Questions on Word Problems: Mixtures answered by real tutors!

Tutors Answer Your Questions about Mixture Word Problems (FREE)

Question 1030336: In a mixture of concrete, there are five lb of cement mix for each pound of gravel. If the mixture contains a total of 90 lb of these two ingredients, how many pounds of gravel are there?
Click here to see answer by josgarithmetic(39617)

Question 1030639: Hi,
I'm trying to work on mixture problems but I don't understand how you tell which % is the solute and which is the solvent?
For example, A physician asks that 250ml of a 15% solution to be prepared from a stock supply of 80% solution.
How many milliliters of the solute are needed?
How many milliliters of the solvent are needed?
I believe I could work the problem out if I understood how to tell which is which.
Thanks!
Holly
Click here to see answer by Theo(13342)

Question 1030719: A store is having a sale on jellybeans and trail mix. For 2 pounds of jellybeans and 6 pounds of trail mix the total cost is $12 for 5 pounds of jellybeans and 3 pounds of trail mix the total cost is $15 find the cost of each pound of jellybeans and each pound of trail mix..my email address is dewayne123700@gmail.com
Click here to see answer by stanbon(75887)

Question 1030722: A baker wants to make a 15 pound blend of flour that costs $.60 per pound. The blend is made by using rye flour that costs $.70 per pound and wheat flour that costs $.40 per pound. How many pounds of each flower should be used?
Click here to see answer by stanbon(75887)

Question 1030737: a girl bought 20 first-class stamps and 10 postcard stamps for $11.10. another day she spent $24.50 on 40 first-class stamps and 30 postcard stamps. find the cost of each type of stamp
Click here to see answer by Cromlix(4381)

Question 1030784: How many grams of cream containing 12% butterfat must be added to 1500 grams of milk containing 2% butterfat to obtain milk having 4% butterfat?
Click here to see answer by amarjeeth123(569)

Question 1030785: a coffee company wants a new flavor of cajan coffee. How many pounds of coffee worth $7 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth $5 a pound
Click here to see answer by mananth(16946)

Question 1030794: I'm having problems solving this word problem:
A pharmacist mixed some 10% saline solution with some 15% saline solution to obtain 100ml of a 12% saline solution. How much of the 10% saline solution did the pharmacist use in the mixture?
SO far, I have used this weird equation with 3 variables& i'm pretty sure I messed up somewhere? Could u point out my errors or something and explain how to do it? Here's my work:
X+y=z
0.1x+0.15y=100(0.12z)
Thank u tons!
Click here to see answer by mananth(16946)

Question 1030829: An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing
200
grams of an alloy that contains
44%
copper with
56
grams of pure copper.
nswer the questions below. Do not do any rounding.

(a) How many grams of copper are in the resulting mixture?
grams

(b) What percentage of the resulting mixture is copper?
%

Click here to see answer by Cromlix(4381)

Question 1031034: problem: a cake shop has cookies worth $.90 and cookies worth $1.50 per pound. How many pounds of each kind should the manager of the shop use in order to have 120 pounds of cookies to sell at $1.25 per pound?
Click here to see answer by josgarithmetic(39617)

Question 1031050: I am thinking of two whole numbers the second is larger than the first The sum of the squares of the numbers is 16 what are the two numbers? Explain how you found your answer
Click here to see answer by ikleyn(52787)

Question 1031141: I'm having problems doing this word problem. Somebody help! Here it is:
A pharmacist mixed some 10% saline solution with some 15% saline solution to obtain 100ml of a 12% saline solution. How much of the 10% saline solution did the pharmacist use in the mixture?
Now, here is my work that i did. I made a 3 variable equation and something seems to not work there. Could you please show me what i did wrong or come up with a new way to approach the problem?
x+y=z
10x+15y= 100(12z)
Thanks a ton!
Click here to see answer by ikleyn(52787)

Question 1031142: Lisa will make punch that is 25% fruit juice by adding pure fruit juice to a 2 liter mixture that is 10& pure fruit juice. How many liters of pure fruit juice does she need to add?
Click here to see answer by josmiceli(19441)

Question 1031225: If 95mg is 50% is the sodium content, what is 100%
Click here to see answer by Alan3354(69443)

Question 1031458: A student who took a national standardized test was informed her score was in the 93rd percentile. From this information, which one of the following statements is correct?
A The z-score for her score was .93
B About 93% of all people who took the exam scored higher than her score
C 93% of her answers on the test had to be correct
D Approximately 93% of the scores on the test were less than her score
E None of the above are true
Click here to see answer by Boreal(15235)

Question 1031498: How many liters each of a 35% acid solution and a 85% acid solution must be used to produce 50 liters of a 55% acid solution? (Round to two decimal places if necessary.)
Click here to see answer by ikleyn(52787)

Question 1031486: a solution of 72% fertilizer is to be mixed with a 26% fertilizer to form 230 liters of a 53% solution. How many liters of the 72% solution must be used
Click here to see answer by stanbon(75887)

Question 1031555: A player draws one card from a special deck of 27 playing cards shown here. The deck, which is thoroughly shuffled, consists of 9 cards numbered one (1) through nine (9) that are printed in green ink, 9 cards numbered one (1) through nine (9) that are printed in blue ink, and 9 cards numbered one (1) through nine (9) that are printed in red ink.

The two events, "a card with a green number on it" and "a number greater than 7" are

A Independent but not mutually exclusive events
B Mutually exclusive but not independent events
C Independent and mutually exclusive events
D Neither independent nor mutually exclusive events
E Impossible to determine if they are mutually exclusive or independent events because of insufficient information given
Click here to see answer by solver91311(24713)

Question 1031554: A player draws one card from a special deck of 27 playing cards shown here. The deck, which is thoroughly shuffled, consists of 9 cards numbered one (1) through nine (9) that are printed in green ink, 9 cards numbered one (1) through nine (9) that are printed in blue ink, and 9 cards numbered one (1) through nine (9) that are printed in red ink.

Find the probability that the card is either green or has a number greater than seven(7) written on it.
A 9/27
B 12/27
C 13/27
D 15/27
E 18/27
Click here to see answer by solver91311(24713)

Question 1031584: A multiple-choice quiz has 5 questions each with four (4) choices. You have no idea what the correct answer is to any question so you decide to guess each answer. The probability of answering at least one question correctly is

A 0.24
B 0.25
C 0.5
D 0.76
E 0.06
Click here to see answer by richard1234(7193)

Question 1031585: The events F:Female and B:Business Major are known to be independent events. Which one of the following statements is correct concerning events F and B?

A P(F U B) = P(F) + P(B)
B P(F U B) = P(F) + P(B)
C P(F ∩ B) = P(F)P(B)
D P(F ∩ B) = P(F)P(B)
E P(F | B) = P(B)
Click here to see answer by Edwin McCravy(20056)

Question 1031565: In a test of hypotheses of the form H0: � = 100 versus H1: � < 100 a sample size of 250 produced a test statistic z = -1.47. The p-value (observed significance) is about:
A 0.07
B 0.43
C 0.93
D -0.07
E 0.57
Click here to see answer by robertb(5830)

Question 1031864: A metallurgist has one alloy containing 29% copper and another containing 53% copper. How many pounds of each alloy must he use to make 49 pounds of a third alloy containing 34% copper? (Round to two decimal places if necessary.)
Click here to see answer by mananth(16946)

Question 1031866: the 75 dollar cost for a party was to be equally shared by all those attending. Since 5 more people attended than were expected, the price per person dropped by 50 cents. How many people attended the party?
Click here to see answer by mananth(16946)

Question 1031865: how much-distilled water should a nurse add to reduce 20 oz of a 25% antiseptic solution to a solution that is 10% antiseptic.
Click here to see answer by mananth(16946)

Question 1031962: Select all the expressions that are equivalent to 4 + w + 12 w .
A. 4 + 13 w
B. 13 w2 + 4
C. 2 (2 + 6w ) + w
D 16 + 2 w
E 2 ( 2 + 6w2)
Click here to see answer by Cromlix(4381)

Question 1031986: Mrs. McDonald has a farm with ducks and pigs. There are 27 heads and 84 legs. How many ducks and pigs are on Mrs. McDonald's farm?
Click here to see answer by stanbon(75887)

Question 1032016: In the language of hypothesis testing, which of the following statements are true?

I) A Type I error occurs when a the null hypothesis is rejected and the null was true.
II) When rejecting or accepting the null hypothesis, you can not make both a Type I error and a Type II error with the same decision.
III) The null hypothesis is rejected if the p-value (observed significance level) is greater than alpha(α) the level of significance
IV) The probability of committing a Type II error is α, the significance level of the test

A I only
B I and II only
C I, II and III only
D I, II and IV only
E I, II, III and IV are all true statements
Click here to see answer by Boreal(15235)

Question 1032018: The mean and standard deviation of 500 students who took a statistics final were 72 and 8, respectively. The grades have a mound-shape distribution. Based upon this information, the best estimate of the percentage of students who scored higher than 80 on the exam is

A 68%
B 32%
C 16%
D 5%
E 2.5%
Click here to see answer by Boreal(15235)

Question 1032019: The mean and standard deviation of 500 students who took a statistics final were 72 and 8, respectively. The grades have a mound-shape distribution. Based upon this information, the best estimate of the percentage of students who scored higher than 80 on the exam is
A 68%
B 32%
C 16%
D 5%
E 2.5%
Click here to see answer by stanbon(75887)

Question 1032155: a milkman purchases milk at$ 5 per liter and mixes it with water.if by selling the solution at $ 4per liter,he makes neither profit nor loss what is the ratio of milk to water in the new solution.
Click here to see answer by stanbon(75887)

Question 1032169: In a 25litres mixture of milk and water , the water is only 20%.how many litres of water is required to increase the percentage of water to 90%.
Click here to see answer by Alan3354(69443)

Question 1031562: If z represents a standard normal random variable, then the P( -0.16 ≤ z ≤ 2.18) is approximately
A .04
B .42
C .48
D .49
E .55
Click here to see answer by robertb(5830)

Question 1031567: In a test of hypotheses of the form H0: � = 100 versus H1: � < 100 a sample size of 250 produced a test statistic z = -1.47. Which of the following statements are correct?

I) If α = .10, reject H0 since the p-value of .07 < .10
II) If α = .05, reject H0 since the p-value of .07 > .05
III) If α = .10, reject H0 since the test statistic -1.47 < -1.28

A I only
B II only
C III only
D I and III only
E II and III only
Click here to see answer by robertb(5830)

Question 1031573: A large sample is collected in order to study the relationship between two variables x and y whether x can be used to predict y. It is found that r = -.65. Which one of the following statements is true?

A x and y are almost perfectly linear correlated, and y increases as x increases
B x and y are moderately linear correlated, and y increases as x increases
C x and y are almost perfectly linear correlated, and y decreases as x increases
D x and y are moderately linear correlated, and y decreases as x increases
Click here to see answer by robertb(5830)

Question 1031582: The mean and standard deviation of 500 students who took a statistics final were 72 and 8, respectively. The grades have a mound-shape distribution. Based upon this information, the best estimate of the percentage of students who scored higher than 80 on the exam is

A 68%
B 32%
C 16%
D 5%
E 2.5%
Click here to see answer by robertb(5830)

Question 1031583: The mean and standard deviation of 500 students who took a statistics final were 72 and 8, respectively. The grades have a mound-shape distribution. Based upon this information, the best estimate of the number of students who scored between 56 and 88 is

A 68%
B 95%
C 340
D 475
E 375
Click here to see answer by robertb(5830)

Question 1031587: If the equation of the regression line between two variables x and y is given by the equation (y-hat) = 2 - 3.1x for values of x between 1 and 10, and the correlation coefficient r = -0.92 consider the following statements and identify which are true.

I) 92% of the variation in y is explained by the x variable
II) Indications are there is a strong negative correlation between y and x
III) Indications are there is a strong positive correlation between y and x
IV) If x = 5, one would estimate y = -13.5

A Only I and IV are true
B Only I, II, and IV are true
C Only I, III and IV are true
D Only II and IV are true
E Only III and IV are true

Click here to see answer by robertb(5830)

Question 1031588: A survey of voters was used to test if the President's approval rating had dropped below 40% approval. The null hypothesis was Ho: p = .4 and the alternative was H1: p < .4. The value of the test statistic was computed and was found to be -2.16. Which one of the following best approximates the p-value (observed significance)

A 0.9846
B -0.9846
C 0.0154
D 0.0308
E -0.0154
Click here to see answer by robertb(5830)

Question 1032288: Gabe Amodeo, a nuclear physicist, needs 60 liters of a 60% acid solution. He currently has a 50% solution and a 70% solution. How many liters of each does he need to make the needed 60 liters of 6060% acid solution?
Click here to see answer by mananth(16946)

Question 1032296: How much water must be evaporated from 8 grams of a 30% antiseptic solution to produce a 40% solution?
Click here to see answer by Alan3354(69443)

Question 1032315: candy produce t-shirts. the cost to produce n t-shirts is given by the expression 12n-2n^2,and the revenue from selling the same number of t-shirts is n^3 +2n^2.
write an expression, in factored form, that calculates the profit from selling n t-shirts.
Click here to see answer by JoelSchwartz(130)

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