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

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Question 132353: the sum of 2 numbers is 18. the difference is 10. find the numbers.

Click here to see answer by solver91311(5072)

Question 132353: the sum of 2 numbers is 18. the difference is 10. find the numbers.

Click here to see answer by vleith(1977)

Question 132387: Freeport McMoRan projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of world grain demand. What will world grain demand be in 2010?
Click here to see answer by checkley71(8405)

Question 132452: Write an equation for the line that goes through point (2,-1) and is perpendicular to the line, y=-1/2x+3
Click here to see answer by jim_thompson5910(13787)

Question 132498This question is from textbook Algebra 1
: How do you make a equation that is parellel to a given equation?This question is from textbook Algebra 1

Click here to see answer by checkley71(8405)

Question 132726: A ship off-loaded three different types of high-attitude, high-performance jet engines namely Turbofan, Pulse Jet and Scram Jet. It was found that Turbofan engine weighed 7kgs more than Scramjet engine and Scramjet engine weighed 20kg less than Pulse jet. If the total weight of the three engines is 1248kg, find the weight of each type of engine.
Click here to see answer by ptaylor(1578)

Question 132725: A bus was travelling with 48 passengers. When it arrived at the 1st stop, some passengers got off the bus and 3 people got on the bus. At the next stop half the passengers got off the bus and 7 people got on the bus. There were now 22 passengers on the bus.
1. Write down the equation from the statement
2. Find the number of passengers who came out of the bus as the 1st stop.
Click here to see answer by ptaylor(1578)

Question 132922: Find the two numbers whose sum is 45 and such that one is 4 times as large as the other.
Click here to see answer by jim_thompson5910(13787)

Question 132927: If the numerator and denominator of a fraction are both decreased by three, the fraction becomes 4\5. If the numerator and denominator are both increased by three, the fraction becomes 7\8.
1. Write down two equations from the statement?
2. Solve the equations simultaneously to get the original fraction.
Click here to see answer by ptaylor(1578)

Question 132933: The creekside Theater is putting on a play.The hanson Family bought 5 adult ticketsand 2 child tickets for 129.00. The Rivera family bought 2 adult tickets and 6 cgild Tickets for 107.50.
Write a system of equations to represent the situation.
Then solve the system.How much Does a Adult ticket cost and how much does a child ticket cost.
Click here to see answer by checkley71(8405)

Question 132872: Please help! I cannot figure out how to set this problem up. I have to include the cost function as well. Thank you! Here it is:
An appliance repair service charges $50 to come out for a service call which is applied toward the first 30 minutes of service should a repair be needed. If a repair is needed, the charge of $37 per 30 minutes (after the initial half hour included in the service call charge) for labor and the cost of parts. Write a cost function to determine the amount a customer needing a repair that takes 1.5 hours and requires a $103 part.
Click here to see answer by checkley71(8405)

Question 133038: Two angles are complementary. The sum of the measure of the first angle and half the second angle is 78 deg. Find the measures of the angles.
What is the measure of the smaller angle?
What is the measure of the other angle?
Click here to see answer by stanbon(26259)

Question 132926: Mr Kakololo accumulated a number of shares. He sold 1\5 of his shares to his brother, 1\3 to his cousin and 5 340 which is 2\15 of the original number of shares to his best friend, Lucas.
1. What fraction of shares remained with Mr. Kakololo?
2. How many shares did Mr. Kakololo sell in total?
Click here to see answer by josmiceli(3003)

Question 133162: Determine the slope of the line that goes through each pair of points.
22. (0,4) and (5,0)
Click here to see answer by stanbon(26259)

Question 132909: find a polynmial degree three that when dividing by x-2 has a remainder of 3
Click here to see answer by Nate(3495)

Question 133117: a) A phone company charges $19.00 per month plus $0.06 per call. Find a rational function that expresses the average cost (y) of a call in a month when (x) calls were made.
b)A phone company charges $20.20 per month plus $0.05 per call. How many calls can be made for an average cost of $0.20 per call.
I really just don't understand how to do it and I cannot find any good examples..so I would really appreciate if someone could help :-)
Thanks.
Click here to see answer by oscargut(682)

Question 133163: Find the slope and y-intercept for each line.
28. 3x+5y+10=0
Click here to see answer by vleith(1977)

Question 133223: Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker requires 12 board feet of maple. Write an inequality that limits the possible number of maple rockers of each type that can be made, and graph the inequality in the first quadrant.
Click here to see answer by checkley71(8405)

Question 133219: Draw L1 through (-4,0) and (0,6). What is the slope of any line parallel to L1? Draw L2 through the origin and parallel to L1.
Click here to see answer by vleith(1977)

Question 133364:
The lenght of a rectangle is 4m greather than its width. The perimeter of the rectanlge is 36 m. What are the dimensions of the rectangle?
This is for Algebra 1, word problems systems of linear equations.
Click here to see answer by checkley71(8405)

Question 133269: Solve the following system of equations.
x+7y=5 (1)
x+9-7y (2)
What is the solution of the systems?
Click here to see answer by oscargut(682)

Question 133375: An airplane whose speed in still air is 760 km/h can travel 2000 km with the wind in the same amount of time that it takes to fly 1800 km against the wind. What is the wind speed?
Algebra 1, systems of linear equations
Click here to see answer by vleith(1977)

Question 133374: a birdseed mix that costs $2.45 per poud is mixed with a birdseed mix that costs $2.30 per pound. How much of each type of birdseed mix must be used to have 30 pounds of a birdseed mix that costs $2.35 per pound?
Algebra 1, systems of linear equations
Click here to see answer by stanbon(26259)

Question 133386: A defense attorney charges her client $4000 plus $120 per hour. The formula R=120n + 4000 gives her revenue in dollars for n hours of work. What is her revenue for 100 hours of work? What is her revenue for 101 hours of work. By how much did the one extra hour of work increase the revenue? (The increase in revenue is called the marginal revenue for the 101st hour.)
Click here to see answer by stanbon(26259)

Question 133387: A bookstore manager plans to spend $60 on pens at 30 cents each and pencils at 10 cents each. The equation 0.10x+0.30y=60 can be used to model this situation.
a. What do x and y represent?
b. Graph the equation.
Click here to see answer by vleith(1977)

Question 133410: If you earned an average of $25,000 over your working life and you retire after 2005 at age 62,63, or 64, then your annual Social Security benefit will be $7000, $7500, or $8000. There is a linear equation that gives the annual benefit b in terms of age a for these three years. Find the equation.

Click here to see answer by vleith(1977)

Question 133520: 5 Kg of tea and 8 Kg of coffee cost $58. The price of tea increases by 15% and that of coffee by 10%. The new total is $65.30. What are the new prices for 1 Kg of tea and 1 Kg of coffee?

Click here to see answer by ankor@dixie-net.com(6691)

Question 133530: At maximum speed, an airplane travels 1720 miles against the wind in 5 hours. Flying with the wind, the airplane can travel that same distance in 4 hours. X= maximum speed of plane Y= speed of wind. What is the speed of the plane with no wind?
Click here to see answer by checkley71(8405)

Question 133549: Ann and Betty together have $60. Ann has $9 more than twice Betty's amount. How much money does each one have?
Click here to see answer by edjones(3292)

Question 133542: Bruce has $5.50 in dimes and quarters. He has eight more quarters than dimes. How many quarters does he have?
Click here to see answer by edjones(3292)

Question 133572: One printing machine workes twice as fast as another. When both machines are used, they can print a magazine in 3h. How many hours would each machine require to do the job alone?
Click here to see answer by josmiceli(3003)

Question 133571: It takes my father 3h tpo plow our cornfield with his new tractor. Using the old tractor, it takes me 5h. If we both plow for 1h before I go to school, how long will it take him to finish the plowing?
Click here to see answer by josmiceli(3003)

Question 133699: Solve for each equation.
3x^2+2x+3=4
Click here to see answer by jim_thompson5910(13787)

Question 133698: Solve for each equation.
-2x^2-5x+12=0
Click here to see answer by jim_thompson5910(13787)

Question 133697: Solve each equation by factoring.
2x^2-7x-15=0
Click here to see answer by jim_thompson5910(13787)

Question 133696: Solve each equation by factoring.
-2x^2-7x-15=0
Click here to see answer by jim_thompson5910(13787)

Question 133695: Solve each equation by factoring.
-2x^2-7x-15=0
Click here to see answer by jim_thompson5910(13787)

Question 133668: Jane has a dress shop. She has space for 200 dresses. She sells only red and blue dresses. After reading several fashion magazines she decides to stock her shelves with 34 more blue dresses than red dresses. How many of each should she stock on her shelves?
Click here to see answer by ptaylor(1578)

Question 133673: Wild and Crazy Productions wants to purchase a new CD producing machine. Its cost is $5000.00. If their labor and other unit costs are $5.00 per CD and they can sell the CD for $10.00 each, how many must they manufacture before they pay for their new machine?
Click here to see answer by checkley71(8405)

Question 133769: A high school class wants to raise money by recycling newspapers. The class decided to rent a truck at a cost of $150 for the week. The market price for recycled newspapers is $15 per ton. Write an equation representing the amount of money the class will make based on the number of tons of newspapers collected. Explain what you did to get your answer.
Click here to see answer by solver91311(5072)

Question 133768: A man walks at a pace of 3 miles per hour. After 2 hours he stops for a rest. Let t be time AFTER the rest. Let d be the TOTAL distance traveled since he started. Write an equation linking d and t. Explain what you did to get your answer.
Click here to see answer by ankor@dixie-net.com(6691)

Question 133920: translate each sentence into an equation. If four times the sum of a number and 5 is divided by 3, the result is 16.
Click here to see answer by jojo14344(1483)

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, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240