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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 398200: What quantity x of a 65% acid solution must be mixed with a 20% solution to produce 300 mL of a 45% solution.
Amount x=_____
I set up a system of two equations:
x+y=300
.65x+.20y=.45
I solved for x and got 133.33. What am I doing wrong?
Thank you!!

Click here to see answer by ewatrrr(24785)

Question 398198: A ball is thrown straight upward at an initial speed of 104 feet per seconds. From Physics it is known that, after t seconds, the ball reaches a height h feet given by the formula h=-16t^2 + 104 t.
1.The ball reaches the height of 64.96 feet after t1= _____ and t2=_____ seconds (with t1 < t2)
I set up the problem as 64.96= -16t^2+104t. I solved for t and I keep coming up with t1= .777 and t2= 5.222. What am I doing wrong?
Thank you!

Click here to see answer by scott8148(6628)

Question 398269: a rectangle 15cm by 30 cm is increased by the same amount. Its area is increased by 144cm^2. By how much is each dimension increased?
Click here to see answer by robertb(5830)

Question 398273: the difference between twelve and the product of five and a number is seven. find the number
Click here to see answer by robertb(5830)

Question 398314: with a strong tailwind an airplane flew 1800 miles in four hours and thirty minutes. The return trip with a head wind took six hours. Find the ground speed of the airplane and the wind speed.
Click here to see answer by mananth(16946)

Question 398296: Junior�s boat will go 15 miles per
hour in still water. If he can go 12 miles downstream in the
same amount of time as it takes to go 9 miles upstream,
then what is the speed of the current?

Click here to see answer by mananth(16946)

Question 398290: Tom's boat will go 15 miles per
hour in still water. If he can go 12 miles downstream in the
same amount of time as it takes to go 9 miles upstream,
then what is the speed of the current?

Click here to see answer by mananth(16946)

Question 398420: In a factory a machine can fill 180 jars in 15 minutes. How many jars can be filled in 100 minutes?
Click here to see answer by unlockmath(1688)

Question 398611: In the United states 154,000,000 tons of garbage are produced annually. On an average, about how many pounds is that each month for each person in the United States? The population of the United States is about 250 million.
Click here to see answer by josmiceli(19441)

Question 398825: A basket contains 5 apples.Do you know how to divide them among 5 kids so that each one has an apple and one apple stays in the basket?
Click here to see answer by josmiceli(19441)

Question 398684: A commuter plane provides transportation from an international airport to surrounding cities. One commuter plane averaged 280 mph flying to a city and 120 mph returning to the international airport. The total flying time was 3 h. Find the distance between the two airports.
Click here to see answer by ankor@dixie-net.com(22740)

Question 398853: Given the cost function C(x) = 2700 + 31x and the revenue function R(x) = 49x, find the number of units that must be old to break even.
Click here to see answer by nerdybill(7384)

Question 399017: Write an equation in which "x" is the width of a uniform path that surrounds a garden 8m by 10m. The area of the path is 40m^2
Solve the equation
Click here to see answer by checkley79(3341)

Question 399027: The markup on a used car was at least 35% of its current wholesale price. If the car was sold for $4300, what was the maximum wholesale price?
Click here to see answer by ak21(6)

Question 398995: please help I'm stuck!!!
My homework question is... A small fair charges $1.50 for children and $4.00 for adults. On a certain day 220 people attened and $5050 was collected. How many children and adults where there on this day.
I think it is system of equation so I set up and equation of 1.50c + 2200=5050, then I subtracted 2200 from both sides which left me with 1.50c=2850, so I then divided both sides by 1.50 which gave me 1900. But then that means only 300 adults at 4.00 dollars can out to be $1,200 so my total only came to be $4050 making it $1,000 short and I cannot figure this out please help me.
AndreSheuna
Click here to see answer by ankor@dixie-net.com(22740)

Question 399227: If a dollar is worth 0.02 bars of pressed latinum, how many dollars will you get in exchange for 200 bars?
Click here to see answer by ak21(6)

Question 399156: I am a home educator who is having trouble with a word problem using two variables-digit problems.
Find a three-digit number whose units digit is 3 times its hundreds digit and 2 times its tens digit, and the sum of whose digits is 11.
Do they mean that u=3(100h) and u is also equal to 2(10h)?
h+t+u=11
That's as far as I have gotten. Help!
Click here to see answer by Alan3354(69443)

Question 399212: My homework is about linear inequalities, and I'm having trouble working this out. Can you help?? Thank you
"the number of women is at least half the number of men." Express this statement as an inequality, using x for the number of men.
and this is what I have done so far y<1/2x

Click here to see answer by unlockmath(1688)

Question 399310: a chemist must mix 8 L of a 40% acid solution with some 70% solution to get a 50% solution. how much of the 70% solution should be used?
Click here to see answer by josmiceli(19441)

Question 399319: Mr. Hayes ate (1)/(10) of a cake leaving (9)/(10). If Mr. Emerson eats (2)/(3) of the cake that is left, how much of the whole cake did Mr. Emerson eat?
Click here to see answer by josmiceli(19441)

Question 399348: I am sorry, I do not really know what category this should be in.
My question is: Two numbers differ by five and have a product of fifty-four. Find Them.
Click here to see answer by Tatiana_Stebko(1539)

Question 399337: The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club.
Click here to see answer by mananth(16946)

Question 399335: If the average radius of the orbit of Venus is 0.723 au, then how many years does it take for Venus to complete one orbit of the sun?
Click here to see answer by richard1234(7193)

Question 399437: The sum of the squares of two consecutive integers is 13. Find the integers

Click here to see answer by stanbon(75887)

Question 399458: Who will feel colder? A person in Minneapolis at 10 degrees F with a 15 mph wind or a person in Chicago at 20 degrees F with a 25 mph wind.
Click here to see answer by ewatrrr(24785)

Question 399561: To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bars included 2 tagged bears. What is the conservationists estimate of the size of the bear population?
Use a porportion to solve
Click here to see answer by stanbon(75887)

Question 399555: if the rise is 3/2 and the run is 5, then what is the ratio of the rise to the run?
Click here to see answer by edjones(8007)

Question 399620: Can you please help me with this word problem. A famous basketball player scored 83 points in a high school game. She made 31 more 2-point baskets than 3-point baskets, and only 1 free throw. How many 2-point and 3-point baskets did she make
Click here to see answer by checkley79(3341)

Question 399796: Jermaine wants to sell printed t-shirts to raise money for a school dance. He spends $112 to buy a silk-screen machine and ink.He buys each shirt for $1.75. He sells each shirt for $6.50.
a) Write an equation when y is Jermaine's cost of printing x shirts.
b) Write a second equation where y is the money that Jermaine makes after selling x shirts.
c) Graph the equations. Solve for the point of intersection.
I attempted to solve
a) y=112 + 1.75x
b) y=6.50 x 1.75x -112
Please help me!!!

Click here to see answer by stanbon(75887)

Question 399818: Can you explain how to solve this word problem?:
It normally takes 2 h to fill a swimming pool. The pool has developed a slow leak. If the pool were full, it would take 10 h for all the water to leak out. If the pool is empty, how long will it take to fill it?
Click here to see answer by ankor@dixie-net.com(22740)

Question 400014: A ball is thrown straight upward at an initial speed of 203 feet per second.
From Physics we know that the ball will reach a height of h feet after t seconds where h and t are related by the following formula.
h=−16t2+203t
When does the ball reach a height of 25 feet?
If the ball reaches 25 feet more than once, list both times in any order and separate them with commas.
If the ball never reaches 25 feet, enter NEVER.

Click here to see answer by nerdybill(7384)

Question 400167: what is nine times number equal 72 thousandths

Click here to see answer by MathLover1(20849)

Question 400002: a person traveling 4 hr by plane and 25 hr by ship covers 1580 miles. If the speed of the plane had been one-half the actual speed and the speed of the ship had been one-fourth greater,the person would have traveled only 1315 miles in the same lenght of time. What are the speeds of the plane and the ship

Click here to see answer by ankor@dixie-net.com(22740)

Question 400361: I have 1/3 of $15.00. How many dollar do I have? Explain why?
Click here to see answer by rfer(16322)

Question 400475: speed is 20mph leave at 10:20am how for will you have gone by 5:00 pm
Click here to see answer by robertb(5830)

Question 400513: The dimensions of a rectangle are such that its lenghth is 3 in. more than its width. If the length were doubled and if the width were decreased by 1 in., the area would be increased by 204 in.^2. What are the length and width of the rectangle?
Click here to see answer by solver91311(24713)

Question 400501: "Four times a number is three times the difference between thirty-five and the number. Find the number"
Thank you in advance!
Click here to see answer by edjones(8007)

Question 400472: a rectangular garden is 9ft longer than it is wide. a second rectangular garden is planned so that it will be 6 ft wider and twice as long as the first garden. find the area of the first garden if the sum of the areas of both gardens will be 528 ft squared
Click here to see answer by lwsshak3(11628)

Question 400499: "Twice the difference between a number and twenty-five is three times the number. Find the number."
Thank you in advance!
Click here to see answer by mananth(16946)

Question 400428: The area of a right triangle is 44 meters squared. Find the lenghts of its legs if one of the legs is 3 meters longer than the other.
Click here to see answer by Fombitz(32388)

Question 400594: A piece of sheet metal, w = 18 inches wide, is bent to form the gutter shown in the illustration. If the cross-sectional area is 28 square inches, find the depth of the gutter.

Click here to see answer by ankor@dixie-net.com(22740)

Question 400796: Please help me set up the equation for this word problem so that I can then solve.
Working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken Daniel 9 hours. Find how long it have taken Daniel 9 hours. Find how long it would take Paul to do it alone.
Click here to see answer by checkley79(3341)

Question 401004: Bob's mother asked how he had done on his test. Bob said if you multiply my score by 3, then subtract 40 from that answer then divide by 2 you will get 100. What was Bob's score?
Click here to see answer by josmiceli(19441)

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