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

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Question 153277: A builder of tract homes reduced the price of a model by 15%. If the new price is $125,000, what was its original price? How much can be saved by purchasing the model?
Click here to see answer by jojo14344(1483)

Question 153276: Donna uses a 10% off coupon at her local nursery. After buying azaleas, bougainvillea, and bags of potting soil, her checkout price before tax is $217.95. How much would she have paid without the coupon?
Click here to see answer by jojo14344(1483)

Question 153278: A typical college student spends 1/3 of her waking time in class, 1/5 of her waking time eating, 1/10 of her waking time working out, 3 hours studying, and 2.5 hours doing other things. How many hours of sleep does the typical college student get?
Click here to see answer by ankor@dixie-net.com(6691)

Question 153379: I am having problems with the following word problem.
Tina Earns $175 per week plus 5% commission on all her sales. Find the minimum amount of sales to ensure that she earns at least $300 per week.

300=175+.5x
This s the equation that I came up with but do not think it is right. Could you please help me with the word problem and solving the equation
Thanks
Megan
Click here to see answer by checkley77(7035)

Question 153377: I am having problems solving this word problem.
The quotient of a number and 3 is the same as the difference
of the number and two. Find the number
I came up with
x+3=y+2
I am not sure if this is a correct equation for this problem. I also need help solving it.
Thanks
Megan

Click here to see answer by nerdybill(2446)

Question 153364: A poster is 25 cm taller than its width. It is mounted on a piece of particle board so that there is a 5 cm border on all sides. If the area of the border alone is 1250 sq cm, what are the dimensions of the poster?
Click here to see answer by ankor@dixie-net.com(6691)

Question 153388: Hi, I have a math packet due on the 27th, and I've been stuck on this problem the whole summer. We don't get credit if we don't show our work, so I was hoping you could help me find the formula to solve this:
"Snap your fingers. Wait one second and snap them again. Then wait 2 seconds and snap them again. Following this pattern, the next snap will come 4 seconds after that, than 8, 16 and so on. Each time, the number of seconds between snaps is doubled. If you follow this pattern carefully, how many times times will you snap your fingers in one year? Explain your reasoning."
I've already tried y=2^2x+1, 2^31,536,000 (because there are 31,536,000 seconds in a year), I've tried everything Icould think of, but nothing made ssensse. Please help!!!!
Click here to see answer by scott8148(3382)

Question 153449This question is from textbook Algebra For College Students
: Amber is signing up for cell phone service. She is trying to decide between Plan A, which costs $54.99 a month with a free phone included, and Plan B, which costs $49.99 a month, but would require her to buy a phone for $129. Under either plan, Amber does not expect to go over the included number of monthly minutes. After how many months would Plan B be a better deal? This question is from textbook Algebra For College Students

Click here to see answer by jojo14344(1483)

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(6691)

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(7035)

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(7035)

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(26259)

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(7035)

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(6059)

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(2446)

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(2446)

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(26259)

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(26259)

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(6691)

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(2446)

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(6691)

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(26259)

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(26259)

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(26259)

Question 155341: Find the value for the correlation coefficient r.
x = 5 , 1
y= 5 , 10
Click here to see answer by stanbon(26259)

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(450)

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(26259)

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(2446)

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(2446)

Question 155435This question is from textbook Algebra and Trigonometry
: 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?This question is from textbook Algebra and Trigonometry

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

Question 155555This question is from textbook
: 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?
This question is from textbook

Click here to see answer by checkley77(7035)

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(4898)

Question 155794: HOW DO YOU DO THIS PROBLEM 3/2X=9
Click here to see answer by checkley77(7035)

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(26259)

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(2113)

Question 155880: please help me solve this problem.
graph and check to solve the linear system.
-x+y=3
x+y=5
Click here to see answer by Fombitz(2113)

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(7035)

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(26259)

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(6691)

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(6691)

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