Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 30127: What volume, in millilitres, of a 60% hydrochloric acid solution must be added to 100mL of a 30% hydrochloric acid solution to make a 36% hydrochloric acid solution?
Click here to see answer by checkley71(8403)

Question 25863: 10(�x � 7) + 20 = �5(2x + 4)
Click here to see answer by johnpaul(2)

Question 30300: The sum of two numbers is 111 and their difference is 63. What are the two numbers?
a + b = 111
a = 111-b
a - b = 63
I can't figure out how to solve.
Click here to see answer by checkley71(8403)

Question 30383: Stan and Hilda can mow the lawn in 40 minutes if they work together. If Hilda works twice as fast as Stan, how long would it take Stan to mow the lawn alone?
I set this up as if Stan = 2x and Hilda = x
then:
40 min (1/x + 1/2x)
= 40/x + 40/2x = 40+20 = 60 x
So Hilda would take 60 minutes and Stan 120 minutes, but this doesn't seem right.
Thanks for all your help!
Click here to see answer by Paul(988)

Question 30392: What is the answer to this story problem: One number is 8 more than another. THe square of the larger is 208 more thatn the square of the smaller. Find each.
Click here to see answer by Paul(988)

Question 30447: ANASTACIA HAS A CHOICE BETWEEN TWO CELL PHONE PLANS, ONE PLAN HAS UNLIMITED MINUTES FOR A FLAT FEE OF $60 PER MONTH. THE OTHER PLAN IS $15 PER MONTH PLUS 30 CENTS. ANASTACIA CHOOSES THE PLAN WITH THE FLAT FEE OF $60 PER MONTH SO HOW MANY MINUTES DOES ANASTACIA PLAN ON USING HER PHONE EVERY MONTH?
Click here to see answer by Paul(988)

Question 30427: Chicken nuggets come in packs of 6, 9, and 20. What is the largest number of nuggets that you cannot buy when combining various packs?
Click here to see answer by ikdeep(226)

Question 30425: What is the number of different 7 digit numbers that can be made by rearranging the digits 3053354?
Click here to see answer by longjonsilver(2297)

Question 30444: ANASTACIA HAS A CHOICE BETWEEN TWO CELL PHONE PLANS, ONE PLAN HAS UNLIMITED MINUTES FOR A FLAT FEE OF $60 PER MONTH. THE OTHER PLAN IS $15 PER MONTH PLUS 30 CENTS. ANASTACIA CHOOSES THE PLAN WITH THE FLAT FEE OF $60 PER MONTH SO HOW MANY MINUTES DOES ANASTACIA PLAN ON USING HER PHONE EVERY MONTH?
Click here to see answer by mbarugel(146)

Question 30470: How many ordered triples (X,Y,Z) of postive intgers satisfy X*Y*Z=4000?
Click here to see answer by khwang(438)

Question 30510: The school board is investigating ways to hire a faculty for the summer program. They can hire teachers and aides. a minimum of 20 faculty members is needed to rum the program, and there must be at least 12 teachers. For a proper teacher-to-aide ratio, the nimber of aides must be no more than twice the number of teachers. There can be no more than 50 faculty members altogether. (Hint: There cannon be a negative number of teachers of aides.)
A. Write an inequality for each condition givin in this situation.
B. Graph the inequalities on the same coordinate axes.
C. If the school board hires 12 teachers and 5 aides, will all of the conditions be satisfied?
Click here to see answer by josmiceli(19441)

Question 30549: hey my teacher gave us this problem and me and my friend cant figure out how to do it everytime we try we end up getting the wrong answer here it is jeans cost $6 dollars more than shorts. If joan buys 3 pairs of shorts and 2 pairs of jeans for $102, how much does one pair cost?
Click here to see answer by checkley71(8403)

Question 30550: I would appreciate some help with my homework problem # 33. Solve. The width of a rectangular ballfield is 96 yd. Find all possible lengths so that the perimeter of the ballfield will be at least 540 yd.
Thank you.
Click here to see answer by Cintchr(481)

Question 30500: a man standing on a bridge drops a coin into a stream from a height of 112 feet. its distance above the stream after "t" seconds is given by
h(t)-112ft-16t^2 (squared). find the coins average speed for teh first 2 seconds. what is the average speed of the coin between 2 seconds and the time the coin hits the water?
Click here to see answer by mbarugel(146)

Question 30487: Could you tell me if I've presented this in the right way:
Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know it takes 18 hours using both hoses. They also know that Bob's hose, used alone, takes 20% less time than Jim's hose alone. How much time is required to fill the pool by each hose alone?
let x = the faster hose
let .8x = the slower hose (80% capacity)
then
x+ .8x = 18
1.8x = 18
x = 10 hours for the faster hose
.8(10) 8 hours for the slower hose
= 18 total hours for both.
Thanks for all your help!!
Click here to see answer by mbarugel(146)

Question 30572: A used car salesman buys a car for $2,500 and sells it for $4,327. he then buys a camper with 2/3 of his profit and sells the camper for twice what he paid for it. How much money did the salesman make during these transactions?
Click here to see answer by mbarugel(146)

Question 27083: When a smaller number is subtracted from a larger number the difference is 34. If the larger number is 30 less than 3 times the smaller number, what are the two numbers.
Click here to see answer by ikdeep(226)

Question 30426: Chicken nuggets come in packs of 6, 9, and 20. What is the largest number of nuggets that you cannot buy when combining various packs?
Click here to see answer by Nate(3500)

Question 28653: PLEASE HELP ASAP: Prof Davis counts his midterm as 2/3 of the grade and his final as 1/3 of the grade. Jason scored only 64 on the midterm. What range of scores on the final exam would put Jason's average between 70 and 79 inclusive? Solve by using a compound inequality. PLEASE HELP
thank you

Click here to see answer by checkley71(8403)

Question 29009: Freeport mcMoRan projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of the world demand. What will the world grain demand be in 2010?
Click here to see answer by checkley71(8403)

Question 30717: Please help me with this one. ** An empty swimming pool can be filled in 10 hours. When full, the pool can be drained in 16 hours. How long will it take to fill the pool if the drain is left open?
Click here to see answer by venugopalramana(3286)

Question 30875: A 24 foot long piece of pipe is cut into three pieces. The first piece is twice as long as the second piece, and the third piece is 6 feet longer than the second piece. Find the length of each piece.
Click here to see answer by longjonsilver(2297)

Question 30876: A traffic check counted 390 cars passing a certain spot on one day and 430 cars at the same spot on the second day. The first day there were 3 times as many cars going east and half as many cars going west on the second day. What was the total number of east bound cars and the total number of west bound cars for two days?
Click here to see answer by mbarugel(146)

Question 30917: A pizza with cheese and tomato topings cost $8.00. There is a cost of $1 for each extra topping. Write an algebraic expression for the cost of a pizza with e extra toppings
Click here to see answer by mbarugel(146)

Question 31010: M is a drug recently proven to be effective in treating male pattern baldness. the pharmicist mixes a solution 2%M. He has 50 ml of a 1% solution. He adds 4% solution to it to obtain the desired 2% solution. How much 4% solution does he add?
Click here to see answer by Paul(988)

Question 31015: 2000-2001 NBA regular season, Kings won two less than three times as many games as they lost. The Kings played 82 games. How many wins and losses did the team have? (Source: nba.com)
Click here to see answer by Paul(988)

Question 31103: A full grown giraffe is about 6 times heavier than a full grown lion. A full grown cheetah is about one quarter as heavy as a full grown lion. Together, they are about 450kg. What is the approximate mass of each animal?

Click here to see answer by Paul(988)

Question 31014: The sum of three times a number and 7 more than the number is the same as the difference between -11 and twice the number. What is the number?
Click here to see answer by ikdeep(226)

Question 31114: Hello,
My name is Kristin and I am studying for a math placement exam. I am rusty on
some Algebra questions. Can you show me how, step by step?
Quest: Eggs are to be packed in cartons, each holding 12 eggs. If there are 128 eggs and as many cartons are filled as possible, how many eggs are left over?
I know that this is a division problem, such as 128/12, but this is a multiple choice question where the choices are a)10.667 & b)10.7
I am confused b/c when you divide 12 into 128, the calculator gives you 10.66666666666, etc. Isn't 10.667 the same thing as 10.7 rounded off? What do you think the best answer is?
Click here to see answer by longjonsilver(2297)

Question 31131: At the beginning of the 12th century Bhaskara claimed that n / 0 equals an infinite quantity. Why might this be a reasonable conjecture? Can we use it as a rule of arthmetic? If not, what goes wrong?
Click here to see answer by longjonsilver(2297)

Question 31068: 3 men were charged $10 each for the sales item. Since the items were not new, the seller decided to gave them a deal. He gave his son $5 and told him to give each man a $1 back. His son kept $2 for himself and gave the men $1 each. What happened to the remaining dollar?
3 X 10 = 30 total cost
30 - 5 = 25 refund
25 - 3 = 22 men's refund
22 - 2 = son kept
Click here to see answer by Earlsdon(6294)

Question 19172: Of 29 students, 11 have cats, 14 have dogs, and 7 have no pets. How many students have 2 pets?
Click here to see answer by mukhopadhyay(490)

Question 19172: Of 29 students, 11 have cats, 14 have dogs, and 7 have no pets. How many students have 2 pets?
Click here to see answer by AnlytcPhil(1806)

Question 31294: please help me with this question i dont understand it at all. find the dimensions of a rectangle a with the greatest area whose perimeter is 30 feet.thank you so much.
Click here to see answer by josmiceli(19441)

Question 31304: Doris has $20,000 to invest. Her financial planner recommends that she diversify into
three investments:
Treasury bills that yield 5% simple interest,
Treasury bonds that yield 7% simple interest, and corporate bonds that yield 10% simple interest.
Doris also wishes to earn $1390 per year in income.
Also, Doris wants her investment in Treasury bills to be $3000 more than her investment in corporate bonds.
How much money should Doris place in each investment?

Click here to see answer by stanbon(75887)

Question 31013: In one day, Sheila received 13 packages.. Federal Express delivered three times as many as Airborne Express, while U.S. delivered 2 fewer than Airborne Express. How many packages did each service deliver to Sheila?
Click here to see answer by checkley71(8403)

Question 31376: I am taking a basic math class for my college degree. However it has been 20+ years! I have a word problem that I can't quite figure out how to put into a formula.
Shannon earns $70 a week more than Diane. Diane earns $40 more than Lori. Lori earns $50 more than Sylvia. The four of them earn a total of $1,500. How much does each person earn?
I had started with x = Sylvia. Then Lori(L) = x+50, and Diane(D) = L+40, and Shannon(S) = D+70. But I don't think this is right.
Thank you for your assistance.
Click here to see answer by askmemath(368)

Question 31540: The difference of two numbers is 6. Their sum is 30. Find the two numbers.
Click here to see answer by checkley71(8403)

Question 31548: My kids tend to loose cards quite often but we still play some games. For example: We have assembles quite a pile of cards and are playing a game in which all the cards are delt out before playing. We discovered:
If two people are playing-1 card will be left,
3 people-2 cards left,
4 people-3 cards left,
5 people- 4 cards left,
6 people-5 cards left,
and 7 people- 0 cards left
How many crads are in this deck?
Click here to see answer by checkley71(8403)

Question 31622: If a number is added to its square, the sum is 156. Find the number.
&
One number is 3 less than twice another number. The product of the two numbers is 5. Find the numbers.
Click here to see answer by Cintchr(481)

Question 31682: Graph papers and rulers. 5 packs of graph and 30 rulers costs 40.00. 12 packs of graph paper and 20 rulers cost 44.00. What the the cost of 1 ruler?
Click here to see answer by checkley71(8403)

Question 29306: On a visit to the Grand Canyon, a tourist took an excursion and went one-third of the way on foot, 10 miles by boat, and one-sixth of the way by mule. How long was the excursion?
Click here to see answer by checkley71(8403)

Question 31761: The houseboat travels 100 miles downstream in the same time it takes to go 60 miles upstream. If the speed of the houseboat is 20 mph in still water, what is the speed of the current?
Click here to see answer by Paul(988)

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