Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)


Question 283007: bought a worm farm for $110.00 and came with 200 worms and 500 worm capsules
each containing about 4 baby worms.He figures he can sell the worms ot but shops for $1.25 per dozen. How many dozen worms sill he have to sell to begin to make a profit?

Click here to see answer by rfer(12660) About Me 

Question 283124: I am having a problem with this problem. Can you please help me?
The perimeter of a triangle is 70cm. The longest side is 4cm less than the sum of the other two sides. Twice the shortest side is 9cm less than the longest side. Find the length of each side of the triangle.

Click here to see answer by richwmiller(9135) About Me 

Question 283125: Tickets for one show on the Harlem Globetrotters '2006 "Unstoppable" Tour cost $14, $20, or, for VIP seats, $50. So far, five times as many $14 tickets have been sold as VIP tickets. The number of $14 tickets is 15 more than the sum of the number of $20 tickets and the number of VIP tickets. Sales of all three kinds of tickets total $11,700. how many of each kind of ticket have been sold?
Click here to see answer by richwmiller(9135) About Me 

Question 283286: Solve this word problems algebraically using one variable.
After a 25% reduction, a picnic table is on sale for $120. What was the regular price?
CODE:
EQUATION:
SOLUTION:

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Question 283221: if two is added to a number and the sum is tripled, the result is 20 more than the number
Click here to see answer by mananth(12270) About Me 

Question 283556: At a fair,tickets for adults cost $6. tickets for students cost $3. which expression could be used to calculate the total cost for any number of adult(a)and student(s)tickets?
Click here to see answer by checkley77(12569) About Me 

Question 283875: I am having trouble figuring out this math problem. I dont want the answer only how to solve it. 1.James’ Burger and Shakes first opened in 1950 selling hamburgers for $0.25. In 2010, the price of a burger was now $3.25.
a.On average, how much did the price of a burger increase per year? Show work to receive credit.
The answer for this one I have already figured out 5 cents increase per year

b.Let x represent the number of years after 1950 (e.g. for 1951 then x = 1). What is the cost y of a hamburger when x = 0? THIS ONE I DONT KNOW WHAT FORMULA TO USE TO FIGURE IT OUT....

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Question 284149: Fruit drink A consists of 6% pure fruit juice and drink B consists of 15% pure fruit juice. How much of each drink should you mix together to get 4 L of a 10% concentration of fruit juice?
Thank you!

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Question 284323: Grand Lake Furniture Company makes two
types of picnic tables, rectangular and hexagon. The
hexagon table takes 4 hours to make and 2 hours to
finish. The rectangular table takes 3 hours to build
and 1 hour to finish. The company can devote 240
hours to building the tables and 100 hours to finish
the tables. Each hexagon table sold yields a profit of
$7 and each rectangular table is sold for a profit of
$5. Grand Lake Furniture Company has hired you
as a consultant to determine the number of each
type of table to make in order to maximize profit.
They would like the report to illustrate the solution
using linear programming techniques including a
graph of the problem.

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Question 284470: I am trying to figure out how to predict the height of an orange tree that produces 88 pounds of oranges, using the slope-point equation.

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Question 284543:
Solve the problem.
After two years on the job, an engineer's salary was $45,000. After seven years on the job, her salary was $60,000. Let y represent her salary after x years on the job. Assuming that the change in her salary over time can be approximated by a straight line, give an equation for this line in the form y = mx + b.




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Question 284582: Your teacher is giving a test worth 200 points. There is a total of 30 five-point and ten-point questions. How many five-point questions are on the test?
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Question 284608: Please help! A rectangular pool that is 20ft. long and 25ft. wide is to be surrounded by a concrete walk of uniform width. If the owner can only afford to pay for enough concrete to create a total walk area of 504 sq. ft., what is the width of this walk?
Click here to see answer by mananth(12270) About Me 

Question 284658: The perimeter of a rectangle is 160 ft. One fourth the length is the same as twice the width. Find the dimensions of the rectangle.
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Question 284667: Working alone, it takes Emily seven hours to dig a 10ft by 10ft hole.
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Question 284677: Mary, Megan, Molly sold magazine subscriptions to raise money for playground equipment. Megan sold 9 more subscriptions than Mary. Molly sold 3 less than twice as many subscriptions as Mary. If together they sold a total of 66 magazine subscriptions did each girl sell?
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Question 284674: find three consecutive intergers such that the sum of three times the middle integer and five times the smaller integer is the same as seven times the larger integer
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Question 284728: 1.A hotel has 180 rooms.Those with kitchen facilities rent for $125 per night and those without kitchen facilities rent for $100 per night.On a night, when the hotel was completely occupied, revenues were $19,625.How many of each type of room does the hotel have?(Set up a system of equations and then solve.)
2.A PHYSICIAN PRESCRIBES medication 0.5 grams per dose,4 times a day,for 5 days.You have to order the medication for the inpatient.The pharmacy carries this medication in 250 milligram capsules.How many capsules should you order for five days? Show work.

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Question 284750: A truck can be rented from company A for 70.00 per day and .20 cents per mile. Company B charges 50.00 per day and .60 cents per mile. How many miles must be driven in a day for company A to be a better deal than company B?
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Question 284750: A truck can be rented from company A for 70.00 per day and .20 cents per mile. Company B charges 50.00 per day and .60 cents per mile. How many miles must be driven in a day for company A to be a better deal than company B?
Click here to see answer by checkley77(12569) About Me 
Question 284750: A truck can be rented from company A for 70.00 per day and .20 cents per mile. Company B charges 50.00 per day and .60 cents per mile. How many miles must be driven in a day for company A to be a better deal than company B?
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Question 284866: factor by grouping 3-3x+x^2-x^3
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Question 284964: Nicky said "you'll never guess my numbers! Their sum is 12 and their difference is 26." are there two such numbers? If so, what are they?

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Question 284972: Between 1985 and 2000, the population of a city decreased by approximately 3% each year. In 1985 there were 450,000 people. What was the population in 2000?
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Question 285369: If 4 apples and 2 oranges equals $1 and 2 apples and 3 orange equals $0.70, how much does each apple and each orange cost? There are no quantity discounts.
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Question 285550: Roger, Will, Jacob sold magazine subscriptions to raise money for playground equipment. Will sold nine more subscriptions than Roger. Jacob sold three less than twice as many subscriptions as Roger. If together they sold a total of 66 magazines subscriptions, how many subscriptions did each boy sell?
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Question 285557: dan has 10% as many quarters as nickels ia a jar. The total amount in the jar is $5.25. How may nickels does dan have?
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Question 285598: there is a school play that has two prices for tickets. adults are 5$ and students are 2$. in total an amount of 900$ is collected for the play and 270 tickets are sold. how many of each type of ticket is sold?
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Question 285640: An equation has only 1 single true answer. True or false? Why or why not? Give an example to support your answer
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Question 285440: Sarah’s two student loans totaled $12,000. One of her loans was at 6% simple interest and the other at 9%. After one year, Sarah owed $855 in interest. What was the amount of each loan?
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Question 285810: A BOAT TRAVELED 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water? what is the speed of the current?
Click here to see answer by checkley77(12569) About Me 
Question 285810: A BOAT TRAVELED 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water? what is the speed of the current?
Click here to see answer by richwmiller(9135) About Me 

Question 285809: what value is y if 5y-8 is twice as big as 3y+5
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Question 285877: Aldo runs 4 miles in 30 minutes. At the same rate, how many miles would he run in 48 minutes.
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Question 285877: Aldo runs 4 miles in 30 minutes. At the same rate, how many miles would he run in 48 minutes.
Click here to see answer by richwmiller(9135) About Me 

Question 286044: The sales representative here tells you they also have two floor plans available, but they only have 42 homes available. The representative tells you that floor plan #1 sells for $100,000 and floor plan #2 sells for $150,000. She also mentions that all the available houses combined are worth $6 million. Write a system of equations that illustrates this situation. Use x to represent floor plan #1 and y to represent floor plan #2.
( I think the equations would be x + 100,000 = 6,000,000 and y + 150,000 =6,000,000 But im second guessing myself.)

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Question 286043: The sales representative informs you that there are two floor plans still available, and that there are a total of 63 houses available. The sales representative later indicates that there are six times as many homes available with the second floor plan than the first. Write a system of equations that illustrates this situation. Use x to represent floor plan #1 and y to represent floor plan #2.
(I keep finding myself struggling with these I really have no idea where to start. Thanks in advance for helping me, I really appreciate it, more than you'll ever know!!)

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Question 286085: A Man had a bag of sweets . He gave to his sonone sweet and 1/7 of the remaining sweets. from what was left he gave to his daughter two sweets and 1/7 of the remaining sweets. The two children found that they had the same number of sweets. How many sweets were there in the orignal bag?
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Question 286250: In Florida, when there were 447 boats registered there were 13 manatees killed that year. During a year when there were 719 boats registered there were 47 manatees killed that year. Assuming a linear relationship between boats registered and manatees killed, find a linear equation that describes the number of manatees killed with respect to boats registered.
Click here to see answer by richwmiller(9135) About Me 
Question 286250: In Florida, when there were 447 boats registered there were 13 manatees killed that year. During a year when there were 719 boats registered there were 47 manatees killed that year. Assuming a linear relationship between boats registered and manatees killed, find a linear equation that describes the number of manatees killed with respect to boats registered.
Click here to see answer by dabanfield(803) About Me 

Question 286338: Average movie prices in the United States are, in general, lower than in other countries. It would cost $79.82 to buy 3 tickets in Japan plus 2 tickets in Switerland. Three tickets in Switzerland plus 2 tickets in Japan would cost $75.68. How much does an average movie ticket cost in each of these countries?
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Question 286255: You contacted two local rental companies and obtained the following information for the one-day cost of renting a truck. Company 1 charges 40.95 per day plus 0.19 per miles. And company 2 charges 19.95 per day plus .49 per mile.
Let (n) represent the total number of miles driving in 1 day
A. Write an equation to determine the total cost of renting a truck for a day from company 1.
Answer:
B. Write an equation to determine the total cost of renting a truck for a day from company 2.
Answer:
C. Use the results in part a and b to write an inequality that can be used to determine for what number of miles it is less expensive to rent the truck from company 2.
Answer:
D. Solve the inequality in part C.
Answer:

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Question 286365: A cruise ship is being designed. It can have two types of rooms for passengers-suites and cabins. Each suite can accommodate up to 6 passengers. Each cabin can accomodate up to3 passengers. The maximum number of passengers that the ship can hold is 330. Each suite occupies up to 50m2 of floor space. Each cabin occupies up to 10m2 of floor space. The total amount of floor space occupied by the passenger rooms cannot exceed 2300m2. The weekly income on each voyage from renting the rooms to passengers is $1000 for each suite and $300 for each cabin. How many of each type of rooms should the ship have in order to maximize income, assuming that all the rooms are rented? What is the maximum possible weekly income on each voyage from renting the cabins and suites?
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Question 286444: For what value of k will the pair of equations 3x+4y=12 and kx+12y=30 not have a unique solution?
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Question 286456: Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.4.
With 52 gallons of fuel in its tank, the airplane has a weight of 2432.8 pounds. What is the weight of the plane with 21 gallons of fuel in its tank?

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