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

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Question 393812: A music store is selling compact discs for $11.50 and $7.50. You buy 12 discs and spend a total of $106. How many CD's that cost $11.50 did you buy?
Click here to see answer by ewatrrr(10682)

Question 393976: solve for x:
ax+by=c
Click here to see answer by pie90010(44)

Question 393971: Henry invested $12,000 in new resturant. When hte resutrant was sold two years later, he received $27000. Find his average annual return by solving the equation 12,000(1+r)^(2)= 27000
Click here to see answer by pie90010(44)

Question 394074: 1 tomato plant is 12 inches tall and grows 1 inch per week. Another tomato plant is 6 inches tall and grows 2 inches per week. Write and solve an equation to find when the plants will be the same height.
Click here to see answer by robertb(4012)

Question 394219: A copy machine costs $225 dollars per month plus 1.2cents per copy made. Their are 3 months in which to complete a project. There is a $2400 budget. How many copies can be made?
Click here to see answer by TeishaRenee(14)

Question 394370: How much gold valued at $12 per gram must be mixed with silver valued at $.80 per gram to obtain 20g of an alloy worth $5 per gram?
I set up the equations as s= silver g= gold
s + g = 20
.8s + 12g = 5 I get s= 20.98 g = -.98
This doesn't seem right. Can you please help?
Click here to see answer by lwsshak3(6770)

Question 394504: Please help me solve this word problem:
On a canoe trip, Rita paddled upstream (against the current) at an average speed of 2mph relative to the riverbank. On the return trip downstream (with the current), her average speed was 3mph. Find Rita's paddling speed in still water and the speed of the river's current.
I tried using the formula rate*time=distance, but they don't give you the distance. I would have set up the problem like this if i had the distance:
(r*t)2=d
(r*t)3=d

Click here to see answer by stanbon(57984)

Question 394512: one phone company charges 99 cents per call, plus5 cents per minute. A second phone company charges 8 cents per minute with no connection fee. what length phone calls are cheaper with the first phone company?
Click here to see answer by robertb(4012)

Question 394523: Bernard has 41 coins consisting of nickels, dimes, and quarters, and they are worth a total of $4.00. If the number of dimes plus the number of quarters is one more than te number of nickels, then how many of each does he have?

Click here to see answer by pie90010(44)

Question 394534: Solve: 3k-7 greater than or equal to 4k+2. Write the solution set in set builder notation.
Click here to see answer by robertb(4012)

Question 394632: Explain how you decide to use substitution or elimination to solve a system.
Click here to see answer by richard1234(5390)

Question 394633: Explain how you know when a system has no solution or infinite solutions.
Click here to see answer by jrfrunner(365)

Question 394531: Solve: 3k-7 greater than or equal to 4k+2
Click here to see answer by EricL(29)

Question 394822: Question:
Sam is an automobile manufacturer that specializes in production of an economy model and a midsize model. The price of the economy model in market is $15(,000) and the price of midsize model is $25(,000). Sam has one production plant for both. 1,200 labour hours per day are available in this plant. Production of the economy model requires 20 labour hours per car and production of the midsize requires 40 labour hours per car. Also the total daily demand for cars is 40. Sales manager of Sam wants to allocate car production to maximize daily revenue.
a) Write down your optimization problem.
b) By solving the problem graphically, what is the the solution?
Thank-you in advance.
Click here to see answer by stanbon(57984)

Question 395015: Our local theme park charges $10/day for a visit.
A yearly pass is $80/year
you plan to make 8 visit a year
which plan offers the best deal?
Click here to see answer by Alan3354(31538)

Question 395691: response to the following:

Describe the graph of the quadratic function f(x) = x^2 - 7x - 8 by identifying the following:
the concavity of the graph;
the vertex;
the line of symmetry;
the x-intercepts and y intercept;

Click here to see answer by ewatrrr(10682)

Question 395728: A family is eligible for income help if they meet certain requirements. A family of four cannot make more than $3067 and a family of six cannot make more than $4114. Create a linear model representing the situtation. Find the income limit for a family of two.
Click here to see answer by stanbon(57984)

Question 395932: The problem is:
You have $50.00 in quarters and dimes. There are 250 coins all together. Write the system of equations to use to find the numbers of each type of coin you have?

I'm thinking the systems of equations would be: x + y = 250, 0.1 + 0.25y = 50
Click here to see answer by stanbon(57984)

Question 395996: how do you write 0.35 less than twice a number when the number is (n) in an expression?
Click here to see answer by stanbon(57984)

Question 396036: Joseph took 20 minutes to drive his boat upstream to his favorite fishing spot. Coming back later that day, at the same boat speed, took him 15 minutes. If the currnet in that part of the river is 5 mph, what was his boat speed?
Click here to see answer by mananth(12270)

Question 396075: Joe and Sam have received walkie-talkies for their birthdays. If they leave from the same point at the same time, Joe walking north at 2.5 mph and Sam walking east at 3 mph, how long will they be able to talk to each other if the range of the walkie-talkies is 4 mi. Round your answer to the nearest minute.
Click here to see answer by mananth(12270)

Question 396192: How do I set up a formula to the problem: Two planes leave Los Angeles at the same time. One heads south to San Diego, while the other heads to San Fransisco. The San Diego Plane flies 50 mph slower than the San Francisco plane. In 1/2 hour, the planes are 275 miles apart. What are their speeds? I know rate times time equals distance. So how would the equation be set up on this problem with the planes being 275 miles apart going different speeds?
Click here to see answer by CharlesG2(828)

Question 396333: I cant figure out how to put this in a correct linear equation.
The total cost of a pair of pants and a belt was $70.93. if the price of the pair of pants was $2.93 less than the belt, what was the price of the pair of pants?
Click here to see answer by rfer(12731)

Question 396386: Kids tickets are $4 and adults are 7$ the scool club bought 20 tickets, total was $101. how many tickets did they buy??
Click here to see answer by tsumrell(1)

Question 396781: Two mechanics worked on a car. The first mechanic worked for 5 hours and the second mechanic worked for 15 hours. together they charged a total of $1500. What was the rate charged per hour by each mechanic if the sum of the two rates was $130 per hour.
Click here to see answer by ewatrrr(10682)

Question 396810: How do I solve the following:
The three angles in a triangle always add up to 180 degrees. If one angle in a triangle is 72 degrees and the second is 2 times the third, what are the angles?
Click here to see answer by stanbon(57984)

Question 397089: The sum of 3 numbers is 49. The 2nd number is 5 minus 2 times the 1st number. The 3rd number is 6 minus the 1st number. What are the numbers?
Click here to see answer by Sarpi(32)

Question 397341: The sum of two integers is 30. Two times the larger integer is 10 less than five times the smaller integer. Find the integers.
Click here to see answer by ewatrrr(10682)

Question 397884: Four men working together can dig a ditch in 42 days. They begin, but one man works only half-days. How long will it take to complete the job?
-- The answer is 48 days, but how do I get there? Been a 10+ years since I've done a problem like this. Thank you!
Click here to see answer by ankor@dixie-net.com(15747)

Question 397900: A plane flying at 300 mph has a 3 hr head start on a "chase plane" which has the speed of 800 mph. How far from the airport will the chase plane overtake the first plane?
I got 1.8 mi but I have no idea if this is correct.
I set up the equation as such:
900+300(x)=800(x)
Click here to see answer by Alan3354(31538)

Question 397901: If in 5 days a clerk can copy 125 pages, 36 lines/page, 11 words/line, how many pages of 30 lines each and 12 words per line can he copy in 6 days?
-- The answer is 165, but how do I get there? Thank you!
Click here to see answer by ankor@dixie-net.com(15747)

Question 398021: A lab needs to make 500L of a 34% acid solution for a customer. The lab has 25% and 50% acid solutions available to make the order. How many litres of each should be mixed to make the 34% solution? I can't figure out what the two equations are to solve the problem.
Click here to see answer by scott8148(6628)

Question 398274: A man starts walking for the first week and walks 10 miles. Every week he increases by 2 miles. How many miles does he walk by the eigth week? I don't know how to set up the function? I can get the answer but don't know how to set up the function?
Click here to see answer by josmiceli(9819)

Question 398258: the Lakers scored a total of 80 points in a basketball game against the bulls, The Lakers made a total of 37 two-point and three-point baskets.How many two-points did the Lakers make? How many three-point shots did the Lakers make?
Click here to see answer by robertb(4012)

Question 398797: Please help me with this math problem. :)
When you reverse the digits in a certain two digit number you decrease its value by 27.
What is the number if the sum of its digits is 5?
Thank you so much!
Click here to see answer by mananth(12270)

Question 398798: Please answer this math problem. :)
When you reverse the digits in a certain two digit number you decrease its value by 27.
Find the number if the sum of its digits is 3?
Thank you so much!
Click here to see answer by mananth(12270)

Question 398812: Please help with this math problem! :)
Stefans school is selling tickets to a choral performance. One the first day of ticket sales the school sold 4 senior citizen tickets and 3 student tickets for $79. The school took $246 on a second day by selling 12 senior citizen ticjets and 10 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.
Thank you so much!
Click here to see answer by mananth(12270)

Question 398920: In one day, a store sold 8/5 as many DVD's as CD's.The total number of DVD's and CD's sold that day was 273. How many DVD's sold
Click here to see answer by rfer(12731)

Question 399028: What does the graph look like of someone that gets paid at a constant rate?
For example, If Sarah gets paid at a constant rate of $8.40/hour what does the graph look like? (y=total pay, x=#of hours worked)
Click here to see answer by solver91311(17077)

Question 399080: Juliet has a chocie between receiving an $1800 monthly salary from Furniture by Design or a base salary of $1600 and a 4% commission on the amount of furniture she sells during the month. For what amount of sales will the two choices be equal?
Click here to see answer by Tatiana_Stebko(1326)

Question 399085: Soledad worked 48 hours one week and earned a $442 paycheck. She earns time and a half (1.5 times her regular hourly wage) for the hours she works in excess of 40. What is Soledad's regular hourly wage?
Click here to see answer by Tatiana_Stebko(1326)

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