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

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 Linear Solvers Practice Answers archive Word Problems Lessons In depth

 Question 153433: I have a long word problem that I need help with. In 2000, crude oil production by OPEC countries was 29.2 million barrels per day. In 2002, OPEC crude oil production had risen to about 28.7 million barrels per day. a)write two ordered pairs of the form (years after 2000, crude oil production) for this situation. b)assume that the relationship between years after 1997 and crude oil production is linear over this period. Use the ordered pairs from part (a) to write an equation of the lines relating year to crude oil production. c)Use the linear equation from part (b) to estimate the crude oil production by OPEC countries in 2001. I am not sure how to work this problem. or where to start. thanks megan Click here to see answer by ankor@dixie-net.com(15638)

 Question 153806: one half of the total of 6 times a number and 20 is 4. what is the number? thanks... Click here to see answer by checkley77(12569)

 Question 153807: HELP ME.. juan and peter both leave a shopping center at the same time going in opposite directions. Juan is on his bike and travels 3mps faster than peter who is on his skateboard. after 1.5 hours they are 19.5 miles apart. How fast does peter travel? answer is.... 5mph I NEED THE SOLUTION :( Click here to see answer by checkley77(12569)

 Question 153937: A newspaper, USA- yesterday, prints the same number of pages every day. Readers like the news and photographs in the paper, but dislike advertising. As a result, as the number of pages devoted to ads increases, the number of readers declines. This relationship is described by the equation R=120-9A, where R is the number of readers (in thousands) and A is the number of pages of advertising. At what level of A does no one buy the newspaper? Click here to see answer by stanbon(57246)

 Question 154017: Walt made an extra \$9000 last year from a part-time job. He invested part of the money at 9% and the rest at 8%. He made a total of \$770 in interest. How much was invested at 8%. I believe the answer to be \$4000 invested at 8% because \$4000x.08=\$320 and \$5000x.09=\$450 so \$320+\$450=\$770. I Cannot however figure out how to put this in a linear equation. Please help. Click here to see answer by checkley77(12569)

 Question 154344: i need help!!! Im stuck on this word problem. Three Pairs of jeans and six shirts caost \$104.25. The cost of 4 jeans and 5 shirts is \$112.15. Find the cost of each pair of jeans and each shirt. Click here to see answer by Alan3354(30983)

 Question 154426: samantha charges \$27.28 for 14 tacos and 6 buritos and \$18.52 for 8 tacos and 6 burritos determine the cost of one burrito and one taco Click here to see answer by nerdybill(6950)

 Question 154428: cindy charges \$6.60 for 5 cartons of fries and 2 sodas and \$3.82 for 3 cartons of fries and 1 soda determine the cost of one soda and one carton fries. Click here to see answer by orca(409)

 Question 154460: One hundred sixty eight inches of string were used to make these squares, which are all the same size. What is the total area of the ten squares? Click here to see answer by nerdybill(6950)

 Question 155027: Allyson plays for the cook county regoinal football league whuch has ten teams. DURING A SEASON, EACH TEAM PLAYS THE OTHER TEAM TWICE, ONCE AT HOME AND ONE AWAY.HOW MANY TOTAL GAMES ARE PLAYED IN ONE SEASON? Click here to see answer by stanbon(57246)
 Question 155027: Allyson plays for the cook county regoinal football league whuch has ten teams. DURING A SEASON, EACH TEAM PLAYS THE OTHER TEAM TWICE, ONCE AT HOME AND ONE AWAY.HOW MANY TOTAL GAMES ARE PLAYED IN ONE SEASON? Click here to see answer by vleith(2825)

 Question 155203: Can you please help me with this word problem, have not done math in a long time and I'm just stuck: Solve the problem. The expression 553.7x + 27,966 can be used to approximate the average annual salary in dollars of public school teachers in the year 1985 + x. What was the average teacher's salary in 1991? Round your answer to the nearest whole number. Average teacher salary in 1991 was \$________. Thank you so much for your help! Ashley Click here to see answer by stanbon(57246)

 Question 155052: The director of a summer day camp estimates that 120 children will join if the camp fee is \$250, but for each \$25 decrease in the fee, five more children will enroll. Determine the linear equation that will represent the number of children who will enroll at a given fee. Click here to see answer by ankor@dixie-net.com(15638)

 Question 155268: A car rents for \$30 per day plus 18cents per mile. You are on a budget of \$75. what mileage would allow you to stay within your budget? Click here to see answer by nerdybill(6950)

 Question 155249: A freight train and an express train leave towns 390 km apart, traveling toward one another. The freight train travels 30 km per hour slower than the express train. They pass one another 3 hours later. What are their speeds? I think the speed of the freight may be 100km/hr and express would be 130km/hr, using the velocity = distance/time equation, but I am not quite sure of the formula and expression, or the answer for that matter. So if you could please help me I would appreciate it. Thanks Click here to see answer by ankor@dixie-net.com(15638)

 Question 155342: The average hourly wage of employees of a certain company is \$9.83. Assume the variable is normally distributed. If the standard deviation is \$4.58, find the probability that a randomly selected employee earns less than \$5.43. 0.313 = 31.3% 0.168 = 16.8% 0.436 = 43.6% 0.345 = 34.5% Click here to see answer by stanbon(57246)

 Question 155352: Stella’s Catering is planning a wedding reception. The bride and groom would like to serve a nut mixture containing 25% peanuts. Stella has available mixtures that are either 40% or 10% peanuts. How much of each type should be mixed to get a 10-lb mixture that is 25% peanuts? Click here to see answer by stanbon(57246)

 Question 155353: If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how long would it take if you work together? What assumptions (if any) did you make to arrive at your solution? Click here to see answer by stanbon(57246)

 Question 155341: Find the value for the correlation coefficient r. x = 5 , 1 y= 5 , 10 Click here to see answer by stanbon(57246)

 Question 155358: In 1920, the record for a certain race was 46.8 sec. In 1980, the record was 45.6 sec. Let R(t) + the record in the race and t = the number of years since 1920. a) find a linear function that fits the data. b) What is the predicted record for 2003? c) What is the predicted record for 2006? In what year will the predicted record be 45.0 sec? Click here to see answer by mangopeeler07(462)

 Question 155430: A baseball diamond is a square playing surface, meaning the lines (base paths) are at right angles with respect to one another. Bases are 27.43 meters (90 feet) apart. Throwing across the diamond, as a catcher does when trying to throw from home plate to second base, is the longest throw from one base to another. How long is this distance? ►_____________ meters Click here to see answer by stanbon(57246)

 Question 155469: This is totally confusing to me, how do you set this up and solve this problem? Flying agains the jet stream a jet travels 4200 km in 5 hours. flying wih the jetstream, the same jet travels 10620 km in 9 hours. What is the speed of the jet still in the air, and what is the speed of the jet stream? Click here to see answer by nerdybill(6950)

 Question 155468: I don't understand how to set up this problem nor solve it? In a family there are two cars. In a given week,the first car gets an average of 25 miles per gallon, and the second car gets 40 miles per gallon. The two cars combined drives a total of 1825 miles in that one week, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week? Click here to see answer by nerdybill(6950)

 Question 155435: Working together Miles and Maya can cut and trim a lawn in two hours. If it takes Miles five hours to do the lawn himself, how long would it take Maya to do the lawn by herself? Click here to see answer by ankor@dixie-net.com(15638)

 Question 155555: betsy recquires \$6000 per year in extra income. She has \$50,000 to invest and can invest in B-rated bonds paying 15% a year or in a certificate of deposit(CDs) paying 7% per year. how much money should be invested in each to relaize exactly \$6000 in interest per year? Click here to see answer by checkley77(12569)

 Question 155758: If you would please help me solve this word problem: The length of a rectangle is 1 inch less than three times the width. If the length is increased by 6 inches and the width is increased by 5 inches, then the length will be twice the width. Find the dimensions of the rectangle. So far this is what I have done: Let x=the width Since the length = 3x-1, I added the 6 inches and double the width. I have for an equation: (3x-1)+6 = 2x However when I solved it it turned out to be: 3x+5=2x x+5=0 x=-5 But, as you can see, I can't have a negative dimension in a rectangle! D:!! So please, can you point out what I did wrong ;-;? Please and thank you! Click here to see answer by Earlsdon(6287)

 Question 155853: Hi, This is my second question regarding word problems. I need to write an equation in either the slope-intercept form, or the standard(general)form. I 1990, there were 4.24 million children in the united states with physical disabilities. In 1998 the number was 5.2 million. a) Assuming that the trend is linear, write an equation relating the two, where y=number of children with physical disabilities in the u.s., and x= the number of years since 1990 (x= 0 corresponds to 1990). I think the slope for should be y=mx+b for the first part but I'm confused about how to use the numbers. b) Use your equation to answer the following questions: If this trend continues, how many children with physical disabilities would there be in the u.s in 2010? Thanks, Click here to see answer by stanbon(57246)

 Question 155851: Hi, I'm having problems solving this problem. I need to write an equation in either slope-intercept form, or the standard(general)form: The proper crutch length for someone who has sustained a leg injury and is x inches tall, is given by: y=0.72x+2 (where y is in inches) a) What is the proper crutch length for someone who is 6 feet tall? My answer was: y=0.72(6) + 2 = 4.32 + 2 Y= 6.32 if that the correct answer. Can you help me solve b,c,& d. b) If someone donates a crutch, which is 40 inches long, to a physical therapy clinic, what should be the height of the patient that the clinic who should receive it? c) By how much does the length of the crutch increase or decrease for every increase of 1 inch in height of the patient? d) Graph the equation for x ranging from 30 inches to 100 inches. Choose a suitable scale. Click here to see answer by Fombitz(13828)

 Question 155943: I need to set up the 3 by 3 systems of linear equations and solve for them on the following word problem. A theater has 500 seats divided into orchestra, main, and balcony seating. Orchestra seats sell for \$50, main seats for \$35, and balcony seats for \$25. If all seats are sold, the revenue is \$17,100. If all the main and balcony seats are sold, but only half the orchestra seats, the revenue is \$14,600. How many are there of each kind of seat? Click here to see answer by checkley77(12569)

 Question 156139: Two teachers are grading math homework. One teacher can grade a stack of papers in 50 minutes and the other can complete the job in 100 minutes. How long does it take them to grade all the papers if the first teacher grades alone for 23 minutes, then they work together to finish? Click here to see answer by stanbon(57246)
 Question 156139: Two teachers are grading math homework. One teacher can grade a stack of papers in 50 minutes and the other can complete the job in 100 minutes. How long does it take them to grade all the papers if the first teacher grades alone for 23 minutes, then they work together to finish? Click here to see answer by Earlsdon(6287)

 Question 156177: I can not figure out how to do algebric word problems. Not one. If 2 is added to five times a number, the result is equal to 5 more than four times the number. find the number. Click here to see answer by ankor@dixie-net.com(15638)
 Question 156177: I can not figure out how to do algebric word problems. Not one. If 2 is added to five times a number, the result is equal to 5 more than four times the number. find the number. Click here to see answer by Alan3354(30983)
 Question 156177: I can not figure out how to do algebric word problems. Not one. If 2 is added to five times a number, the result is equal to 5 more than four times the number. find the number. Click here to see answer by Earlsdon(6287)

 Question 156173: Bobby has a bag containing two sizes of marbles. The big ones weigh 8 g and the small ones weigh 2 g. If there are twice as many small ones as big ones and the bag weighs 324 g, how many big marbles does he have? Click here to see answer by ankor@dixie-net.com(15638)

 Question 156192: You have 15 cupcakes and 4 bags. Only odd number cupcakes in each bag. How many cupcakes in each bag - Thank you! Click here to see answer by Alan3354(30983)

 Question 156068: walt made an extra \$5000 last year from a part-time job. He invested part of the money at 9% and the rest at 7%. He made a total of \$370 in interest. how much was invested at 7%? Click here to see answer by checkley77(12569)

 Question 156600: Please help, don't understand...thanks A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will amount to \$35,630. The variable costs will be \$11.50 per book. The publisher will sell the finished product to bookstores at a price of \$20.25 per book. How many books must the publisher print and sell so that the production costs will equal the money obtained from sales? Click here to see answer by scott8148(6628)

 Question 156644: Jonathan plays midget hockey. Last season, three times the number of assists he made was less than the number of goals he scored. At the end of the season he had more than 58 points (assists and goals). Write in two inequality equations Click here to see answer by stanbon(57246)

 Question 156639: A sum of money is made up of \$5 bills and \$10 bills. The total number of \$5 bulls is at least 3 less than double the number of \$10 bulls. That sum of money is a minimum of \$65. What would that look like as an inequality equation? Click here to see answer by stanbon(57246)

 Question 156698: The average salary for computer progammers is \$7740 less than twice the average salary for carpenters. Combined, their average salaries are \$99000.Determine the averaage salary for each of these job. Click here to see answer by nerdybill(6950)

 Question 156708: Find the measure of an angle such that the sum of the measures of its complement and its supplement is 100 degrees. Click here to see answer by nerdybill(6950)
 Question 156708: Find the measure of an angle such that the sum of the measures of its complement and its supplement is 100 degrees. Click here to see answer by josmiceli(9661)

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