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

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Question 589703: A grower has 50 tons of melons in a field and can sell them now at $40 a ton. For each week she waits, the crop will increase by 10 tons, while the price drops by $4 a ton. When should she sell in order to make $2160?
Click here to see answer by htmentor(788)

Question 589992: Sally has a 72% in reading if 100 points are added what is her current grade?
Click here to see answer by Alan3354(30983)

Question 590173: If bradian room is increased by 4 feet then the preimeter is 52 feet
Click here to see answer by mathhelp@(10)

Question 590219: What is divided by 2/3 to get 4/5
Click here to see answer by lwsshak3(6472)

Question 590470: a line with an x intercept of 6 and a y intercept of -6 also contains the point (-5,k)
what is the value of k?
Click here to see answer by stanbon(57250)

Question 590628: I need help with this problem.
A total of $32,000 is invested in 2 municipal bonds that pay 5.75% and 6.25% simple interest. The investor wants an annual interest income of $1900 from the investments. What ammount should be invested in the 5.75% bond?
Click here to see answer by josmiceli(9661)

Question 590666: A tank has supply pipe A and an exhaust pipe B. The pipe A takes 4 minutes less to fill a tank than the pipe B takes to empty it. When both are open, the tank is filled in 24 minutes. Find the time needed for pipe A to fill the tank when pipe B is closed.
Click here to see answer by lwsshak3(6472)

Question 590817: a dress stor is having a cell where all merchindise are 1/4 off. a women buys a dress for 42 dollars what would have been regular price
Click here to see answer by jim_thompson5910(28504)

Question 590643: Wendy is training to run a marathon. Her training for week 1 is 7 miles. She plans to increase her training run by 1.5 miles each week. Write an equation to find the number of miles she will run, M, in terms of the week, w, of her training run. Wendy's goal for her 12th week training run is 26 miles. Will she reach that goal?
Click here to see answer by ankor@dixie-net.com(15639)

Question 590773: Please, could you help me with these word problems.. I just don't know how to write this in the right formula/linear eqation (then when I have this in correct form I know how to solve it) ... Thank you.
Questions:
problem 1.
The sum of two numbers is 16. three times the larger number decreased by the smaller number is 72. find the two numbers

Problem 2.
Kelly is a partner in an Internet-based seed and garden supply business. The company offers a blend of exotic wildflower seeds for $85 per pound and a blend of commmon wildflower seeds for $45 per pound. Kelly is creating a medium-price product by mixing together 26 pounds of the more expensive blend with 5 pounds of the less expensive blend. What will be the price per pound for the new blend?
(the answer should be $78.55)

Click here to see answer by scott8148(6628)

Question 590787: adult tickets cost $8.50 and kids under 12 pay only $8.00. If 54 tickets are sold for a total of $445.00, how many of the tickets were adult tickets and how many were sold to kids under 12
Click here to see answer by mananth(12270)

Question 590922: "Find 3 consecutive odd numbers whose sum is 5 more than twice the next consecutive number."

Click here to see answer by rfer(12652)

Question 591012: A cellular phone company offers several options for using a cellular telephone. One option costs the user $4.95 per month plus $0.59 per minute for each minute the phone is used. Find a linear function for the monthly cost y in terms of the number of minutes x the phone is used. Use your function to find the monthly cost of using the cellular phone for 20 minutes in one month.
Click here to see answer by stanbon(57250)

Question 591344: Between 1980 and 1990, a monthly rent for a one bedroom apartment increased by $20 per year. In 1987, the rent was $350 per month. Find an equation that gives the monthly rent in dollars, y, in terms of the year, t. Let t = 0, correspond to 1980.
Click here to see answer by ankor@dixie-net.com(15639)

Question 591601: You have space in your garden for 55 small flowering bulbs. Crocus bulbs cost $0.35 each and daffodil bulbs cost $0.65 each. Your budget allows you to spend $29.15 on bulbs. How many crocus bulbs and daffodil bulbs can you buy?
Click here to see answer by mananth(12270)

Question 591740: A fire hose shoots water into the air from the ground. The formula h = -4.9t2 + 7t gives the height in meters t seconds after leaving the ground. This motion is called projectile motion and the path is the same as a cannon ball shot out of a cannon or a baseball thrown in the air at 7 meters per second could follow.
a. Does the graph of this equation resemble a U or an upside down U? How did you determine this?
b. Describe what happens the height of a drop of water leaving the hose as time passes?
c. Use the method of your choice to find how long it takes water to travel from the tip of the hose back to the ground.
d. Will the height peak or be at a low during the middle of the time the water is in the air? How do you know?
e. After how many seconds will the peak or low occur?
f. How high will the water be when the peak or low occurs?
g. What are the coordinates of the vertex? How does this number relate to your answers in parts e and f?
h. How many solutions are there to the equation 0 = -4.9t2 + 7t? How do you know?
i. To use the quadratic formula to solve an equation like this, we need three values, represented in your text by a, b and c. In the equation in part h, what are a, b & c?
j. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

Click here to see answer by solver91311(16872)

Question 591609: There are originally 265 foxes and 104 rabbits on a particular game reserve. The fox population grows at a rate of 36 foxes per year, and the rabbits increase at a rate of 65 rabbits per year. Under these conditions, how long does it take for the number of rabbits to catch up with the number of foxes?
Years
How many of each animal will be present at that time?
foxes
rabbits
Thank you for your help!

Click here to see answer by ankor@dixie-net.com(15639)

Question 476425: Using systems of linear equations of elimination how would i solve the following?

Lung Cancer: In 2005, 185,000 new cases of lung cancer were reported. There were 20,000 more new cases for men than for women. How many new cases of lung cancer were there for men and for women?
Click here to see answer by gshyt(1)

Question 592255: One day Ayaan covered a distance of 24 km at x km/hr and another 40 km at y km/hr. Next day he covered 18 km at x km/hr and another 48 km at y km/hr. If each day he took 9 hours to complete his journey, find the corresponding values of speed of x and y.
Click here to see answer by ankor@dixie-net.com(15639)

Question 592581: The length of a rectangle is 8 inches more than three times the width. The perimeter is 72 inches. Find the length and width.
Click here to see answer by solver91311(16872)

Question 592881: Assume there is a linear relationship:
Renting a boat for 2 days costs $66. Renting the boat for 5 days costs $150.
a) write a linear equation using days and cost
b) Use equation to find the cost of renting a boat for 9 days
Click here to see answer by solver91311(16872)

Question 592957: Question--Leo Held a Garage Sale. He Priced All The Item For Either a Dime or a Quarter. His Sales Totaled Less Than $5.00.
okay so thats the question i already have what the linear equation is but then it asks whats the maximum number of items that he could have sold for a quarter. I really need help I've been on this problem for a while. Thank you. Also if there is something I could Explain a little better please tell me. This is my first time on here.
Click here to see answer by ankor@dixie-net.com(15639)

Question 593009: A quiz is worth 40 points. You want a 35 point average for all 5 quizzes. You already took 4 squizzes wit?h scores of 32,38,36 and 33. What must your score be on your final quiz to reach your average
Click here to see answer by josmiceli(9661)

Question 593510: The sum of the digits of a three-digit number is 12. The tens digit is two times the hundreds digit. The sum of the units and tens digits is three times the hundreds digit. Find the number.
Click here to see answer by mananth(12270)

Question 593592: A beaker has an inner radius of 7 centimeters. How high h ( to the nearest 0.01centimete4r) should a beaker be filled if we need to measure 885 cubic centimeters of a solution with an error of 5 cubic centimeters or less?
Click here to see answer by Alan3354(30983)

Question 593672: Dennis takes care of private swimming pools. He charges $40 to travel to a home and then $45 per hour. The equation t = 40 + 45h models the total charge t for h hours of service. Which ordered pair (h, t) is NOT a solution for the equation?
Click here to see answer by jim_thompson5910(28504)

Question 593904: I am having trouble with the setup this question.
A food server examines the amount of money earned in tips after working an 8-hour shift. The server has a total of $191 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 53. The number of $5 bills is 4 times the number of $10 bills, and the number of $1 bills is 1 less than twice the number of $5 bills. Write a system of linear equations to represent the situation. Then use matrices to find the number of each denomination.
I have set up for the equations, where a =$1 bills, b=$5 bills, c=$10 bills and d=$20 bills
a + b + c + d =53
a + 5b +10c +20d =191
0 + b - 4c + 0 = 0 from the relationship b=4c
a - 2b + 0 + 0 = -1 from the relationship a=2b-1
I have tried solving it a couple of different ways, and I keep getting to a point that it doesn’t work. Do I have this set up correctly or am I missing something?

Click here to see answer by AnlytcPhil(1276)

Question 594003: Please help...these word problems are very humbling for me...
Average movie prices in general are lower in the United States than in other countries. It would cost $81.35 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $77.05. How much does an average movie cost in each of these countries?
I really appreciate your help...thank you...

Click here to see answer by Edwin McCravy(8882)

Question 594091: Computers manufactured by a certain company have a serial number consisting of a letter of the alphabet followed by a four-digit number. If all the serial numbers of this type have been used, how many sets have already been manufactured?
Click here to see answer by jim_thompson5910(28504)

Question 594490: a catering company is setting up tables for an event that will host 764 people. when they set up the tables they need 2 forks for each child and 5 forks for each adult. if the company ordered 2992 forks, how many adults and how many children will be attending the event?
Click here to see answer by richwmiller(9135)

Question 594781: Side A of a triangle is twice side B. Side C is 2m shorter than side A. The perimeter is 98m. Find the length of each side.
This is what is was working on, but at the end, when I added up the sides, they did not equal 98m.
A + B + C = Perimeter
A= 2B, B= B, C= A-2 or 2B - 2
2B + B + 2B - 2 = 98
5B = 100
B = 25m
Therefore, 98 = 50 + 25 + 48, but it doesn't
A B C
Can you explain, please?
A B C
Click here to see answer by scott8148(6628)

Question 594855: Andy is twice as old as Kate. In 6 years, their ages will total 60. How old is each now?
This is what I did. However, when I did the math for how old A and K are NOW, it didn't work out.
Let Andy = A
Let Kate = K
A = 2K
2K + K = 60
3K = 60
K = 20
Kate will be 20 and Andy will be 40 in 6 years.
Now they are: Kate = 20 - 6, Andy = 40 - 6
Kate is 14 now and Andy is 34 now.
HOWEVER, if this is true, Andy is NOT twice as old as Kate.
I don't understand.
Click here to see answer by Alan3354(30983)

Question 595537: Seven times a number is the same as 12 more than 3 times the number. Find the number.

Click here to see answer by math-vortex(472)

Question 595957: I need help figuring out a problem. I know the number of hours workd for two employees and what the total amount was for payroll. I need to back into how much they made per hour. Can you help me?
Click here to see answer by scott8148(6628)

Question 596064: 0.3x-0.4=0.2x+7

Click here to see answer by jim_thompson5910(28504)

Question 596089: A 21 ft board is cut into two pieces. The shorter piece is 5 ft than the longer piece . What is the length of the longer piece?
Click here to see answer by math-vortex(472)

Question 596151: For a special event at the TCR spring fest, the cost of 3 adult tickets and 4 student tickets was $84 and the cost of 4 adult tickets and 2 student tickets was $62. find the admission price for an adult ticket and for a student ticket at the spring fest.
Click here to see answer by josmiceli(9661)

Question 596472: A pharmacist wants to make 18 ml of a 6% hydrogen peroxide solution. How many mls of 5% hydrogen peroxide must he mix with 7% hydrogen peroxide to make the desired solution?
Click here to see answer by josmiceli(9661)

Question 596589: Sue drove her car at 25 mph for the first part of a trip and then changed her speed to 55 mph for the second part. If the entire trip is 295 miles and took 7 hours, how many hours are traveled at each speed?

Click here to see answer by lwsshak3(6472)

Question 596766: A number squared plus three times the number squared equals 81, find the number.
Click here to see answer by unlockmath(1599)

Question 597014: terry did all 25 problems on his test and got an 85. scores are computed by giving 4 points for each right answer and subtracting one for each wrong answer. how many problems did terry get right and wrong?
Click here to see answer by math-vortex(472)

Question 597012: how could you cut a 50- meter rope into three pieces- two of the same length and the third, 8 meters longer than the other two?
Click here to see answer by josmiceli(9661)

Question 597049: the perimeter of the rectangle is 50 write a linear equation in two variables, to find x when y is 20
Click here to see answer by racoon(5)

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, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830