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

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Question 161472: Moolah has 27 coins that are all dimes and quarters. The value of th coins is $4.35. How many dimes and how many quarters does Moolah have?
Click here to see answer by nerdybill(2446)

Question 161499: The larger of two numbers is 11 more than twice the smaller. The sum of the numbers is 1 less than seven times smaller. Find the numbers.
Click here to see answer by gonzo(654)

Question 161501: Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 5 times the number of tricycles. All the bicycles and tricycles together have a total of 154 wheels. How many bicycles are there?
Click here to see answer by gonzo(654)

Question 161497: Toga flew her ultralight plane to a landing field 24 mi away. with the wind, the flight took 2/5 h. Returning against the wind, the flight took 3/4 h. Find the rate of the plane in still air and the rate of the wind.
Click here to see answer by checkley77(7035)

Question 161535: togo flew his ultralight plane to a landing field 30 mi away. With the wind, the flight took 3/5h. Returning against the wind, the flight took 5/6h. Find the rate of the plane in still air and the rate of the wind.
Click here to see answer by checkley77(7035)

Question 161534: togo flew his ultralight plane to a landing field 30 mi away. With the wind, the flight took 3/5h. Returning against the wind, the flight took 5/6h. Find the rate of the plane in still air and the rate of the wind.
Click here to see answer by checkley77(7035)

Question 161568: Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 4 times the number of tricycles. All the bicycles ans tricycles together have a total of 174 wheels. How many bicycles are there?
Click here to see answer by jojo14344(1483)

Question 161542: Pops Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 4 times the number of tricycles. All the bicycles and tricycles together have a total of 174 wheels. How many bicycles are there?
Click here to see answer by Alan3354(6059)

Question 161696: The base of an isosceles triangle is one-third the length of each of the congruent sides. The perimeter of the triangle is 84 cm. How long is the base?
Click here to see answer by josmiceli(3003)

Question 162037: Find a number such that 2 more than one-half the number is two-thirds the number
Let x represent the number
(1/2)x + 2 = (2/3)x
(1/2)x - (1/2)x + 2 = (2/3)x - (1/2)x
0 + 2 = (4/6)x- (3/6)x
2= (1/6)x
(6)(2)=(6)(1/6)x
12 = x

Click here to see answer by eperette(173)

Question 161968: A radiator contains 6 quarts of a 25% antifreeze solution. How much anitfreeze should be drained and replaced with pure antifreeze to yield a 33% solution?
Click here to see answer by ankor@dixie-net.com(6691)

Question 162065: It takes a boat 4 hours to travel 24 miles down a river and 6 hours to return upstream to its starting point. What is the rate of the current in the river?
Click here to see answer by checkley77(7035)

Question 162194This question is from textbook Elementary & Intermediate Algebra
: Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25% then how much did she invest at each rate?This question is from textbook Elementary & Intermediate Algebra

Click here to see answer by checkley77(7035)

Question 162221: 73. A car passes a point at 1 pm and continues along at a constant speed of 64kilometers per hour. A second car passes teh point at 2 pm and goes on a constant speed of 88 kilometers per hour, followint the same route as the first car. At what time will the second car catch up with the first car?
83.The perimeter of a rectangle is 160 meters. If a new rectangle is formed by halving the length of each of on pair of opposite sides and increasing the remaing pair sides by 30 meters each, then the new rectangle aslso has a perimeter of 160 meters. What were the dimensions of teh original rectangle?
Click here to see answer by stanbon(26259)

Question 162094This question is from textbook
: One number is 2 larger than another number. If two times the larger number is added to three times the smaller number, the result is 19. Find both numbersThis question is from textbook

Click here to see answer by edjones(3292)

Question 162248This question is from textbook intermediate algebra
: at one time, hockey teams received 2 points when they won a game and 1 point when they tied. one season, a team won a championship with 60 points. they won 9 more games than they tied. how many wins and how many ties did the team have?This question is from textbook intermediate algebra

Click here to see answer by nerdybill(2446)

Question 162284: Hockey teams receive 2 points when they win and 1 point when the tie. One season, a team won a championship with 61 points. They won 11 more games than they tied. How many wins and how many ties did the team have?
How many wins did the team have?
How many ties did the team have?
Click here to see answer by tutor_paul(424)

Question 162293: At a sale, the cost of a pair of shoes was reduced from $42.00 to $33.60. What was the per cent of discount?
Click here to see answer by jojo14344(1483)

Question 162455: A Rectangular field whose length is 10 meters longer than its width is to be enclosed with exactly 100 meters of fencing material. What are the dimensions of the field?
Click here to see answer by Earlsdon(4898)

Question 162620: In a local pet store , the cats sell for $10 each and the canaries sell for $15 each. the total value was $360. one night the shop owner forgot to close the cages. 2 cats and half of the canaries are gone. if the total value is now $220, how many of each were present before escape?
I was asked to find the solution by writing and solving a system of 2 linear equations.
so far i have that: k= number of cats and c= number of canaries
And what i think the equations might be:
and
Am i correct and if not how can i modify my equations to solve the equation easier? thanks.

Click here to see answer by stanbon(26259)

Question 162545: The Slip and Slide Ski Company manufactures downhill skis and cross country skis. A pair of downhill skis requires 2 man-hours for cutting, 1 man-hour for shaping, and 3 man-hours for finishing while a pair of cross country skis requires 2 man-hours for cutting, 2 man-hours for shaping, and 1 man-hour for finishing. Each day the company has available 140 man-hours for cutting, 120 man-hours for shaping, and 150 man-hours for finishing. How many pairs of each type of ski should the company produce to maximize their profit if a pair of downhil yields a profit of $10 and a pair of cross country skis yields a profit of $8?
Click here to see answer by stanbon(26259)

Question 162628: Assume that the sales of a certain automobile parts company are approximated by a linear function. Supppose the sales were $200,000 in 1994 and $1,000,000 in 2001.
A. Find an equation giving the companys yearly sales
B. Find the sales in 1996
C. Estimate the sales in 2007
Click here to see answer by stanbon(26259)

Question 162493: Before Roland sold two feamle rabbits, half of his rabbits were female. After the sale, only one - third of his rabbits were female. If x represents his original number of rabbits, then 1/2x-2=1/3(x-2). Solve this equation to find the number of rabbits that he had before the sale.
Here is what I came up with:
1/2x-2=1/3(x-2)
1/2x-2=1/3x-2/3
6(1/2x-2)=(1/3x-2/3)6
3x-12=2x-12/3
3x-12=2x-4
+12 +12
3x =2x+8
-2x -2x
x =8
Click here to see answer by elima(1433)

Question 162758: Can you please help with this problem? Thanks
According to Kepler’s third law of planetary motion, the ratio T^2/R^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit of the sun. If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venus to complete one orbit of the sun?
Click here to see answer by gonzo(654)

Question 162761: In the Independent Practice on pg 93, I am having difficulty setting up the equation for problem 2.
Jerome bought 12cds. Some cost 7.50 ea. the rest cost 6.50 each. How many CDs were bought at each price if he spent $82?
Click here to see answer by orca(409)

Question 162881: Ruth purchases some $.01 stamps, some $.15 stamps and some $.20 stamps. She has spend a total of $5.00. There are three times as many $.01 stamps as $.20 stamps and 8 more $.15 stamps than $.20 stamps. How many stamps in all does she buy?
Click here to see answer by checkley77(7035)

Question 162969: A garden table and a bench cost $450 combined. The price of the garden table is two times the price of the bench. What is the cost of the bench?
Click here to see answer by checkley77(7035)

Question 163019This question is from textbook intermediate algebra
: please help!! this is an elimination method word problem. thks in advance.
an airplane has a total of 152 seats the number of coach-class seats 5 more than six times the number of first-class seats. How many of each type of seats are there on the plane?This question is from textbook intermediate algebra

Click here to see answer by ankor@dixie-net.com(6691)

Question 163036: I am helping my 5th grade son with his homework. I would like to give him a formula to this word problem.
A pencil cost .50 and a pen cost .25. If Will spends 5 dollars on 17 pens and pencils, how many of each does he buy?
Click here to see answer by ankor@dixie-net.com(6691)

Question 163080This question is from textbook
: a washing machine technician charges $27 for the first half hour and $18 for each half hour or part thereafter. how long did the technician work if the bill did not exceed $100?This question is from textbook

Click here to see answer by joecbaseball(37)

Question 163078This question is from textbook
: a washing machine technician charges $27 for the first half hour and $18 for each hour or part thereafter. how long did the technician work if the bill did not exceed $100?This question is from textbook

Click here to see answer by joecbaseball(37)

Question 163130: Trains A and B are travelling in the same direction on parallels tracks. Train A is travelling at 80 mph and train B is travelling at 84 mph. Train A passes a station at 8:25 pm. If train B passes the same station at 8:55 pm, at what time will train B catch up to train A?

Click here to see answer by checkley77(7035)

Question 163110: On three consecutive passes, a football team gains 9 yards, loses 21 yards, and gains 37 yards. What number represents the total net yardage?
The total net yardage is [25] yards.

Click here to see answer by checkley77(7035)

Question 163207: One canned juice drink is 30% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 25L that is 10% orange juice?
Click here to see answer by jojo14344(1483)

Question 163206: a lab Tech. has 520mL of solution of water and acid;3% is acid. How many mL are acid, and how many mL are water?
Click here to see answer by checkley77(7035)

Question 163266: A car rental as allocated $1.5million to buy a fleet of cars consisting od compact, intermediate and full size cars. Compacts cost $12000, intermediate coast 18,000 and full size cost $24,000 each. If twice as many compacts as intermediate cars are purchased and the total number is 100 determine how many cars of each type will be purchased(assume that the entire budget will be used)
I'm not sure whether my equation is right can you please help me?
This is what I have: let x represent compacts, let y represent intermediate & let z represent full size. therfore,
First equation is 12000x +18000+ 24000 = 1.500000
Second equation is x= 2y + 100

Click here to see answer by nerdybill(2446)

Question 163292: Translate the following into a system of equations, then solve it: A customer walks into an electronics store and buys five MP3 players and eight sets of headphones, paying $840. A second customer buys three MP3 players and four sets of headphones, and pays $480. How much does an MP3 player cost? How much does a set of headphones cost?
Click here to see answer by jojo14344(1483)

Question 163313: The Everton College store paid $1667 for an order of 46 calculators. The store paid $11 for each scientific calculator. The others, all graphing calculators, cost the store $54 each. How many of each type of calculator was ordered?
The store ordered ___ scientific calculators and ___ graphing calculators.
Click here to see answer by jojo14344(1483)

Question 163340: Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. It makes a profit of $30 on a unit of lumber and $50 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $18360?
Snookers lumber must produce and sell ___ units of lumber and ___ units of plywood to make a profit of $18360?
Click here to see answer by elima(1433)

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