Tutors Answer Your Questions about Mixture Word Problems (FREE)
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) |
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) |
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 Boreal(15235)  |
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)  |
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)  |
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)  |
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)  |
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) |
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)  |
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)  |
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)  |
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) |
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)  |
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
Click here to see answer by Fombitz(32388)  |
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