textbook.
How many liters of a 70% acid solution are needed to be mixed with 18 liters of a 10% acid solution to get a mixture which is 25% alcohol?
If the solution contains acid/alcohol you would need 75% acid to leave you with 25% alcohol. How is it even possible to get 75% when both solutions you are using are diluted below 75%. As far as I have tried I see no possible solution to this problem, if he meant 25% acid then it would be easy to answer.
Let me know what you think, thanks for your time,
Bill W
Click here to see answer by mangopeeler07(462)

Question 156810: A chemist has two acid solutions.One contains 15 percent acid and the other contains 6 percent acid. How many cubic meters of each solution should be used to obtain 400 cm^3 of a solution that is 9 percent acid?
I need this now...please and thank you
Click here to see answer by scott8148(6628)

Question 156804: A chemist has two acid solutions.One contains 15 percent acid and the other contains 6 percent acid. How many cubic meters of each solution should be used to obtain 400 cm^3 of a solution that is 9 percent acid?
Click here to see answer by scott8148(6628)

Question 156835: find the ratio of Rs5 to Rs45
Click here to see answer by nerdybill(6948)

Question 156986: please help me solve this problem:
Sarah sells a fruit juice that she makes by mixing together fruit juice concentrate and water. She wants her mixture to contain 30 liters of 15% strength juice. How much of the fruit juice concentrate will she need if the concentrate contains 90% juice?
Click here to see answer by nerdybill(6948)

Question 157027: I need help working this problem.
1.. You are offered two different jobs selling dental supplies. One company offers a straight commission of 6% on sales. The other company offers a salary of $250 per week plus 3% of sales. How much would you have to sell in a week in order to make the straight commission offer better?

This is not from a text book.
Click here to see answer by jojo14344(1512)

Question 157028: I need help working this problem.
1. A student assistant at a university copy center has some nickels and dimes to use for change when students make copies. The value of the coins is $7.40. There are 26 more dimes than nickels. How many of each kind of coin are there?

This is not from a text book.
Click here to see answer by nerdybill(6948)

Question 157023: I need help working this problem.
1. Irene is a barn manager at a horse stable. She needs to calculate the correct mix of grain and hay to feed her horse. On the basis of her horse’s age, weight, and workload, she determines that he needs to eat 15 lb of feed per day, with an average protein content of 8%. Hay contains 6% protein, whereas grain has a 12% content. How many pounds of hay and grain should she feed her horse each day?

Click here to see answer by ankor@dixie-net.com(15624)

Question 157026: I need help working this problem.
1.A student assistant at a university copy center has some nickels and dimes to use for change when students make copies. The value of the coins is $7.40. There are 26 more dimes than nickels. How many of each kind of coin are there?

This is not from a text book.
Click here to see answer by checkley77(12569)

Question 157025: I need help working this problem.
1. In the final game of the 2000 basketball season, the Los Angeles Lakers scored 96 of their points on a combination of 43 two- and three-point baskets. How many of each type of shot were made?
This is not from a text book.
Click here to see answer by checkley77(12569)

Question 157021: I need help working this problem.
1. A combined total of $20,000 is invested in two bonds that pay 8% and 9.5% simple interest. The annual interest is $1675. How much is invested in each bond?

Click here to see answer by checkley77(12569)

Question 157217: How much water should be added to 6 gallons of pure acid to obtain a 30% solution?
Click here to see answer by nerdybill(6948)

Question 157252: A car mechanic needs to mix together two solutions of anti-freeze. One solution is 100% pure anti-freeze and the other solution is 30% anti-freeze. The mechanic would like to have 2.5 gallons of a mixture that is 44% anti-freeze. How many gallons of each solution will the car mechanic need?
Click here to see answer by checkley77(12569)

Question 157305: How many liters of a 70% acid solution are needed to be mixed with 18 liters of a 10% acid solution to get a mixture which is 25% alcohol?
Click here to see answer by checkley77(12569)

Question 157307: One pipe can fill a tank in 6 hours, and another pipe can fill the same tank in 8 hours. How long will it take to fill the tank if both pipes are used?
Click here to see answer by josmiceli(9650)

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