Tutors Answer Your Questions about Mixture Word Problems (FREE)
Question 813298: A farmer mixed gasoline and oil to have 2 gallons of mixture for his chain saw. The mixture was 32 parts gasoline to 1 part oil. How much gasoline must be added to bring the mixture to 40 parts gasoline and 1 part oil?
My attempt: .32 (2) + 1 (X) = .40 (2 + X)
.64 + X = .8 + .4X
X = .2666 gal of gas to be added
The author says it is .48 gal of gas to be added
Thanks,
Bob
P. S. I am not a student. I am 67 and just trying to keep my brain working.
Click here to see answer by ewatrrr(24785)  |
Question 814538: x pounds of candy valued at $3.50 per pound is mixed with y pounds of candy valued at $4.30 per pound to produce 10 pounds of a mixture selling for $4 per pound. Find x and y, the number of pounds of each type. I've tried this several different ways and can't see to do it right. This is due tomorrow and I'm freaking out about what I'm doing wrong.
Click here to see answer by mananth(16946)  |
Question 814538: x pounds of candy valued at $3.50 per pound is mixed with y pounds of candy valued at $4.30 per pound to produce 10 pounds of a mixture selling for $4 per pound. Find x and y, the number of pounds of each type. I've tried this several different ways and can't see to do it right. This is due tomorrow and I'm freaking out about what I'm doing wrong.
Click here to see answer by josgarithmetic(39616) |
Question 814624: Hello,
My name is Traci and I am the mother of 7th grade pre-algebra student. She recently brought home a question and while I am usually able to help her with homework (after I re-learn how to do it myself), I am really stuck with this one. We have tried "acting it out with colored water," ratios, fractions and scouring the internet, but I am still at a loss to wrap my brain around this question so that I may adequately explain it to my daughter and lead her to discovery the solution on her own. Any help will be much appreciated!
Here goes:
I have one large pitcher containing 1 quart of lemonade and a second large pitcher containing 1 quart of iced tea. I pour 1 pint of lemonade into the iced tea pitcher and thoroughly mix it, and then pour 1 pint of the mixture back into the lemonade pitcher.
1. Is there more iced tea in the lemonade or more lemonade in the iced tea? Justify mathematically.
2. If the process is repeated a second time, how many ounces of lemonade will be in the original iced tea pitcher?
3. Is it possible to make both mixtures into 1/2 lemonade and 1/2 iced tea, using the same process repeatedly? Why or why not?
Thanks in advance for any help on this one!
Click here to see answer by ewatrrr(24785)  |
Question 814884: a seaplane flying with the wind flew from an ocean port to a lake,a distance of 240 mi in 2h.Flying against the wind,it made the trip from the lake to the ocean port in 3h.Find the rate of the plane in calm air and the rate of the wind.
Click here to see answer by TimothyLamb(4379)  |
Question 814882: A whale swimming against an ocean current traveled 60 mi in 2h.Swimming in the opposite direction,with the current,the whale was able to travel the same distance in 1.5 h.Find the speed of the whale in calm water and the rate of the ocean current.
Click here to see answer by TimothyLamb(4379)  |
Question 815076: Alan's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Alan $4.20 per pound, and type B coffee costs $5.30 per pound. This month, Alan made 156 pounds of the blend, for a total cost of 756.40 . How many pounds of type B coffee did he use?
Click here to see answer by josmiceli(19441)  |
Question 815143: A private Learjet 31A transporting passengers was flying with a tailwind and traveled 1120 mi in 2 h.Flying against the wind on the return trip,the jet was able to travel only 980mi in 2 h. Find the speed of the jet in calm air and the rate of the wind.
Click here to see answer by mananth(16946)  |
Question 815264: I want to find out how to solve this question:
"How many liters of a 10% solution of acid should mixed with 60% solution of acid to obtain a 20 liters of 50% solution?"
Do I need to use 2 variables? And will my set up of the equation be "x(.10)+y(.60)=20(.50)" ? or are there errors that must be corrected?
Click here to see answer by Alan3354(69443)  |
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