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 102417: 3x-7+2x=9
Click here to see answer by oberobic(2304) About Me 

Question 103103: The admission fee at a small fair is $1.50 for children and $4.00 for
adults. On a certain day, 2200 people enter the fair and $5050 is
collected. How many children and how many adults attended?

Click here to see answer by doukungfoo(195) About Me 

Question 103106: Don runs a charity fruit sale, selling boxes of oranges for $11 and boxes of grapefruit for $10. If he sold a total of 762 boxes and his total income was $8125, how many boxes of oranges did he sell.
X= boxes of oranges y=boxes of grapefruit
$11x+10y=$8125
this is as far as I've gotten in attempting to solve the problem.

Click here to see answer by doukungfoo(195) About Me 

Question 103217: Help!!!!!!!!!!!!
1.Your cousin earns about $25 per week baby-siting and recives one $5 doller bonus. You earn about $15 per week mowing lawns and $12 per week running errands. After working the same number of weeks, you have $11 more than yor cousin. write and solve an equation to find how many weeks you worked.

Click here to see answer by checkley75(3666) About Me 

Question 103218: After an 8% increase in your wages, you receive $.94 more per hour. About how much did you recive per hour before the increase in your wages?
Click here to see answer by checkley75(3666) About Me 

Question 103283: you shovel snow. you charge $7 per driveway and earn $42. let x repersent the number of driveways you shoveled.
Click here to see answer by alisttutors(8) About Me 

Question 103297: Cycle Pths, Inc makes bicycles, trycicles and unicycles. Last week they made 88 more bicycles than unicycles, and 5 times as many tricycles as unicycles. If they made 40 more bicycles than tricycles, how many unicycles did they make?
Click here to see answer by HyperBrain(694) About Me 

Question 103398: Seven times some number added to 4 amounts to -20 added to the product of 3 and the number.

Click here to see answer by JP(22) About Me 

Question 103671: running shoes in lots 50 or fewer pairs can be bought for 18 dollars per pair. the price decreases by 1.5 cents per pair for the excess over 50 pairs bought at one time up to 400 pairs. how many pairs can be bought for 4464 dollars.
Click here to see answer by stanbon(57387) About Me 

Question 103709: Hello,

I need help using a system of equations to solve this problem:

Trinidad has $2.35 in nickels and dimes. If she has 33 coins in all, find the number of nickels and dimes.

Thank you

Click here to see answer by scott8148(6628) About Me 

Question 103707: Hello,

I need help using a system of equations to solve this problem:

Adult tickets for the school musical sold for $3.50 and student tickets sold for $2.50. Three hundred twenty-one tickets were sold altogether for $937.50. How many of each kind of tickets were sold?

Thank you

Click here to see answer by scott8148(6628) About Me 

Question 103672: a tank can be normally filled in hours. but after the tank developed a leak it took 12 hours to fill it. how long would it take the leak to empty a full tank?
Click here to see answer by ankor@dixie-net.com(15660) About Me 

Question 103897: Kay spends 250 min/wk exercising. Her ratio of time spent on aerobics to time spent on weight training is 3 to 2. How many minutes per week does she spend on aerobics? How many minutes per week does she spend on weight training
Click here to see answer by checkley75(3666) About Me 

Question 103898: Kay spends 250 min/wk exercising. Her ratio of time spent on aerobics to time spent on weight training is 3 to 2. How many minutes per week does she spend on aerobics? How many minutes per week does she spend on weight training
Click here to see answer by checkley75(3666) About Me 

Question 103899: Kay spends 250 min/wk exercising. Her ratio of time spent on aerobics to time spent on weight training is 3 to 2. How many minutes per week does she spend on aerobics? How many minutes per week does she spend on weight training
Click here to see answer by stanbon(57387) About Me 

Question 103929: The sum of two numbers is 27. one half of the first number plus one third of the second number is 11. Find the numbers
Click here to see answer by jim_thompson5910(28598) About Me 

Question 103969: A concrete driveway has a perimeter of 280 feet. The length of the driveway is 20 feet more than 4 times its width. Find the length and width of the driveway by writing two equations with two variables, and solving the equations by either the addition method or the substitution method.
To get credit, you must define the variables, create two equations, then solve those two equations using algebraic methods of addition or substitution.

Click here to see answer by elima(1433) About Me 

Question 101591: Translate to an equation and find all solutions:
Find the number whose square is 24 more than five times the number

Click here to see answer by edjones(7569) About Me 

Question 103896: Kay spends 250 min/wk exercising. Her ratio of time spent on aerobics to time spent on weight training is 3 to 2. How many minutes per week does she spend on aerobics? How many minutes per week does she spend on weight training
Click here to see answer by elima(1433) About Me 

Question 104085: My average electricity bill for the months of November, December, January, and February was $200. The highest month was January which was twice February. December was $10 less than January and November was $24 less than February. How much was my bill in each of the months November, December, January, and February?
Click here to see answer by elima(1433) About Me 

Question 104170: Write a full solution for the following question.

At at party you overhear another guest asking the age of the hosts' 3 children. The host tells the guest that the product of his kids' ages is 72 and the sum of their ages is the same as the guest's house number. Now, the other guest obviously knows her own house number but, after thinking for a bit, she is forced to ask the host for additional information. The host then says that his oldest child likes strawberry ice cream and the other guest is able to say their ages. Even though you don't know the guest's house number, you have enough information.
Assuming that all of the ages are whole numbers (1, 2, 3 not 2 1/2). HOw old is his oldest child?

Click here to see answer by Ahmath(7) About Me 

Question 104150: The sum of two Numbers is -2. If twice the smaller number is added to three times the larger, the result is 1. Find the two numbers.
Click here to see answer by checkley75(3666) About Me 

Question 104167: Write a full solution for the following question.

Vince left Trout Creek driving at 40km/h. Mike followed 2 hours later driving at 50km/h. How far down the road will Mike overtake Vince?

Click here to see answer by scott8148(6628) About Me 

Question 104086: My average electricity bill for the months of November, December, January, and February was $200. The highest month was January which was twice February. December was $10 less than January and November was $24 less than February. How much was my bill in each of the months November, December, January, and February?
Click here to see answer by ankor@dixie-net.com(15660) About Me 

Question 104231: A fence is to be built around a track so that there is a uniform gap between the outside edge of the track and the fence. The Length of the straight portion of the track is 100 meters and the diameter of the curve is 81 meters. What is the Maximum width of the gap between the track and the fence if no more than 777 meters of fencing is used?
Click here to see answer by ankor@dixie-net.com(15660) About Me 

Question 104414: Hello,

I need some help solving this problem:

Al's flower garden measures 25 feet by 35 feet. He has enough crushed stone to cover 325 square feet. If he uses the stone to build a path around his garden, what is the maximum possible width of the path.

Thank you

Click here to see answer by scott8148(6628) About Me 

Question 104568: Hello,

I need help with this problem:

The height, in feet, of a rocket t seconds after blast-off is given by a formula h=1260t-16t^2. After how many seconds will the rocket first reach a height of 23,400 feet?

Thank you

Click here to see answer by Fombitz(13828) About Me 

Question 104805: slope: -3/4 ;y-intercept (0,0)
Write the eqation of the line with given slope and y-intercept. then graph each line using the slope and y-intercept.

Click here to see answer by duggie(26) About Me 

Question 104804: Write the equation of the line with the given slope and y-intercept. Then graph each line using the slope and y-intercept.
slope: 5;y-intercept : (0,-2)

Click here to see answer by duggie(26) About Me 

Question 104736: I'm in grade 10 math and have finished solving word problems using linear systems. We were given a sheet where I now have to try and make up a linear solution using the given variables, but I'm having trouble trying to work this out and my parents are unsure also. The question is below and if you could help me it would be greatly appreciated.
Question: Make up a word problem that you can solve using a linear system. The solution is (5,35).

Click here to see answer by ankor@dixie-net.com(15660) About Me 

Question 104887: Fifteen days after Alan began a diet he weighed 176 lb. After 45 days he weighed 170 lbs
a) how much did he weigh at the beginning of the diet?
b) At this rate, when will he weigh 165 lb?

Click here to see answer by HyperBrain(694) About Me 
Question 104887: Fifteen days after Alan began a diet he weighed 176 lb. After 45 days he weighed 170 lbs
a) how much did he weigh at the beginning of the diet?
b) At this rate, when will he weigh 165 lb?

Click here to see answer by edjones(7569) About Me 

Question 104885: A new parking lot has spaces for 450 cars. The ratio of spaces for full sized cars to compact cars is 11 to 4. How many spaces are for full-sized cars? how many spaces are for compact cars?
Click here to see answer by oberobic(2304) About Me 

Question 104890: a plumber charged $110 for a three hour job and $160 for a five hour job. At this rate, how much would he charge for an eight hour job.
need help. have tried. my answer was $200. please correct me if i am wrong

Click here to see answer by oberobic(2304) About Me 
Question 104890: a plumber charged $110 for a three hour job and $160 for a five hour job. At this rate, how much would he charge for an eight hour job.
need help. have tried. my answer was $200. please correct me if i am wrong

Click here to see answer by edjones(7569) About Me 

Question 104940: The perimeter of a rectangle is 120 feet. IF the ratio of the width to length is 5 to 7, find the dimensions of the rectangle.
Click here to see answer by Fombitz(13828) About Me 

Question 105185: One number is seven more than a second number. Five times the first is 11 less than 4 times the second. Find the numbers
Click here to see answer by cheesey(22) About Me 

Question 105186: One number is seven more than a second number. Five times the first is 11 less than 4 times the second. Find the numbers
Click here to see answer by ankor@dixie-net.com(15660) About Me 

Question 105192: One day the temperature at 1:00 a.m. was 44 f, and by 4:00 p.m. the temperature was 59 f. What was the hourly rate of temperature change?
Click here to see answer by edjones(7569) About Me 

Question 105189: An airplane covered 24 miles of its route while decreasing its altitude by 36,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. Hint: (1 mi = 5280 feet)

Click here to see answer by checkley75(3666) About Me 

Question 105258: Ok my favorite tutors, I only have 2 more questions, at least until monday:) You guys rock!!!
Ziggy's famous yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain low-fat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds of no-fat yogurt should be mixed to obtain 60 pounds of low-fat yogurt?
Can you please help me set this up and solve it???

Click here to see answer by ptaylor(2048) About Me 

Question 105259: Here is the second one I need help with.
The probability that San Francisco plays in the next super bowl is nine times the probability that they do not play in the next super bowl. The probability that san francisco plays in the next super bowl plus the probability that they do not play is 1. What is the probability that san francisco plays in the next super bowl?
I'm totally stuck on this one, any help would be fantastic!! Thanks in advance!

Click here to see answer by edjones(7569) About Me 

Question 105323: Twice the sum of two numbers is 32. Twice their difference is 4. Find the numbers.
Click here to see answer by checkley75(3666) About Me 

Question 105552: On a 50 question true-false test, a student received 3 points for each correct answer. For each incorrect answer, the student lost 1 point. For an unanswered question, no points were added or deducted.
a) find best score possible
b) find worst score possible
c) find the linear function that converts the raw score described above to a score from 0 to 100
d) What score from 0 to 100 corresponds to a test result of 38 correct, 4 incorrect, and 8 omitted.

Click here to see answer by josmiceli(9697) About Me 

Question 105569: a student makes $0.65 for each mistake she finds in a text. What is the equation for direct variation??
Click here to see answer by elima(1433) About Me 

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