Tutors Answer Your Questions about Mixture Word Problems (FREE)
Question 1091275: One hundred liters of a 50% solution of a chemical mixture is obtained by mixing a 60% solution with a 20% solution. Using a system of linear equations determine how many liters of each solution are required to obtain the 50% mixture. Solve the system using matrices.
Click here to see answer by josgarithmetic(39616)  |
Question 1091275: One hundred liters of a 50% solution of a chemical mixture is obtained by mixing a 60% solution with a 20% solution. Using a system of linear equations determine how many liters of each solution are required to obtain the 50% mixture. Solve the system using matrices.
Click here to see answer by ikleyn(52776)  |
Question 1091495: Jenny has R90 000 to invest. She has chosen one relatively safe investment fund that has an annual yield of
10% and another, riskier one that has a 15% annual yield. How much should she invest in each fund if she
would like to earn R10 000 in one year from her investments?
Click here to see answer by josmiceli(19441)  |
Question 1091514: Acompany manufactures two types of chairs, standard and plush. Standard chairs require 2 hours to construct and finish, and plush chairs require 3 hours to construct and finish. Upholstering takes 1 hour for standard chairs and 3 hours for plush chairs. There are 240 hours per day available for construction and finishing, and 150 hours per day are available for upholstering. If the revenue for standard chairs is R89 and for plush chairs is R133.50, how many of each type should be produced each day to maximize revenue? Let x be the number of standard chairs produced each day, and let y be the number of plush chairs produced.
Click here to see answer by ikleyn(52776) |
Question 1091512: A group of wholesalers will buy 50 dryers per month if the price is R200 and 30 per month if the price is
R300. The manufacturer is willing to supply 20 if the price is R210 and 30 if the price is R230. Assuming
that the resulting supply and demand functions are linear.
Find the equilibrium point for the market.
Click here to see answer by Theo(13342)  |
Question 1091573: An empty box with top, bottom and four sides, is a two and a half-foot cube. It is completely filled with smaller boxes that each measure ten inches on each side.
How many small boxes will be on the top layer in the big box?
How many small boxes will be touching the four sides of the big box?
How many small boxes are not against the top, bottom, or any side of the big box?
How many small boxes are on the bottom and also touching the sides of the big box?
How many small boxes are on the top and also touching two sides of the big box?
Click here to see answer by KMST(5328)  |
Question 1091513: DF Appliances has assembly plants in Atlanta and Fort Worth, where they produce a variety of kitchen appliances, including a 12-cup coffee maker and a cappuccino machine. At the Atlanta plant, 160 of the 12-cup models and 200 of the cappuccino machines can be assembled each hour. At the Fort Worth plant, 800 of the 12-cup models and 200 of the cappuccino machines can be assembled each hour. CDF Appliances expects orders for at least 64 000 of the 12-cup models and at least 40 000 of the cappuccino machines. At each plant, the number of assembly hours available for these two appliances is constrained by each plant’s capacity and the need to fill the orders. Let x be the number of assembly hours at the Atlanta plant, and let y be the number of assembly hours at the Fort Worth plant. For CDF appliances to meet the expected orders, what is the minimum number of hours that needs to be allocated at each manufacturing plant? (Tip: Solve the system of inequalities and identify the extreme
point(s) of the region of solution).
Click here to see answer by Theo(13342) |
Question 1091902: P,Q and R are each mixtures of red and white paint.
The percentage by volume of red paint in P is 30%.
The percentage by volume of red paint in Q is 20%.
The mixtures P,Q,and R are combined in the proportion 12:5:3 respectively.
If the resulting mixture contains 25% by volume of red paint, what percentage
by volume of mixture R is red paint ?
The answer was given as 13 and 1/3 % . Just asking about the steps to arrive
at this answer. Thank you, Melton Ellis mellis7379@gmail.com
Click here to see answer by greenestamps(13198)  |
Question 1091977: Given a container that is 4.500 ft by 7.20 ft that is filled with water 5.00 inches deep. What is the volume of water in liters?
(1 cubic centimeter = cc = cm^3 = 1 mL)
How many 25.0 mL syringes could you fill up given the volume of water in the container described above?
Click here to see answer by Fombitz(32388)  |
Question 1092040: 40 liters of a 50% salt solution are reduced to a 40% salt solution. How much of salt solution must be drained off and replaced with distilled water so that the resulting solution contains only 40% solution?
Click here to see answer by ikleyn(52776) |
Question 1092019: If the ratio of number of chocolate candies to caramel candies purchased is 2:5 and each chocolate candy is $1.00 and each caramel candy is $0.75, which of the following could be the total cost of a bag of candies purchased?
A) $15.00
B) $17.25
C) $19.50
D) $27.90
Click here to see answer by greenestamps(13198) |
Question 1092019: If the ratio of number of chocolate candies to caramel candies purchased is 2:5 and each chocolate candy is $1.00 and each caramel candy is $0.75, which of the following could be the total cost of a bag of candies purchased?
A) $15.00
B) $17.25
C) $19.50
D) $27.90
Click here to see answer by KMST(5328) |
Question 1091946: Census Data from 2003 for various age groups show that for each R100 increase in the median weekly income
for men, the median weekly income of women increases by R61.90. Also, for workers of ages 25 to 54 the
median weekly income for men was R676 and for women was R527. Let M represent the median weekly income for men and W the median weekly income for women, and write the equation of the line that gives W as a linear function of M.
[1] W = 0.381M + 269 444
[2] W = 2.625M − 1247 278
[3] W = 0.619M + 108 556
[4] W = 1.6166M − 565 084
[5] None of the above.
Click here to see answer by josmiceli(19441) |
Question 1091946: Census Data from 2003 for various age groups show that for each R100 increase in the median weekly income
for men, the median weekly income of women increases by R61.90. Also, for workers of ages 25 to 54 the
median weekly income for men was R676 and for women was R527. Let M represent the median weekly income for men and W the median weekly income for women, and write the equation of the line that gives W as a linear function of M.
[1] W = 0.381M + 269 444
[2] W = 2.625M − 1247 278
[3] W = 0.619M + 108 556
[4] W = 1.6166M − 565 084
[5] None of the above.
Click here to see answer by greenestamps(13198) |
Question 1091944: An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 8.38 cents per kilowatt hour to its base charge of R4.95 per month. Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used.
[1] y = 8.38x + 4.95
[2] y = 0.0838x + 4.95
[3] y = 0.838x + 4.95
[4] y = 0.0838x + 495
[5] None of the above.
Click here to see answer by ikleyn(52776) |
Question 1091944: An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 8.38 cents per kilowatt hour to its base charge of R4.95 per month. Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used.
[1] y = 8.38x + 4.95
[2] y = 0.0838x + 4.95
[3] y = 0.838x + 4.95
[4] y = 0.0838x + 495
[5] None of the above.
Click here to see answer by greenestamps(13198) |
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