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

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

Question 500127: Differentiate between a function and a linear function.
Click here to see answer by oberobic(2304)

Question 500158: A dehydrated patient needs a 6.8% saline IV. Unfortunately, the hospital only has bags of 4% and 7% saline solutions. How many liters of each of these solutions should be mixed together to yield 3 liters of the desired concentration?
x=4% saline solutions
y=7% saline solutions
x+y=3
.04x+.07y=.068
x=3-y
.04(3-y)+.07y=.068
.12-.04y+.07y=.068
.03y=-.052
y=-1.73
x+-1.73=3
x=4.73
4.73+-1.73=3
3=3
.04(4.73)+.07(-1.73)=.068
.189-.121=.068
.068=.068
Click here to see answer by mananth(12270)

Question 500240: Rowan can row 26km downstream in 2 hours. Returning upstream it takes 4 hours to complete the trip. Find his rate in still water and the rate of the current.
Click here to see answer by geetha_rama(64)

Question 500644: how many liters of gasoline are needed to fill a 13.2 gallon tank? there are about 1.06 quarts per one liter. round to the nearest tenth.
Click here to see answer by josmiceli(9686)

Question 500785: Your action figure "the Mathmagician" has not been selling very well over the last few months. In order to sell the remaining 100 figurines you decided to bundle them with a calculator or a slide rule. Each calculator cost $3 and each slide rule cost $6. The maximum amount you can spend on this venture is $420. Of course, you do not want to buy more than 100 items combined. The profit for each figure with a calculator is $3 and for each figure with a slide rule is $5. Each figure you do not sell costs you an additional $10 disposal fee and every figure not in a bundle will not be sold.
Set up a linear programming problem you can use to maximize the profit. Hint: use 100-x-y for the number of figures not sold
I have
x=calculators
y=slide rules
3x=6y<=$420 Maximum spend on venture
x+y<=100 Buy no more than 100
I can solve the problem, just need help setting up!!
Help!!! THANKS

Click here to see answer by solver91311(16897)

Question 500844: one number is eight more than a second number. Four times the first is 8 less than 5 times the second. Find the numbers.
This is what i have tried
x=8+y
2x=4y-8
2(8+y)= 4y-8
16+2y=4y-8
16+2y-2y=4y-2y-8
16=2y-8
16+8=2y-8+8
24/2=2y/2
y=12
Click here to see answer by Maths68(1474)

Question 500952: The base of a triangle is 5 inches less than the altitude. The area of the triangle is 42 square inches. Find the base in inches.
Click here to see answer by mananth(12270)

Question 501666: A two digit number is three less than seven times the sum of its digits, if the digits are reversed, the number is 18 less than the original number. what is the original number.

Click here to see answer by geetha_rama(64)

Question 501744: A barrel of honey weighs 100 pounds. The same barrel with kerosene in it weighs 70 pounds. If honey is three time as heavy as kerosene, how much does the empty barrel weight?
Click here to see answer by Alan3354(30993)

Question 501812: Christine went shopping and bought each of her nine nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $148.06 on the gifts. How many videos and how many CDs did she buy?
Click here to see answer by jorel1380(2518)

Question 502093: "Emily has nickels, dimes, and quarters in her piggy bank. She has twice as many dimes as nickels and 12 fewer quarters than dimes. The total value of the coins is $9. How many of each coin type does Emily have?" This is what I have tried, but I can't get it to come out right....
nickels = x
dimes = 2x
quarters = 2x-12
Am I anywhere near the right answer?
Click here to see answer by lwsshak3(6509)

Question 501906: Show that there is only one set of different positive integers, x,y,z that
1= 1/x+1/y+1/z
ie 1 can be expressed as the sum of the reciprocals of the 3 different positive integers in only one way.
Deduce that if n is any odd integer greater than 3, then i can be expressed as the sum of n reciprocals of different positive integers.
For which even integers is this possible? Justify your answer

Click here to see answer by Edwin McCravy(8909)

Question 502319: Phyllis invested 39000 dollars, a portion earning a simple interest rate of 4 percent per year and the rest earning a rate of 6 percent per year. After one year the total interest earned on these investments was 1980 dollars. How much money did she invest at each rate?

Click here to see answer by geetha_rama(64)

Question 502959: math, the number of boys in eighth grade is 16 less than twice the number of girls. there are 68 students in eighth grade. how many are girls.
Click here to see answer by Maths68(1474)

Question 503044: Wal-Mart sells thermometers ($2) and hot-water bottles ($6). Total sales for these two items during the month of January $1,200. There were 7 times as many thermometers as hot-water bottles. How many of each did they sell?
Click here to see answer by Sarpi(32)

Question 503040: Honda day shift produced 4 times as much as shift 2. The total production for the month was 5,500 cars. How many did each shift produce?
Click here to see answer by Sarpi(32)

Question 503478: One number is seven times another. If their difference is 18, what are the numbers?
Click here to see answer by oberobic(2304)

Question 503507: the selling price of a pair of pants is $34. If the store paid $8 less for the pant, find the price that the store pay.
Click here to see answer by Maths68(1474)

Question 503548: Greetings.
Anthony Vandorpe here
I am working on a math word problem in the category of systems of linear equations.
Here is the general form of the question they gave me:
there are 2 runners, if they run towards each other, the time elapsed is 12 mins, and the distance is 2 miles presumably they meet at some point in that 2 mile distance).
If they start running in the same (at the same starting point?) direction, the faster runner will overtake the slower runner in 2 hours.
This may seem like a simple one to solve, in addition, once I get the 2 linear equations placed in standard form, I am to solve for the variables, and find I think, the running rate of the faster runner and the running rate of the slower runner. I just don't know how to set up this one. I would appreciate your help. Best regards, Anthony C. Vandorpe
Click here to see answer by stanbon(57361)

Question 503654: if the score of a standardized test declines 1.18 per year since 1966, the average score was 542 in 1966, how would i write a linear equation to estimate the score,s, in terms of x years after 1966?
Click here to see answer by stanbon(57361)

Question 503738: 2 men and 5 boys can do piece of work in 4 days , while 4 men and 4 boys can do in 3 day. how long would it take one man alone to do it and how many days would it take one boy alone to do it

Click here to see answer by Edwin McCravy(8909)

Question 503824: Two-thirds of a number increased by three-fourth is five-third, what is the number?
Click here to see answer by nerdybill(6961)

Question 503728: Please help, thank you :)
The monthly value of a share of ACME Corporation, in dollars, since January 2009 are shown in the table below. The values of the table below model the behavior of a quadratic function when it is graphed.
Month.......... Share Value (in dollars)
0...... 55
3...... 16
5...... 0
7...... -8
9..... -8
11.... 0
13.... 16
15..... 40

1. Using the table above, find the quadratic equation that represents the monthly value of a share of ACME Corporation since January 2009. Use the variable x to represent the number of months after January 2009 and the variable y to represent the monthly value.

Answer Box (Type your work and answer below)
Hint: Two row values of the table represent the roots of the quadratic equation. Use these values to find the equation

2. Find the y-intercept. Interpret the meaning of the y-intercept in relation to the given real-life scenario.

Answer Box (Type your work and answer below)
Hint: The y intercept is when the graph intersects the y-axis.

3. Find the x-intercepts. Interpret the meaning of the x-intercepts in relation to the given real-life scenario.
Answer Box (Type your work and answer below)
Hint: The x intercept is when the graph intersects the x-axis.

4. From the equation you found in problem 1, what is the concavity of the parabola? How do you know? What is the lowest or maximum monthly value of a share of ACME Corporation and when did that occur?
Answer Box (Type your work and answer below)
Hint: Find the vertex of the parabola. Remember x represents the number of months since January 2009.

5. Using the quadratic equation you found in problem 1, predict the value of a share of ACME Corporation in October 2010?
Answer Box (Type your work and answer below)
Hint: Remember x represents the number of months since January 2009.
Click here to see answer by ankor@dixie-net.com(15656)

Question 504038: In exercises 57-64 write an equation in the form y=mx+b of the line that is described
#62.the line has the same y-intercept as the line whose equation is 2y=6x+8 and is parallel to the line whose equation is 4x+4y=20.
Click here to see answer by oberobic(2304)

Question 504246: Write the sentance as an equation
Negative 2 times the sum of 3 and 12 is -30
Click here to see answer by stanbon(57361)

Question 504392: students of a class go for an excursion the total expending for food is Rs480.
8 students did not join the excursion hence each had to pay Rs 10 more .how many participated in the excursion.
Click here to see answer by Maths68(1474)

Question 504877: hi
i hope i chose the correct word problem grouping
from a puzzle paperback
a + b + c + d = 15
further
b + c = 6
c + d = 7
all integers >= 1 and no integers are the same value
i tried getting a,b, and d in terms of c
b = 6 - c
d = 7 - c
even
a = c + 2 ?
but my logic circuit fails ...
any lighthouse beam offered to steer my toward the answer
appreciated
as i am adrift and quite stymied
thank you

Click here to see answer by richard1234(5390)

Question 505040: Theresa has 20 coins that are dimes ans quarters. Together they equal $2.75. How many of each type of coin doe she have?
Click here to see answer by oberobic(2304)

Question 505684: I need help with this:
Write the equation in standard form of the line though (-4,6) and with a slope of 1/2
Click here to see answer by jim_thompson5910(28595)

Question 505738: A group of women decided to contribute equal amounts toward obtaining a speaker for a book review. If there were 10 more women, each would have paid $2 less. However, if there were 5 less women, each would have paid $2 more. How many women were in the group and how much was the speaker paid?
Click here to see answer by Maths68(1474)

Question 505896: It takes a man 23 min. longer to jog 5 mi than it takes his son to run the same distance. However, if the man doubles his rate, he can run the distance in 1 min. less than his son. What is the man's rate of jogging and what is the son's rate of running?
Click here to see answer by stanbon(57361)

Question 505940: A container ship left thr Dania Pier and traveled north. An aircraft carrier left four hours later traveling at 30 mph in an effort to catch up to the container ship. After traveling for eight hours the aircraft carrier finally caught up. What was the container ships average speed?
Click here to see answer by stanbon(57361)

Question 506102: How many liters each of a 35% acid solution and a 60% acid solution must be used to produce 70 liters of a 45% acid solution? (Round to two decimal places if necessary.)
Let x=amount of a 35% solution
let y=amount of a 60% solution
Which gives me x+y=70 and 0.35x+0.60y=31.5
What I don't understand is how they got 31.5 in the second equation.
Please help.
Click here to see answer by solver91311(16897)

Question 506147: James has two more sisters than brothers. By how much do James' parents' daughters out number their sons? Please, I need this to be solved by tonight. Thank you.
Is the equation like this: x = brothers, x+2 = sisters
1/x + 1/x+2 = 0?
Click here to see answer by Edwin McCravy(8909)

Question 506239: the difference between twice a number and 9 is 17 what is the number?
Click here to see answer by xdragonfight(116)

Question 506218: Yoneko is y inches tall. Her height and the heights of her two taller sisters are consecutive odd numbers. What is the average or their heights?
Click here to see answer by richard1234(5390)

Question 354027: To buy both a new car and a new house, Tina sought two loans totalling $191,610. The simple interest rate on the first loan was 6.3%, while the simple interest rate on the second loan was 8.8%. At the end of the first year, Tina paid a combined interest payment of $16,681.66. What were the amounts of the two loans?
Click here to see answer by jazzy841(1)

Question 506647: A room has a floor area of 320 square feet. One dimension is 4 feet more than the other. Find the dimensions of the room. Set up a quadratic equation.
Click here to see answer by htmentor(789)

Question 506704: The total cost of a shirt and a sweater is $80.34. If the price of the shirt was $7.43 less than the sweater, what was the price of the shirt?
Click here to see answer by jennywecas(28)

Question 506717: write an equation for the number of tiles t needed to make the nth figure
Click here to see answer by richard1234(5390)

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