Questions on Word Problems: Evaluation, Substitution answered by real tutors!

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Tutors Answer Your Questions about Evaluation Word Problems (FREE)


Question 165788: Hello, I'm trying to help my 5th grader with a word problem, it's below, will much appreciate it , if you would help, got your site from google. This problem is due tom. morning.Thank you

Ivan, Zoe, Denys and Ethan wanted to divided up a big old pickle 30 feet long.
Denys wants twice as much as Ivan does. Zoe wants twice as much as Denys does, but half as much as Ethan does.
How should they divide the pickle?

Click here to see answer by Fombitz(2113) About Me 
Question 165788: Hello, I'm trying to help my 5th grader with a word problem, it's below, will much appreciate it , if you would help, got your site from google. This problem is due tom. morning.Thank you

Ivan, Zoe, Denys and Ethan wanted to divided up a big old pickle 30 feet long.
Denys wants twice as much as Ivan does. Zoe wants twice as much as Denys does, but half as much as Ethan does.
How should they divide the pickle?

Click here to see answer by Edwin McCravy(2922) About Me 

Question 166729: I really need some help solving this word problem. I have answered parts a & b but not sure if the answers I gave are correct. Part c. I do not understand how to do. Would someone mind please helping me out on this one...I would so appreciate it lots!!! Thank you!

****I answered part a. as ....x+y(3)=56 and part b. as ....x+y=56
not sure if these are the correct answers but these answers are needed in order to answer part c. and part d*****


1. Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city
a) The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation.
b) The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a.
c) Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.
d) What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this problem? Where would the lines intersect if you solved the system by graphing?


Click here to see answer by vleith(1977) About Me 

Question 167252: arielle has a collection of grasshoppers and crikets.she has 561 insects in all. the number of grasshoppers is twice the number of crickets.find the number of each type of insect that she has
Click here to see answer by Mathtut(3670) About Me 

Question 167258: Pam is playing with red and black marbles. the number of red marbles she has is three more than twice the number of black marbles she has. she 42 marbles in all. how many red marbles does pam have?
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Question 167534: In order to achieve maximum results from aerobic exercise, one should maintain ones heart rate at a certain level. A 45 year old woman with a resting heart rate of 85 beats per minute should keep her heart rate between 139 and 157 beats per minute while exercising. She checks her pulse for 10 sec while exercising. What should the number of beats be?
Click here to see answer by Mathtut(3670) About Me 

Question 168015: liza sells candies and chocolates. she had already 25 chocolates which costs 2.25 pesos each and a number of candies which costs 1.75 pesos each. all in all, she gained an amount of 87.75 pesos. how many candies did liza sell?
Click here to see answer by jojo14344(1483) About Me 

Question 168393: A pastry chef created a 50 ounce sugar solution that was 34% sugar from a 20% sugar solution and a 40% sugar solution. How much of the 20% sugar solution and how much of the 40% sugar solution were used?
Click here to see answer by Mathtut(3670) About Me 

Question 168932: The weight of an object varies inversely with the square of the distance from earth's center (3,960 miles). A man weighs 250 lbs on the surface of the earth. How much would he weigh in an airplane flying at 30,000 ft?
Click here to see answer by vleith(1977) About Me 

Question 169032: John is twice as old as Tom. In three years Tom will be 11 years old. How old will John be in three years?
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 169619: I could really use help on the below problem. If any one can help me I would appreciate it very much. It has to do with forming two equations and solving the system of equations either by elimination or substitution method.

Q. You recently started the paperwork to purchase your new home, and you were just notified that you can move into the house in 2 weeks. You decide to hire a moving company, but are unsure which company to choose. You search online and are interested in contacting two companies, Heavy Lifters and Quick Move, to discuss their rates. Heavy Lifting charges an $80 fee plus $35 per hour. Quick Move charges $55 per hour with no additional fees.
a) Which mover provides a better deal for 2 hours of work? How did you arrive at your answer?
b) Which mover provides a better deal for 15 hours of work? How did you arrive at your answer?
c) For what values h (hours) does Quick Move offer the better deal? Express your answer as an inequality. Explain how you reached your answer.

Click here to see answer by Mathtut(3670) About Me 

Question 170229: evaluate {3(7 - 9) + 16}^3 ÷ (-5) - 2^4
Click here to see answer by Alan3354(6092) About Me 

Question 170401: 2. As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.
a) The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively.
b) The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in part a.
c) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.

Click here to see answer by Mathtut(3670) About Me 

Question 170702: The sum of two numbers is 175. The larger number is three more than three times the smaller number. Write a system of equations, and solve the system to find the numbers.
Click here to see answer by jojo14344(1483) About Me 

Question 172056: Need help please
1.solve for k
-3 - 2k = -2
_______
5

3.Solve for y
16= y-5
_____
4

W15.anda missed 8 out of 64 questions on a test.What percent of the test did she get right?

23.Recent survey of high school students reported that 43% of them kept their money in a savings account, while 13% used a checking account. If 1,500 students were interviewed for the survey, how many survey responders DO NOT have money in either a checking or savings account?


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Question 172735: Hockey Teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 69 points. They won 12 more games than they tied. How many wins and how many ties did the team have?
How many wins __
How many ties __
I'm sorry, but i am just drawing a total blank today. Thank you all.

Click here to see answer by stanbon(26295) About Me 

Question 173110: Harvey has some 1 dollar bills and some 5 dollar bills. In all he has a total of 6 bills worth 22 dollars. Let x represent the number of 1 dollar bills and y represent the number of 5 dollar bills. Write a system of equations the information and use to determine how many of each denomination Harvey has.
Click here to see answer by stanbon(26295) About Me 

Question 173389: The formula for the height of a ball as a function of time is given by the equation h = -16t^2 + vt + h, where h is the height of a ball in feet, v is the initial velocity of the ball in feet per second, h is the initial height of the ball in feet, and t is the time in seconds after the ball was thrown.
If a ball is thrown from an initial height of 5 feet at an initial velocity of 20 feet per second, what is its height after 1 second?

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Question 173444: The height in feet for a bal thrown upward at 48 feet per second is given by s(t)=-16t^2+48t, where t is the time in seconds after the ball is tossed what is the maximum height that the ball will reach?
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Question 173665: How do you solve by the addition-or-subtraction method.
12a-5b=18
15a-5b=30

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Question 173765: the sum of two numbers is 52. twice the first number is 17 more than the second. find the numbers.
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Question 173765: the sum of two numbers is 52. twice the first number is 17 more than the second. find the numbers.
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Question 173781: Jimmy the Rat invested part of $20,000 at 12% annually and the rest at 14%. The total income from these investments is $2560. How much did Jim invest at each rate?
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Question 173888: The sum of two numbers is 15. Three times one of the numbers is 11 less than five times the other. Find the numbers.
Click here to see answer by Mathtut(3670) About Me 

Question 173958: 1. The perimeter of a rectangle is 120 feet. The width of the rectangle is
equal to one half the length. Find the length and width of the rectangle?
2. The area of a rectangle is 576msqaured. The length of the rectangle is 4 times greater than the width. What are the length and width of the rectangle?

3, One integer is 8 less than another integer. The product of the lesser integer and -5 is 28 more than the greater integer. What are the integers?

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 174452This question is from textbook Algebra 2, Texas Edition
: As a participant in your school's community service project, you volunteer a total of 40 hours over the course of the school year. Your volunteer hours include serving at a soup kitchen, picking up trash at several local parks, and collecting toys for needy children. You spend 4 times as many hours collecting toys as picking up trash, and 2 hours less serving at the soup kitchen than picking up trash.
1. Write a system of equations to represent the given information and solve using the substitution method.
Please help and try to show every bit of work that you can to help me better understand the problem, Thank You! =)
This question is from textbook Algebra 2, Texas Edition

Click here to see answer by nerdybill(2448) About Me 

Question 174550This question is from textbook algebra 1
: My son and I have been trying to solve question 37 on page 380. I believe we need to establish a rate of change for both countries and then use substitution to solve. The problem I'm having is coming up with the two slopes.
Here is the question: In 2000, approximatly 40.3 million tourists visited south america and the caribbean. The number of tourists to that area had been increasing at an average rate of .8 million tourists per year. In the same year, 17 million tourists visited the middle east. The number of tourists to the middle east had been increasing at an average rate of 1.8 million tourists per year. If the trend continues, when would you expect the number of tourists to South America and the caribbean to equal the number of tourists to the middle east?
This question is from textbook algebra 1

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Question 174602This question is from textbook Algebra and Trig
: Members of the Ski Club contributed equally to obtain $1800 for a holiday trip. When 6 members found that they could not go, their contributions were refunded and each remaining member then had to pay $10 more to raise the $1800. How many went on the trip?This question is from textbook Algebra and Trig

Click here to see answer by Mathtut(3670) About Me 

Question 175846: x^2+16x+a=(x+b)^2
^^In the equation above, a and b are constants. If the equation is true for all values of x, what is the value of a?

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Question 176891: During the year, Charles read five more books than twice the number of books read by Frank. If together they read a total of 29 books, how many books did each read? Please include a "let statement".
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Question 178046: Farmer Fran has 47 barnyard animals, consisting of only chickens and sheep. If these animals have 138 legs, how many of each type of animal are there?
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 178042: Juan has 16 coins, all nickels and dimes. This collection of coins is worth $1.15. How many nickels and dimes are there?
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Question 178041: Conrad has a collection of three types of coins: nickels, dimes and quarters. There are five more nickels than quarters but four times as many dimes as quarters. If the entire collection is worth $5.85, how many nickels, dimes, and quarters are there?
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 178044: Tickets to the school play are $7.00 for adults and $5.50 for students. If the total value of all the tickets sold is $3825 and 100 more students bought tickets than adults, how many adults and students bought tickets?
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 178217: If four out of five doctors prefer fast food, than at a convention of 455 doctors, how many probably ate fast food for lunch? Set up an equation and solve.
thanks thanks

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Question 178313: Mr. Jackson owns a dairy farm that is bordered by a river on one side. He wants to enclose a rectangular pasture that is bordered on one side by a river and on the other three sides by 600 feet of fencing. What must the dimensions of the pasture be in order for Mr. Jackson to get the greates amount of grazing area, and what is the greatest area for grazing?
A=l*w
A=x(600-2x)

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Question 178858: One turkey weighs 3 pounds less than twice another. If the heavier turkey weights 29 pounds, how much does the lighter turkey weigh?
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Question 178855: In a basketball game Kyle scored 4 more than 1/5 as many points as Kurt. If Kyle scored 12 points, how many points did Kurt score?
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Question 178866: The daily payroll for 100 skilled and unskilled laborers is $8320. Each
unskilled laborer earns $64 per day. Each skilled laborer earns $112 per
day. How many unskilled laborers are there? What is the value of the daily
payroll for the skilled laborers.

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Question 179173: pooky eats three cans of cat food each day. how long will 27 cans of food last?
Click here to see answer by Mathtut(3670) About Me 

Question 179320: Please help...i'm so confused..
1) Describe a strategy (maybe with equations) to estimate the number of road signs (not advertisements) on interstate 95 that runs from South Florida to New England. One may assume 1800 miles. How many road signs are there?

5) It is January. You are a CEO or a CFO (pick one) of a company. The company is high tech with 50% engineers. This company designs, produces, and sells expensive products. There are two problems with the company. One is that the present economy is not doing very well (slumping) and products are not selling as well as Sales forecasted. The second is that the product is getting old and new products are required to bring in revenue. New products take about a year to develop and to start seeing revenue. The CEO wants to be at a certain number at the end of the year, but does not want to destroy the company. What would you do

**this is just guesswork...there is no right or wrong answer but i'm still confused.** my professor just want a theory. can u help please.
Make some assumptions

Give reasons to your conclusions


How can your assumptions be improved?


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Question 179890: Joe has x CDs, Penny has y CDs and Jahal has z CDs.
(a) If (x+y)(x+z)=x^2+10x+24, find the values of y and z.
(b) How many CDs should Joe have if the total number of CDs belonging to the three friends is fifteen?

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Question 182210: Mary can clean a house in 6 hours, while John can clean a house in 4 hours. How much time will it take them if they clean it together?
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Question 183621: I am currently taking Algebra 1, and need assistance with the following word problems (that use substitution, of course):
1.)Lisa and Beverly had just $5 to spend for an after-school snack. They could have bought 2 hamburgers and 1 carton of milk with no change back or 1 hamburger and 2 cartons of milk with 40 cents change back. How much does a carton of milk cost?
2.)If you buy six pens and one mechanical pencil, you'll get only $1 change from your $10 bill. But if you buy four pens and two mechanical pencils, you'll get $2 change. How much does each pen and each pencil cost?
3.)One number is 16 more than another. If the smaller number is subtracted from two-thirds of the larger number, the result is one-fourth of the sum of the two numbers. Find the numbers.

Thank you very much! An answer as immediate as possible would be greatly appreciated.

Click here to see answer by stanbon(26295) About Me 

Question 185589: Hello, I'm trying to help my son with his math homework but it's been 30 years since I had to do math and I can't remember enough to help him.
One example of the type of questions he has would be:
tennis consumes 25 calories a minute
cycling consumes 35 calories a minute
The player plays both sports for a total of 50 minutes consuming 1450 calories. How long did he play tennis?
I've been trying to come up with something like 25x + 35y = 1450 but I can't go from there.
I'd be grateful if you could quickly give me some idea how to do the above.
Thanks
John Mullany

Click here to see answer by Alan3354(6092) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630