# 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 126403: how to solve the sum of x and y is 13 and the sum of 3 times x and 4 times y is 44. Click here to see answer by jim_thompson5910(28504)

 Question 126421: Two cars leave town at the same time going in the same direction on the same road. One travels 32mi/h and the other travels 47mi/h. In how many hours will they be 69 miles apart? Click here to see answer by josmiceli(9661)

 Question 126492: I am brain dead today and could use help here please! Thanks so much for any help you can give. A student makes a \$9.25 purchase at a bookstore with a \$20. bill. The store has no bills and gives the change in quarters and fifty cent pieces. There are 30 coins in all. How many of each kind are there? Click here to see answer by scott8148(6628)

 Question 126566: A certain 18 hole golf course has par-3 par-4 and par-5 hole and there are twice as many par-4 holes as there are par-5. How many holes of each type are there if a golfer has par on every hle for a score of 70? Click here to see answer by marcsam823(57)

 Question 126551: Ronald wants to sell his car thru a broker who charges a commission of 10% of the selling price. Ronald still owes \$11, 025 on the car. Ronald must get enough to at least pay off the loan. What is the range of the selling price? Click here to see answer by checkley71(8403)

 Question 126663: A pharmasist needs 500 milliliters of a 20% phenobarbital solution. But has only 5% and 25% phenobarbital solutions available. Find how many milliliters of each he should mix to get the desired solution. Click here to see answer by edjones(7569)
 Question 126663: A pharmasist needs 500 milliliters of a 20% phenobarbital solution. But has only 5% and 25% phenobarbital solutions available. Find how many milliliters of each he should mix to get the desired solution. Click here to see answer by josmiceli(9661)

 Question 126836: Leo held a garage sale. He priced all the items at a dime or a quarter. His sales totaled less than \$5. Write a linear inequality for this situation What is the maximum possible number of items that could have been sold for a dime? Click here to see answer by solver91311(16872)

 Question 126841: Use a system of linear equations to solve the problem. On a canoe trip, Rita paddled upstream (against the current) at an average speed of 2 mi/h relative to the riverbank. On the return trip downstream (with the current), her averagespeed was 3 mi/h. Find Rita's paddling speed in still water and the speed of the river's current. Click here to see answer by ankor@dixie-net.com(15639)

 Question 126838: Mary is twice as old as Rachel will be in seven years. Four years ago, Mary was four times as old as Rachel. How old is Mary now? Click here to see answer by ankor@dixie-net.com(15639)

 Question 127340: Not sure if this came from a textbook or not. The problem has been cut and pasted onto a blank sheet of paper. The problem says: The perimeter of a rectangle is 64cm. The length of the rectangle is 2cm more than 1 and 1/2 times the width. Find the dimensions of the rectangle. Underneath this, the teacher has written: Find and write the two equations. Solve the system by graphing. Your help will be greatly appreciated. Click here to see answer by ankor@dixie-net.com(15639)

 Question 127380: i need help with this one problem. Find three consecutive even integers such that three times the middle integer is six more than the summ of the first and third. Click here to see answer by ankor@dixie-net.com(15639)

 Question 127405: This is off of a worksheet and not a book. Problem states: A pair of telephone poles is supported by two cables. A cable line runs from the top of each pole to the bottom of the other. If one pole is 20m high and the other pole is 30 m high, how high above the ground do the cables intersect? Click here to see answer by scott8148(6628)

 Question 127481: Rodney and Rex are father and son, the sum of their age is 50. Five years ago Rodney was three times older than Rex, what are the linear equations to solve? Click here to see answer by bucky(2189)

 Question 127768: Al Moser is an office mgr. HIs responsibilities include booking airline tickets for business trips. In one week he booked 55 tickets, divided among three airlines. He booked 7 more tickets on A.A. than U.A. On S.W. he booked 4 more than twice as many tickets as on United. How many tickets did he book on each airline? Click here to see answer by josmiceli(9661)

 Question 127813: FInd the measure of an angle such that the sum of the measures of its compliment and suppliment is 160`. I do not know how to set up this problem in order to solve it. Have tried several different ways and have not been succesful.EXAMPLE:90-x+180-x=160 Click here to see answer by Ahha(5)

 Question 127831: I need help with this math problem. Tarzan gave Jane a 1 pound box of chocolates. He knows that when they share a 1 pound box of chocolate it usually lasts for 2 weeks. When he eats a 1 pound box of chocolate, it lasts for 6 weeks. Based on this information, how long should it take Jane to eat a 1 pound box of chocolate by herself. Any help would be appreciated! Thanks Click here to see answer by bucky(2189)

 Question 127836: The cost of mailing a postcard to the USA from France is eighteen cents less than twice the cost of mailing a postcard in Germany. The total cost to mail a postcard from each country is \$2.04. Find the cost to mail a postcard in each country. Click here to see answer by checkley71(8403)

 Question 127911: If one-fourth a number is subtracted from one-half of the number, the difference is 3. Setup an algebraic equation, find the number and check your answer Click here to see answer by stanbon(57250)

 Question 127984: Please help me solve this word problem: If the quotient of three times a number and five is increased by four, the result is 34. Find the number. I have the equation set up right, but I cannot come up with the correct answer of 50. Thank you for your help. Terri Jeffers Click here to see answer by MathLover1(6623)

 Question 127985: This question is one question with four parts! I asked the first part already bur I'm going to stick all four parts together on this question so that it makes sense. 1.Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city. 1a.The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation. MY ANSWER but I don't think it is right----- x+y=56 1b. The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a. MY ANSWER: 3y+x=56 1c. Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps used to solve the problem. NOW for this problem I am completely lost but I'm going to give it a try------- MY ANSWER: 3y^2+x^2=56*3 OR IS IT THIS: 3y^2+x^2=168? 1d. What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this problem? Where would the lines intersect if you solved the systems by graphing? THIS QUESTION i'M TOTALLY STUMPED ON!. Click here to see answer by MathLover1(6623)

 Question 128030: selling tickets for a play, 4 dollars for student 6 dollars for general. you sell 525 tickets and collect \$2876. how many types of tickets did you sell. Click here to see answer by stanbon(57250)

 Question 128023: what is the value of x and y if 3x+4y=7 Click here to see answer by idkweirdo(15)

 Question 128099: tyrels and dalia bought some pens and pencils. tyrel bought 4 pensand 5 pencils, which cost him \$6.71. dalia bought 5 pens and 3 pencils, which cost her \$7.12. Let A equal the price of a pen. let B equal the price of a pencil. a. write an equation that relates the number of pens and pencils tyrel bought to the amount he paid for them. b. write an equation that relates the number of pens and pencils dalia bought to the amount she paid for them. c. solve the system you wrote for parts (a) and (b) to find the price of a pen and the price of a pencil. Click here to see answer by stanbon(57250)

 Question 128191: find two positive numbers whoes ratio is 8 to 3 and whose product is 864 Click here to see answer by marcsam823(57)

 Question 128190: find 2 positive numbers whoes squares have a sum of 113 and a difference of 15 Click here to see answer by stanbon(57250)

 Question 128189: the sum of 2 numbers is 17 and their product is 72 Click here to see answer by checkley71(8403)

 Question 128278: In a game,18 of a baseball team's 27 outs were fly balls. Fifty percent of the outs made by infielders and 100% of the outs made by outfielders were fly balls. How many outs were made by outfielders? How many outs were made by infielders? Hint: write one equation for the total number of outs and another equation for the number of fly ball outs. Click here to see answer by stanbon(57250)

 Question 128319: this question is dealing with Linear Equation in Two Variables in word problems the question is: TICKETS FOR HOMECOMING DANCE COST \$20 FOR A SINGLE TICKET OR \$35 FOR A COUPLE. TICKET SALES TOTALED \$2280 AND 128 PEOPLE ATTENED. HOW MANY TICKETS OF EACH TYPE WAS SOLD A.70 SINGLES; 12 COUPLES B.16 SINGLES; 100 COUPLES C.16 SINGLES ; 56 COUPLES THANKS ALOT FOR YOUR HELP Click here to see answer by checkley71(8403)

 Question 128776: Rita rode her bicycle out into the country at a speed of 20 mph and returned along the same route at 15 mph. If the round trip took 5 hours and 50 minutes, how far out did she ride? Click here to see answer by checkley71(8403)

 Question 128935: Solve. Stellas 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 10lb mixture that is 25% peanuts? Click here to see answer by checkley71(8403)

 Question 128957: Solve. Rudy must play 12 commercials during his 1-hr radio show. Each commercial is either 30 sec or 60 sec long. If the total commercial time during that hour is 10 min, how many commercials of each type does rudy play? Click here to see answer by checkley71(8403)

 Question 129170: Solve. Sarah's two loans totaled \$12,000. One of her loans was at 6% simple interest and the other at 9%. After one year she owed \$855 in interest. What was the amount of each loan. Click here to see answer by checkley71(8403)

 Question 129173: Solve. Two airplanes travel toward each other from cities that are 780km apart at rates of 190km/h and 200 km/h. They started at the same time. In how many hours will they meet? Click here to see answer by checkley71(8403)

 Question 129290: A coin bank contains \$17.00 in pennies and nickels. If there are 1140 coins in the bank, how many of the coins are nickels? I just cant seem to get a formula that works at all, of course i have no clue how to get a formula for a problem like this, or i wouldnt be here. Please help!!! From "holt Algebra 1" Click here to see answer by checkley71(8403)

 Question 129436: A square chicken pen and a pen shaped like an equilateral triangle have equal perimeters. Find the length of the sides in feet of each pen if the sides of the triangular pen are fifteen less than twice a side of the square pen. Click here to see answer by Earlsdon(6287)

 Question 129512: Five hundred gallons of 82-octane gasoline is obtained by mixing 80-octane gasoline with 86-octane gasoline. How much of each must be used? Click here to see answer by checkley71(8403)

 Question 129617: solve. two planes travel toward each other from cities that are 780km apart at rates of 190 km/h and 200km/h. They started at the same. In how many hours will they meet? Click here to see answer by josmiceli(9661)

 Question 129616: solve. Donna is late for a sales meeting after traveling from one town to another at a speed of 32 mph. If she had tarveled 4 mph faster, she could have made the trip in 1/2 hr less time. How far apart are the towns? Click here to see answer by josmiceli(9661)

 Question 129652: solve. Juan goes to a bank and gets change for a \$50 bill consisting of \$5 bills and \$1 bills. There are 22 bills in all. How many of each kind are there? Click here to see answer by checkley71(8403)
 Question 129652: solve. Juan goes to a bank and gets change for a \$50 bill consisting of \$5 bills and \$1 bills. There are 22 bills in all. How many of each kind are there? Click here to see answer by stanbon(57250)

 Question 129756: hi sir pls help me A motorist drove 2 hours at one speed and then for 3 hours at another speed . He covered a distance of 252Km. If he had travelled 4 hours at the first speed and 1 hour at the second speed , he would have covered 244Km . Find two speeds ? ANS-[48 ,52] Click here to see answer by amine(11)
 Question 129756: hi sir pls help me A motorist drove 2 hours at one speed and then for 3 hours at another speed . He covered a distance of 252Km. If he had travelled 4 hours at the first speed and 1 hour at the second speed , he would have covered 244Km . Find two speeds ? ANS-[48 ,52] Click here to see answer by bucky(2189)

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