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

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


Question 622413: Five times a number plus four times a second number equal to eighty-three. The difference between the two numbers is 5. Find the two numbers.
Click here to see answer by matineesuxxx(27) About Me 

Question 622468: A woman's $20,000 estate is to be divided so that her husband is to receive three times as much as her son. find the amount that her husband and her son will receive. Complete the first two steps by filling in the blanks.
Remember, each time we do this we want a SINGLE variable, one time it is an S and the other time it is an h
S + 3S = $20,000
S + 3S = 4s 4s= $20,000 4/4 s= 20,000/4 s = 5,000
S= the son’s amount
3S=the husband’s amount

Now that, I know what the son's amount is, how do we write the equation to show how to get the husbands amount. And only using the variable H. Thank you in advance.

Click here to see answer by solver91311(16897) About Me 

Question 622593: Which equation should be used to solve this problem?
A number is 14 less than the sum of 30 and 29.
What is the number?

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Question 622669: The sum of the two digits of a number is 14.When 31 is subtracted from the number, the digits become equal. Find the number.
Click here to see answer by math-vortex(472) About Me 

Question 622619: A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as much in the lower-yielding account because it is less risky. His annual interest is $4,180. How much did he invest at each rate?
Click here to see answer by math-vortex(472) About Me 

Question 622806: The monthly payment p on a mortgage varies directly with the amount borrowed B. If the monthly payment on a 30-year mortgage is $7.30 for every $1000 borrowed, find a linear function that relates the monthly payment p to the amount B for a mortgage with the same terms. Then find the monthly payment p when the amount borrowed is $194,000.
I come up with p= B/219; $885.84 am I right?

Click here to see answer by fcabanski(874) About Me 

Question 623236: THE LENGTH OF A FIELD IS 6FT MORE THAN TWICE ITS WIDTH,IF THE PERIMETER OF THE FIELD IS 228FT FIND THE DIMENSIONS OF THE FIELD
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Question 623154: If 530 pesos can buy 4 kg of fish and 2 kg of pork while 875 pesos can buy 7 kg of fish and 3 kg of pork, how much does a kg of fish cost?
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Question 623572: Hi there. Please help me with my Calculus homework. Here it is:
Engr. Florencio purchases an equipment for P1,192,000. The equipment requires an average expenditure of P236.25 per hour for fuel and maintenance, and the operator is paid P120.00 per hour.
Write a linear equation giving the total cost C of operating this equipment t hours.

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Question 623653: How to graph the following:
y = -5
x = 1

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Question 623754: Tom has 35 coins consisting of dimes and nickles. If the value is $3.30, then how many of each type does he have ?? What is the equation ?
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Question 623750: How do I solve ?? Tom has 35 coins consisting of dimes and nickels. If the value of the coins are $3.30, then how many of each does he have. ?
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Question 623673: Two trains start from stations 600 km apart and travel toward each other. The trains meet after 6 hours. Find the rate of each train if one travels 10 km per hour faster than the other. can u help me with this problem? thank u.
Click here to see answer by Alan3354(30993) About Me 

Question 623771: I understand the concept but cannot arrive at the correct answers I think I am messing up the last equation. I keep getting the number of adult tickets is 74 but I know that is not right. A movie theater charges $7 for adults, $5 for children, and $4 for seniors over age 60. The theater sold 222 tickets and took in $1383. If twice as many adult tickets were sold as the total of children and senior tickets, how many tickets of each kind were sold.
Click here to see answer by math-vortex(472) About Me 
Question 623771: I understand the concept but cannot arrive at the correct answers I think I am messing up the last equation. I keep getting the number of adult tickets is 74 but I know that is not right. A movie theater charges $7 for adults, $5 for children, and $4 for seniors over age 60. The theater sold 222 tickets and took in $1383. If twice as many adult tickets were sold as the total of children and senior tickets, how many tickets of each kind were sold.
Click here to see answer by MathTherapy(1425) About Me 

Question 623774: One number is thee more than another. Assume that the first number is x. Create a rational expression to represent the difference of the reciprocals of the two numbers. Simplify your answer.
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Question 623957: A mail-order company charges $4 for shipping orders of less than $50, $6 for orders from $50- $200, and $8 for orders over $200. One day the total shipping charges were $2160 for 384 orders. Find the number of orders shipped at each rate if the number of orders under $50 is 12 more than twice the number of orders over $200.
I know how to do determinants but just having a hard time figuring out the equations I should be using. Any help would be appreciated. Thank you

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Question 624019: Linear programming
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Question 623761: in three days, Carter drove 2196 miles in 36 hours behind the wheel. tt day he averaged 64 mph, the second day 62 mph, and the third day 58 mph. If he drove 4 more hours on the third day than the first day, then how many hours did he drive each day ?
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Question 624097: If one cashier can count a certain sum of money in 2 hours, and another cashier can count the same sum in 3 hours, then both cashiers working together can count this sum in ??? hour and ???? minutes.
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Question 624368: The sum of two angles' measures is 95 degrees. Angle 2 is 105 degrees smaller than 3 times angle 1.
What are the measures of the two angles in degrees?

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Question 624485: a positive number is 5 times another number. if 21 is added to both the numbers then one of the number becomes twice the other new no. what are the nos.
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Question 624489: You have $32 to spend at the music store. Each cassette tape costs $5 and each CD costs $9. Write a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs.
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Question 624651: A formula in the form of +y=+mx%2Bb models the average retail price, {y} of a new car {x} years after 2000. Would you expect {m} to be Positive, negative, or zero? Explain your answer.
I think it would be postitive cause when your dealing with new cars there should not be a negative.
Just not sure if that would be right.

Click here to see answer by nerdybill(6962) About Me 

Question 624661: sum of three even consecutive number is 36. find the number.
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Question 624661: sum of three even consecutive number is 36. find the number.
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Question 624660: sum of three eve consecutive number is 36. find the number
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Question 624660: sum of three eve consecutive number is 36. find the number
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Question 624745: Grace is three times as old as Hans, but in 5 years she will be twice as old as Hans is then. How old are they now? Set up and then solve a system of linear equations.
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Question 624860: If you add 13 to four times a certain number, the sum is less than 265. Let x represent the number. Write an inequality that can be solved to find the value of x.
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Question 624812: two planes leave an airport at the same time one flying east, the other flying west. The eastbound plane travels 100mph slower. They are 2880 miles apart after 4 hours. Find the speed of each plane.
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Question 624905: I am totally stumped on these word problems:
A one-cup serving of orange juice contains 3 mg less than
four times the amount of vitamin C as a one-cup serving
of pineapple juice. Servings of the two juices contain a
total of 122 mg of vitamin C. How many milligrams of
vitamin C are in a serving of each type of juice?
So far my guess is 122=4X-3-X
Also it possible where i can find out to do these so i won't have to ask for help for these type of problems in the future! Thank you!

Click here to see answer by ewatrrr(10682) About Me 

Question 625065: Please help me with this question.
A pony and a donkey were carrying some bundles of cloth for a cloth merchant. On the way, the donkey said to the pony, "If I give you one bundle, my load will be half of yours." In an angry mood, the pony retorted, "Why don't you take one bundle from me, then my load will be half of yours!" Assuming that the bundles are of equal weight, how many bundles did the pony and the donkey each carry?

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Question 625345: two times the first number is one more than the second number. if their sum is -64, what is the two numbers?
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Question 625456: I need to know how to set up problems like this the sum of two numbers is 25 one number is twice the second plus seven what are the two two number?
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Question 625566: A restaurant serves lunch to 90 people paer day. How many people are served lunch in 31 days ?

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Question 625725: How Much Tin and how much lead must be added to 700 pounds of an alloy containing 50% tin and 25% lead to make an alloy which is 60% tin and 20% lead?
Click here to see answer by josmiceli(9695) About Me 

Question 625742: Let f(x) be the number of miles in feet. Find a formula for f(x)
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Question 625749: Let f(x) be the number of meters in feet (1 inch= 2.54 cm). Find a formula for f(x)
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Question 625942: A peach and a apple cost 70 cents. The peach is more expensive than the apple by 60 cents. What is the cost of each fruit?
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Question 626144: The sum of three numbers is 74 . The first number is 10 more than the second . The third number is 2 times the second. What are the numbers?


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Question 626362: Write an expression that represents the area of a rectangle given that the length =(x+4) and the width =(5x+2)
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Question 626395: In a test of 30 questions, 20 points are given for each correct answer and 5 points are deducted for each one answered wrong. If Maria answered all of the questions and got a score of 325, how many did she get right?

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Question 626552: Suppose that f(x)=x^2+4x-12.
A.what is the vertex of f?
B. what are the x-intercepts of the graph of f?
C. solve f(x)= -12 for x. what points are on the graph of f ?
D. use the information obtained in parts A-C to grapgh f(x)=x^2 +4x-12
answers in ordered pair for a through c.

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Question 626906: hmp..i ask for a help now...i need to know the answer now.. the problem goes like this
THE TEMPERATURE OF AN OBJECT IN CELSIUS AND FAHRENHEIT SCALES ARE RELATED BY A LINEAR FUNCTION.WATER BOILS AT 100 DEGREE C OR 212 DEGREE F,AND FREEZES AT 0 DEGREE C OR 32 DEGREE F
a.)IF THE WEATHER IS FORECAST AT 40 DEGREE C TODAY,WILL IT BE COLD.HOT OR JUST WARM?EXPLAIN?
......IM BEGGING YOU...PLEASE HELP ME.....NOW..

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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