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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 109329: ron takes two hours more than paul to mow the lawn . working togather they can mow the lawn in 5 hrs . how long does it take each of them working alone

Click here to see answer by Edwin McCravy(8896)

Question 109423: 4 people, starting on the same side, want to cross a bridge. All have to be across in 17 minutes or less. It is night. They have one flashlight, which must accompany them across. A max of 2 people can go at once. The flashlight cannot be thrown. It must be walked back and forth. Each person walks a different speed and pairs must walk together at a rate of the slower person's pace. The 4 persons crossing times are as follows: P1 = 1 min.; P2 = 2 min.; P3 = 5 min., P4 = 10 min. How do you solve this?
Click here to see answer by scott8148(6628)

Question 109461: sally bought three chocolate bars and a pack of gum and $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00 find the cost of a chocolate bar and the cost of a pack of gum.
Click here to see answer by nihat(10)

Question 109526: A 100 pound watermelon is 95 percent water. It is dehydrated until it is 90 percent water. What is its weight of dehydration?
Click here to see answer by edjones(7569)

Question 109637: The square of an integer is equal to twice the integer. Find the integer.
Click here to see answer by Fombitz(13828)

Question 109636: A Christmas tree is supported by a wire that is 1 foot longer than the height of the tree. The wire is anchored at a point whose distance from the base of the tree is 49 feet shorter than the height of the tree. What is the height of the tree?
Click here to see answer by checkley71(8403)

Question 109634: The area of a square is 81 square centimeters. How long is each side of the square?
Click here to see answer by checkley71(8403)

Question 109635: The length of a rectangle is five times the width. If the area is 180 square inches, find the length and width of the rectangle.
Click here to see answer by checkley71(8403)

Question 109791: a semi truck travels 300 miles through flat land in the same amount of time it travels 180 miles through the mountain. the rate of the truck is 20 miles per hour slower in the mountains than in the flat land. find the flat land and mountain rates.
Click here to see answer by stanbon(57290)

Question 109633: The length of a rectangle is three centimeters greater than the width. The area is 108 square centimeters. Find the length and width of the rectangle.
Click here to see answer by ankor@dixie-net.com(15646)

Question 109815: You're choosing between 2 plans at a discount warehouse. PLAN A: annual membership fee is $100 and you pay 80%of manufacturer's recommended list price. PLAN B: annual membership fee is $40 and you pay 90% mrlp. How many dollars of merchandise would you need to buy in a year to pay the same amount under both plans? What will be the cost for each plan?--------Can someone please help me with this problem? I don't know how to set this up or solve it algebraically. Thank you so much.
Click here to see answer by bucky(2189)

Question 109914: I need help with story problems
Solve the problem and show solution used......In a town election the winning candidate had 220 more votes than the loser. If 810 votes were cast in all how many did each candidate receive?
thanks
heather
Click here to see answer by checkley71(8403)

Question 109996: The demand and supply equations for a certain item are given by
D= -5p+40
S=-p^2+30p-8
Find the equilibrium price.
What does that mean and can you help me? Thank you!
Click here to see answer by scott8148(6628)

Question 110044: Ok this is the last problem I will be submitting for a few days. But I'm really having a hard time with it, and thanks in advance for your help. You guys rock!!!!!!!!!!!
If an object is thrown upward, its height h at time t is given by the equation h(t)=-16t^2+Vot+Ho where
Vo=initial velocity
Ho=initial height
Suppose you drop your venti mocha frappuccino with whip from the roller coaster at cedar point amusement park in sandusky, ohio, when you are at its highest point, which is 420 feet above the ground.
a) what is the initial height of the drink? I'm assuming it's 420 ft?
b )what is the initial velocity?
c) write the equation for the height at time t.
d) how long does it take the chai to reach the ground?
Click here to see answer by bucky(2189)

Question 110040: Ok so this one has me totally frustrated. Thank you in advance for your help, you guys are life savers:)
If you produce x photo calanders, the average cost per calander is given by
A(x)=-0.4x^2+24x+42
---------------
x
What is you average cost, if you produce twenty-five calanders?
Click here to see answer by edjones(7569)

Question 110069: Construction D-4: The outfield fencing for a Little League field forms a circular sector with home plate as the center. The boundaries of the fence,which extends partway into foul territory, create an angle of 105 degrees with home plate. At $22 per foot, how much will the fence cost? Round to the nearest $ 10

diagram given of baseball field: Home plate 105 degree angle.
the boundaries, which extend into foul territory behind home plate 215ft.
$8670 is the answer in the back of the book. I am not clear on how the book arrived to this number.
Click here to see answer by stanbon(57290)

Question 110134: I am stuck on this problem!
At one p.m., 1/5 of the geese fly away. At two p.m., 1/8 of the geese fly away. At three p.m., three times as many geeseflew away as one p.m. There are now 28 geese left at the pond. How many geese were in the original flock?
I tried this equation: X-1/5x-1/8x-3/5x = 28, but get 373.333 or 373 and 1/3rd geese? What am i doing wrong? Thanks
Click here to see answer by stanbon(57290)

Question 110161: The cost for a long-distance telephone call is $0.36 for the first minutes and $0.21 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $3.00.
Click here to see answer by checkley71(8403)

Question 110196: This question is totally confusing, please help, I have no ideal on where to start.
Daniel has $575 in one-dollar, five dollar, and ten dollar bills. All together he has 95 bills. The number of one dollar bills plus the number of ten dollar bills is five more than twice the number of five dollar bills. How many of each type does he have?
Click here to see answer by solver91311(16877)

Question 110131: There is a pole in a lake. 1/2 of the pole is in the ground, another 1/3 of it is covered with water, and 10ft is out of water. What is the toal length of the pole in ft?
Click here to see answer by ptaylor(2048)

Question 110199: This one confuses me, please help!
If a person invests $12,000at 5% how much must be invested at 9% to yield an over all return of 8% ?
Click here to see answer by ankor@dixie-net.com(15646)

Question 110301: The sum of two numbers is 20. Twice one number is 4 more than four times the other. Find the numbers.
Click here to see answer by praseenakos@yahoo.com(507)

Question 110287: a small company produces both bouquets and wreaths of dried flowers. the bouquets take 1hour of labor to produce, and the wreaths take 2 hours. the labor available is limited to 80 hours per week and the total production capacity is 60items per week. write a system of inequalities representing this situaiton, where x is the number of bouquets and is the number of wreaths. then graph the system of inequalities.
Click here to see answer by ankor@dixie-net.com(15646)

Question 110194: I am having a difficult time setting this problem up, please help!
Let X be the units sold,P is the price per unit, and R be the total revenue. If R = XP, and the demand equation for the the product is P = 60-0.0004 X. How many units must be sold to produce revenue of $220,000 ?
Click here to see answer by ankor@dixie-net.com(15646)

Question 110412: In a bottling company, a machine can fill a 2-liter (L) bottle in 0.5 second (s) and move the next bottle into place in 0.1 s. How many 2-L bottles can be filled by the machine in 2 h?
Click here to see answer by stanbon(57290)

Question 110432: Please help me with this word problem.
The base of a ladder is 14 feet away from the wall. The top of the ladder is 17 feet from the floor. Find the length of the ladder to the nearest thousandth.

Thank you!
Click here to see answer by checkley71(8403)

Question 110464: Ok so on this one it gives me a formula but I have no clue how to use it. I would love it if someone would help me. You guys are awesome. Thank you in advance!!!!!
An investment of $10,000 in 1997 in the spartan investment grade bond fund grew to $14,309.61 in 2002. Use the formula from the previous exercise to find the 5-year average annual return.
formula: r=(s/p)^1/n -1
Click here to see answer by stanbon(57290)

Question 110460: Hey guys, here is one that I'm struggling with. Again, thank you for your help.
To estimate the size of the bear populaation on the keweenaw peninsula, conservationists captured, tagged, and released 50 bears. One year later,a random sample of 100 bears included only 2 tagged bears. What is the conservationist's estimate of the size of the bear population.
How do I set this problem up?
Click here to see answer by stanbon(57290)

Question 110527: Adult tickets for a play cost $15 and child tickets cost $6. If there were 33 people at a performance and the theater collected $360 from ticket sales, how many children attended the play?
Click here to see answer by ptaylor(2048)

Question 110655: hey guys! first of all i really appreciate your help. Thank you a bunch!
*Grandstand tickets to a baseball game cost $10 and box-seat tickets cost $25. The total amount of sales was $67,320. Six times as many grandstand tickets as box-seat tickets were sold. How many box-seat tickets and grandstand tickets were sold? Define your variables and write a system of equations that describes this situation. Write your answer in a complete sentence.*
The variables would be: x= grandstand tickets and y= box-seat tickets
and that is all i know!!! so can you please help me out?
Click here to see answer by MathLover1(6625)

Question 110682: In coloradoCreek, Darrell can row 24 km down stream in 6 hours or he can row 18 km upstream in the same amount of time. Find the rate he rows in still water and the rate of the current.
Click here to see answer by Earlsdon(6287)

Question 110685: solve and graph he solution set.
3(x-4)>7x-9
Click here to see answer by stanbon(57290)

Question 110681: the cost of 5 boxes of envelopes and boxes of note paper is $25.95. Two boxes of enveiopes and 6 boxes of note paper cost $22.38. Find the cost of each box of envelopes and each box of note paper.
Click here to see answer by stanbon(57290)

Question 110641: Write in words 0.082
Click here to see answer by doukungfoo(195)

Question 110735: This is a word problem involving linear programming. The problem is:You have 180 tomatoes and 15 onions left over from your garden. you want to use these to make jars of tomato sauce and jars of salsa to sell at a farmstand. a jar of tomato sauce requires 10 tomatoes and 1 onion. a jar of salsa requires 5 tomatoes and 1/4 onion. you'll make a profit of $2 on ever jar of tomato sauce sold and a profit of $1.50 on every jar of salsa sold. the farm stand wants at least three time as many jars of tomato sauce as many jars of salsa. how many jars of each should you make to maximize the profit?
I tried the problem but the part about three times as many jars of tomato sauce threw me off.I was able to come up with the objective function of
P=2t+1.50s
with constraints:
t=>0
s=>0
10t+5s<=180
1t+1/4s<=15
I graphed it and found the feasible region but i dont think its right becuase i don't know what to do with the 3 times as many tomato sauce as salsa. I dont know how to include this. I dont know if it is added as an inequality or divide or part of the objective function. i need help please?

Click here to see answer by stanbon(57290)

Question 110787: [25/(2^3-3)]2
Click here to see answer by MathLover1(6625)

Question 110786: Jose rode his trail bike for 10 miles. Two-thirds of the distance was over a mountain trail. How long is the mountain trail?
Click here to see answer by MathLover1(6625)

Question 110825: One number is 5 times another. If the sum of their reciprocals is 1/5 , find the two numbers.
Click here to see answer by edjones(7569)

Question 110945: Miranda buys exactly 20 fish for $20.00. She pays $4.00/ea for Siamese fighting fish, $.50/ea for Betta fish, and $.25/ea for minnows. She bought at least one of each kind of fish. How many of each type of fish did she buy?
Click here to see answer by scott8148(6628)

Question 110988: Biologists collected a sample of 600 fish form Lake Marie on May 1st and tagged each of them. When they returned on June 1st, a new sample of 800 fish was collected and 10 of these had been previosuly tagged. Use this experiment to approximate fish popultion of Lake Linda.
Click here to see answer by stanbon(57290)

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