Questions on Word Problems: Mixtures answered by real tutors!

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Question 1071308: 8 gal. of a saline solution was mixed with
2 gal. of pure water to make a 16% saline
solution. Find the percent concentration
of the first solution.

Click here to see answer by josgarithmetic(39618) About Me 
Question 1071308: 8 gal. of a saline solution was mixed with
2 gal. of pure water to make a 16% saline
solution. Find the percent concentration
of the first solution.

Click here to see answer by josmiceli(19441) About Me 

Question 1071315: For his birthday party DeShawn mixed
together 4 gal. of Brand A fruit punch and
8 gal. of grape juice. If Brand A contains
10% fruit juice, then what percent of the
final mixture is fruit juice?

Click here to see answer by Boreal(15235) About Me 

Question 1071317: Norachai made a nut mixture that contains
38% peanuts by mixing together 17 kg of
mixed nuts that contain 30% peanuts and
8 kg of a different brand of mixed nuts.
The second brand of mixed nuts contained
what percent peanuts?

Click here to see answer by josgarithmetic(39618) About Me 

Question 1071316: Jacob mixed together 4 gal. of Brand A
fruit drink and 2 gal. of apple juice. Find
the percent of fruit juice in Brand A if the
mixture contained 50% fruit juice.

Click here to see answer by josgarithmetic(39618) About Me 

Question 1071449: The Royal Fruit company produces two types of fruit drinks. The first type is 70% pure fruit Juice, and the second type is 95% pure fruit The company is attempting to produce a fruit drink that contains 80% pure fruit juice. How many pints of each of the two existing used to make 50 pints of a types of drink must be mixture that is 80% pure fruit juice?
Click here to see answer by josgarithmetic(39618) About Me 

Question 1071532: I need helping solve this mixture problem. Its about a sports drink. here are the two equations:
x + y = 9
.25x + .75y = .54(9)
and everytime I try this equation I get it wrong. I've tried it about 6 times already.

Click here to see answer by math_helper(2461) About Me 

Question 1071161: The expression 1+2n (n+2) describes a pattern of numbers l, where n represents a numbers position in the sequence. Write the first four terms of the sequence.

Click here to see answer by Fombitz(32388) About Me 

Question 1071801: One packet of wholegrain chips costs $3.25.
How much is that in dollars per 100 grams (g), to the nearest cent?
(The stimuli is a picture of the back of a packet of wholegrain chips that is 175g.)
I am not sure how to work this one out and need help with the process and also the answer if possible.
Thankyou very much.

Click here to see answer by josgarithmetic(39618) About Me 

Question 1071798: Two cyclists start from the same point and ride in opposite directions. One cyclist rides twice as fast as the other. In 3 h, they are 108 mi apart. Find the rate of each cyclist
Click here to see answer by ptaylor(2198) About Me 

Question 1071848: Can you please help solve this?
Paula, Dianna and Annie are three friends. Paula is twice as old as Dianna, and in 2 years she will be three times as old as Annie. If Dianna is 5 years older than Annie, how old is Paula?
Thanks in advance

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Question 1071848: Can you please help solve this?
Paula, Dianna and Annie are three friends. Paula is twice as old as Dianna, and in 2 years she will be three times as old as Annie. If Dianna is 5 years older than Annie, how old is Paula?
Thanks in advance

Click here to see answer by addingup(3677) About Me 

Question 1071996: Please any help will be grateful with this problem .
A 400 gallon tank is filled with pure water . A salt solution with a concentration of 14g/gal flows into the tank at a rate 6gal/min . The thoroughly mixed solution is drained from the tank at a rate 6gal/min .
A)Write an initial value problem for the mass of the salt .
B)Solve the initial value problem .


This is how i started it . I might be wrong . Please feel free to correct anything i did .
dy/dt = (rate in )-(rate out)
rate in =(14g/gal)(6gal/min)=84g/min
rate out =(y(t)g/400gal)(6gal/min)=3y(t)/400(g/min)
dy/dt=84-3y(t)/200 . Then i don't know how to finish it .

Thank you .

Click here to see answer by Fombitz(32388) About Me 

Question 1072004: Please help me solve this problem .
A 2000-L tank is initially filled with a copper sulfate solution with a concentration of 60g/L . A copper sulfate solution with a concentration of 20g/L flows into the tank at rate of 8L/min . The thoroughly mixed solution is drained from the tank at rate 8L/min .
A)write an initial value problem for the mass of the copper sulfate .
B)Solve the initial value problem . Set up .

This is how i solved it but i might be 90% wrong .Please feel free to correct anything i did wrong .
Let y(t) be the amount of sulfate .
y(0)=60
dy/dt=(rate in)-(rate out)
rate in =(20g/L)(8L/min)=160g/min
rate out =y(t)g/2000L)(8L/min)=y(t)g/250min
dy/dt=160-(y(t)/250)
dy/dt=(40000-y(t))/250
taking integral both side
int(dy/40000-y)=int(dt/250)
-ln(40000-y)=t/250+c
since y(0)=60 , we have -ln39940=c
-ln(40000-y)=t/250-ln39940
since y(t)is continuous and y(0)=60 , so 40000-y(t) is positive . Thus 40000-y=40000-y
y(t) 40000-39940e^(-t/250).
*Please any help will be very appreciate . Thank

Click here to see answer by Fombitz(32388) About Me 

Question 1072067: A 780-mile, 7-hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph.
For the remainder of the trip, the average speed was 120 mph. How long did the plane fly at each speed?
105 mph

120 mph

Click here to see answer by ikleyn(52788) About Me 

Question 1072066: A goldsmith combined an alloy that costs $4.40 per ounce with an alloy that costs $1.90 per ounce. How many ounces of each were used to make a mixture of 200 oz costing $2.60 per ounce?
$4.40 alloy
$1.90 alloy


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Question 1072096: How many outcomes are possible if you have 3 shirts, 4 pairs of pants, and 2 pairs of shoes to pick from?

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Question 1072094: How much of 40% solutions of alcohol and how much of an 80% solution should be mixed to give 40 gallons of a 50 % solution?
Click here to see answer by josgarithmetic(39618) About Me 

Question 1072065: A rug is made by weaving 24 lb of yarn that is 60% wool with a yarn that is 15% wool. How many pounds of the yarn that is 15% wool must be used if the finished rug is to be 42% wool?
Click here to see answer by josgarithmetic(39618) About Me 

Question 1072095: A jogger starts from one end of a 16-mile nature trail at 8:00 A.M. One hour later, a cyclist starts from the other end of the trail and rides toward the jogger. If the rate of the jogger is 5 mph and the rate of the cyclist is 10 mph, at what time will the two meet?
Click here to see answer by josgarithmetic(39618) About Me 

Question 1072131: You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 20% white vinegar and 80% water. How many cups of white vinegar do you need to add to the mixture?
Click here to see answer by josgarithmetic(39618) About Me 
Question 1072131: You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 20% white vinegar and 80% water. How many cups of white vinegar do you need to add to the mixture?
Click here to see answer by ikleyn(52788) About Me 
Question 1072131: You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 20% white vinegar and 80% water. How many cups of white vinegar do you need to add to the mixture?
Click here to see answer by MathTherapy(10552) About Me 

Question 1072197: 27) Dan and Mark are selling fruit for a school fundraiser. Customers can buy small boxes of
tangerines and large boxes of tangerines. Dan sold 12 small boxes of tangerines and 4 large
boxes of tangerines for a total of $120. Mark sold 3 small boxes of tangerines and 8 large boxes of tangerines for a total of $156. Find the cost each of one small box of tangerines and one large
box of tangerines.
28) Shanice and Shawna each improved their yards by planting daylilies and geraniums. They
bought their supplies from the same store. Shanice spent $62 on 4 daylilies and 6 geraniums.
Shawna spent $17 on 2 daylilies and 1 geranium. Find the cost of one daylily and the cost of one
geranium.

Click here to see answer by Boreal(15235) About Me 

Question 1072292: If 114 people attend a concert and tickets for adults cost $4 while tickets for children cost $2.75 and total receipts for the concert was $391, how many of each went to the concert?

Click here to see answer by josgarithmetic(39618) About Me 

Question 1072366: A solution of rubbing alcohol is 75.2 % (v/v) isopropanol in water. How many milliliters of isopropanol are in a 93.3 mL sample of the rubbing alcohol solution?
Express your answer to three significant figures

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Question 1072368: How many liters of a 3.83 M K2SO4 solution are needed to provide 97.9 g of K2SO4 (molar mass 174.01 g/mol)? Recall that M is equivalent to mol/L.
Express your answer to three significant figures.

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Question 1072374: A Web music store offers two versions of a popular song. The size of the standard version is
2.8
megabytes (MB). The size of the high-quality version is
4.9
MB. Yesterday, there were
800
downloads of the song, for a total download size of
2723
MB. How many downloads of the standard version were there?

Click here to see answer by jorel1380(3719) About Me 

Question 1072534: Justin needs 140 L of an 80% acid solution. he only has a 25% solution and a 95% solution though how many liters of each does he need to make the needed 140 L of 80% acid solution?
Click here to see answer by ikleyn(52788) About Me 

Question 1072552: How many gallons of a
90​% antifreeze solution must be mixed with
60 gallons of
30​% antifreeze to get a mixture that is
80​% ​antifreeze? Use the​ six-step method.


Click here to see answer by Alan3354(69443) About Me 
Question 1072552: How many gallons of a
90​% antifreeze solution must be mixed with
60 gallons of
30​% antifreeze to get a mixture that is
80​% ​antifreeze? Use the​ six-step method.


Click here to see answer by josgarithmetic(39618) About Me 

Question 1072588: A candy maker mixed marshmallows worth $1.80 a pound with rice crisipes worth $3.20 a pound to make 50 pounds of a rice crispie treats worth $2.92 a pound. Find the number of pounds of each item used.
I need help on this please help me :o

Click here to see answer by stanbon(75887) About Me 
Question 1072588: A candy maker mixed marshmallows worth $1.80 a pound with rice crisipes worth $3.20 a pound to make 50 pounds of a rice crispie treats worth $2.92 a pound. Find the number of pounds of each item used.
I need help on this please help me :o

Click here to see answer by josmiceli(19441) About Me 

Question 1072732: If televisions are on sale for 85% of the original price of $499. What is the sale price?

Click here to see answer by jorel1380(3719) About Me 

Question 1072722:
Please help me determine if this is linear or not.
Determine whether the differential equation is linear . y'+ycosx=x^9y^9
Thanks.

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1072756: Suppose David has $65 to spend on his ticket and some shirts. He already spent $32.25 on his ticket and fee.
Click here to see answer by ikleyn(52788) About Me 

Question 1072721: Please help me find the constant solutions for this problem .
A function y(t)satisfies the differential equation dy/dy=y^4-13y^3+40y^2 .What are the constant solutions of the equation .

Click here to see answer by ikleyn(52788) About Me 

Question 1072786: a liquid mixture is 4% pesticide. Some amount of this mixture and some amount of water are mixed to make 500 Liters of new mixture. Find the amount of water needed so that the new mixture is 1% pesticide.
Click here to see answer by josgarithmetic(39618) About Me 

Question 1072718: Please help me solve this problem .
Consider the differential equation t^2(dy/dt)=√y .
A)Find the general solution to the differential equation .
B)Find the solution with the initial-value y(1)=0
C)Find the solution with the initial-value y(1)=1

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Question 1072717: Please any help will be grateful .
Solve the differential equation dy/dx=(e^2x)/(4y^3)

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Question 1072716: Please help me this equation .

Solve the differential equation . y'=(7x^6y)/(Ln y)
Thanks

Click here to see answer by Fombitz(32388) About Me 

Question 1072861: technician needs to make a 48 liter batch of 40% acid solution. How can the technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired concentration?
Click here to see answer by josgarithmetic(39618) About Me 
Question 1072861: technician needs to make a 48 liter batch of 40% acid solution. How can the technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired concentration?
Click here to see answer by MathTherapy(10552) About Me 
Question 1072861: technician needs to make a 48 liter batch of 40% acid solution. How can the technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired concentration?
Click here to see answer by ikleyn(52788) About Me 

Question 1073080: What quantity of 75 percent acid solution mist be mixed with a 30 percent solution to produce 1080ml of a 50 percent solution?
Click here to see answer by josgarithmetic(39618) About Me 

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