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

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Question 279402: Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable.
In a chemistry class, 5 liters of a 4%-saline solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?
Click here to see answer by richwmiller(9143)

Question 279486: Joey earns $5 for each care he washes. Write an expression for the number of cars Joey must wash to earn d dollars.
Click here to see answer by bcman8092(7)

Question 279501: A manufacturer purchases a key component used in the production of their product from two different suppliers. (They want to keep their flexibility by maintaining a relationship with both suppliers.) The cost for this key component from supplier A is $5.25 per unit. From supplier B, the component cost is $4.80 per unit. The manufacturer needs 7500 units and has $37,350 available to make the purchase.
A. Set up a system of equations to describe this situation.
B. Solve the system of equations to find the solution.
Click here to see answer by richwmiller(9143)

Question 279508: The sum of two numbers is 52, and their difference is 6. What are the numbers?
Click here to see answer by rfer(12662)

Question 279526: A cosmetologist has a bottle of 7% hydrogen peroxide solution and a bottle of 4% hydrogen peroxide solution. The cosmetologist needs 300 milliliter of a 5% hydrogen peroxide solution. Write and solve a linear system to find how many ML of each solution the cosmetologist needs to mix together.

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Question 279534: In a basketball game, Will scored 26 points, consisting only of three-point shots and two-point shots. He made a total of 11 shots. How many shots of each type did he make?
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Question 279590: Clarence and Stephan went to the amusement park. Clarence rode the water slide 3 times and the roller coaster 3 times for a total $17.70. Stephan rode the water slide 2 times and the roller coaster 3 times for a total of $15.54. How much did each ride cost?
The scenario above can be represented by a system of equations. Show representations that can be used and respond to the question:

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Question 279625: an orchard operator must dilute 11quarts of a 60% insecticide solution by adding water. How many quarts of water should be added to get a mixture of 2% insecticide?

Click here to see answer by richwmiller(9143)

Question 279709: An electrician, a carpenter, and a plumber are hired to work on a house. The electrician earns $21 per hour, the carpenter $19.50 per hour, and the plumber $24 per hour. The first day on the job, they worked a total of 21.5 hours and earned a total of $469.50. If the plumber worked 3 more hours than the carpenter did, how many hours did each work? Write the system of equations.
Click here to see answer by stanbon(57361)

Question 279960: juan donates 10% of his salary to his church. he earns 3500 per month. he used to earn $3200, an he gave the same dollar amount. what percent of his income does he donate to the church when he earned $3,200?
Click here to see answer by josmiceli(9686)

Question 279961: A patch of measuring 6 feet by 6 feet requires 2 ounces of fertilizer. How many pounds should be used on a lawn that measures 30 feet by 75 feet?
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Question 280112: The Brooklyn Bridge was built 54 years before the Golden Gate Bridge. In 1983 the Golden Gate Bridge was 23/50 the age of the Brooklyn Bridge. What year was each bridge built?
Click here to see answer by CharlesG2(828)

Question 280245: consider the standard form of quadratic equation y=ax^2+bx+c. how would you investigate the effect of the "c" on the location and/or shape of the parabola?
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Question 280277: A girl is twice as old as her sister .four years hence,the product of their ages will be 160.find their present ages
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Question 280287: How many quarters and half dollars would it take to make up $9.50 if you only had 30 coins?
Click here to see answer by Inkyvoyd(17)

Question 280371: Q. find the missing coordinate, "x" if you know that the parabola passes through the two "mirror points" (2,-4) and (x,y)?
I worked on the above question and my answer was y=-4, but I am not sure is it correct or not.
Click here to see answer by richwmiller(9143)

Question 280497: Q. find the missing coordinate, "x" if you know that the parabola passes through the two "mirror points" (2,-4) and (x,y)?
Click here to see answer by Theo(3464)

Question 280555: A carpentry shop makes dinner tables and coffee tables. Each week the
shop must complete at least 9 dinner tables and 13 coffee tables to be
shipped to furniture stores. The shop can produce at most 30 dinner tables
and coffee tables combined each week. If the shop sells dinner tables for
$120 and coffee tables for $150, how many of each item should be produced
for a maximum weekly income? What is the maximum weekly income?
Click here to see answer by richwmiller(9143)

Question 280690: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $15 one-time activation fee and charges 11 cents a minute. The second plan has no activation fee and charges 15 cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal?
Click here to see answer by rfer(12662)

Question 280817: A dj must play 14 commericals during an hour of play time. After 1 hour and 11 minutes the dj played how many 30 second commericals and how many 60 second commericals?
Click here to see answer by oberobic(2304)

Question 280990: Darren and Doug must paint the 792-foot fence that encircles their home. Because Darren is older, he agreed to paint 20% more than Douglas. How much of the fence will each boy paint?
Click here to see answer by brucewill(101)

Question 281170: Please help me solve this word problem:
The Future Teachers of America Club at Paint Branch High School is makin a healthy trail mix to sell to students during lunch. the mix will have three times the number of pounds of raisins as sunflower seeds. Sunflower seeds cost $4.00 per pound, and raisins cost $1.50 per pound. If the group has $34.00 to spend on the raisins and sunflower seeds, how many pounds of each should they buy?
Click here to see answer by josmiceli(9686)

Question 281199: I have a math problem and I'm not sure how to begin...
A candy store sells boxes of candy containing caramels and cremes. each box sells for 12.50$ and holds 30 pieces of candy (all pieces the same size). If the caramels cost .25$ and the cremes cost .45$ to produce, how many of each should be placed in the box to profit 3$.
I started with .25(x) + .45(y) + 3 = 12.50.
I started by solving x (with x yielding an equation to help solve y), which I thought would yield the answer for y. After solving y, then I could solve x. Didn't work. Not sure how to get started.
Any help would be appreciated.
Click here to see answer by richwmiller(9143)

Question 281308: i dont know how to do: The Rocket Coaster has 15 cars, some that hold 4 people and some that hold 6 people. There is room for 72 people altogether. How many 4-passenger cars are there? How many 6-passenger cars are there?
Click here to see answer by stanbon(57361)

Question 281556: if 3 is added to a number and this sum is doubled, the result is 2 more than the number. find the number
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Question 281583: John is three years older than Sue who is twice the age of David. write an expression for john's age in terms of D , David's age .
Click here to see answer by Mathematicians(84)

Question 281583: John is three years older than Sue who is twice the age of David. write an expression for john's age in terms of D , David's age .
Click here to see answer by JBarnum(2044)

Question 281584: The perimeter of a triangle is 297 mm . If the lengths of the sides are consecutive odd intergers , find the lengths of the sides .
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Question 281591: (-2x^6y^5)^3 evaluate expression for x = 1/3 and y = 3 .
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Question 281697: I'm having problems solving this word problem. I need two different plans with equations. I can't figure out the equations for this problem. Is x the same for both equations? Select an investment plan for a family with a child that is x years old and has y dollars to investment.
Click here to see answer by stanbon(57361)

Question 281733: Farmer wants to buy cows, pigs and chickens. He has $100 and wants to buy total of 100 combined animals. Cows are $10. Pigs are $3. Chickens are $.50. How many of each animal should he buy to get 100 total animals for $100?
Click here to see answer by josmiceli(9686)

Question 281747: the price of orchestra tickets are: 125.00, balcony tickts are 70.00 the total number of ticketes sold were 195. The total collected was 26650.00 determine the number of orestra tickets and balcony tickets
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Question 281994: consider the standard form of a quadratic equation y=ax^2+bx+c. what is the effect of the "b" on the shape of the parabola? what is the effect on the location of the parabola?
Click here to see answer by stanbon(57361)

Question 282163: I need help with this question, I have worked it several times and still fail to solve it properly:
Bayside Insurance offers two health plans. Under Plan A, Giselle would have to pay the first $100 of her medical bills plus 40% of the rest. Under Plan B, Giselle would have to pay the first $220 of her bills plus 25% of the rest. For what amount of medical bills will Plan B save Giselle money? Assuming she has more than $220 in bills.
Thanks!

Click here to see answer by richwmiller(9143)

Question 282546: if 8x + 5x + 2x + 4x =114, then 5x + 3=
Click here to see answer by user_dude2008(1861)

Question 282709: The population of the US was 151 nillion in 1950 and 249 million in 1990.
find the slope of the line through the 2 points defined by the population data.
Write a linear equation to model the population fo the US t years after 1950
Click here to see answer by oberobic(2304)

Question 282741: A restaurant owner wishes to replenish his stock of dishes by purchasing 250 sets for your restaurant. You have available two different dish designs. One design costs $20 per set (X) and the other $45 per set (Y). If you only have $6,800 to spend, how many of each design should you order? How do I write as linear eqaution and solve

Click here to see answer by Theo(3464)

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