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

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Question 188530: leslie buys 38 stamps for 9.88. If each stamp cost either 32 cents or 20 cents how much of each kind can she buy

answer: leslie bought nineteen 32 cents stamps and nineteen 20 cents stamps.
need a break down of how my text book got this answer
Click here to see answer by solver91311(16897)

Question 188625: Two people started driving toward each other on he same highway at the same time from towns 420 miles apart. one car travels 15 miles per hours faster than the other. What is the a rate of each other if they meet in 4 hours

answer: the first travels at 60 mph; the second car travels at 45 mph

need a full break down on how the answer came about
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Question 188638: Two people start driving toward each other on the same highway at the same time from 420 miles apart. one car travels 15 mph faster then the other. what is the rate of each car if they meet in 4 hrs.

answer: the first car travels 60 mph; the second travels at 45 mph i got as far as d1 + d2= 420 ~~~~~> d2=420 - d1
r2=r1 + 15 need a full break down of answer
Click here to see answer by Mathtut(3670)

Question 188474: Two people start driving toward each other on the same highway at the same time from towns 420 miles apart. one car travels 15 mph faster then the other. what is the rate of each car if they meet in 4 hours?

answer: the first car travels 60 mph; the second car travels at 45 mph.

need a full break down of how my book got this answer i know that i have to use r=d/t
Click here to see answer by Mathtut(3670)

Question 188680: A certain brand of razor blades comes in packages of 6,12,and 24 blades, costing $2,$3,$4 per package, respectively. A store sold 12 packages containing a total of 162 razor blades and took in $35. How many packages of each type were sold?
This is a three by three system equations, I think I can write two of the equations but I do not know how to write the third to solve the equation.
x+y+z=162
2x+3y+4z=35
I need the other equation then I can solve it myself.

Click here to see answer by Alan3354(30993)

Question 188875: how much pure acid should be mix with 2 gallonsof 40% acid solution in order to get a 70%acid solution. can you please show me how to do it my self, thanks
Click here to see answer by Alan3354(30993)

Question 188903: An art store sells brushes for $1.80 each and tubes of paint for $2.20 each. Sandra spent $1.20 more on brushes than on paint. She spent a total of $27.60. how many brushes and tubes of paint did she buy?

answer:sandra bought 8 brushes and 6 tubes of paint
need a full break down of how my book came up with these answers
Click here to see answer by Mathtut(3670)

Question 188912: This year, 75% of the graduating class had taken 8 math courses. Of the remaining student, 60% had taken 6 or 7 math courses. What percent of the graduating class had taken fewer than 6 math courses?
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Question 188910: If the total cost of x apples is b cents, what is a general formula for the cost, in cents, of y apples?
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Question 188941: On Monday, a local hamburger shop sold a combined total of 448 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?
Click here to see answer by stanbon(57357)

Question 188938: A plane took 1 hour and 20 minutes to go 600 miles when flying with the jet stream and 2 hours 40 minutes to fly the same distance against it. find the planes rate in calm air and the rate of the jet stream
answer: the plane flies 337.5 miles per hour in calm air. The rate of the Jet stream is 112.5 miles per hour
need a full break down of how my text book got this answer
Click here to see answer by checkley75(3666)

Question 188816: A boat took 1 hour and 50 minutes to go 55 km downstream and 3 hours, 40 min to return . Find a boat's rate in still water and the rate of the current.
down stream data
ok so distance = 55 km ; time =11/6 hr. ; rate =d/t= 55 ( 11/6)=30

upstream data
distance = 55km; time= (11/3)hr.; rate= d/t=55 (11/3)=15
equations b+ c =30 kph
b-c=15kph
2b=45 kph
b=22.5 kph ( speed of the boat in still water
22.5+c=30
c=30 -22.5=7.5 kph (spped of the current)

question: how did one hour and 60 minutes turn into 11/6 hr?
how did 3 hours and 40 minutes tunr into 11/3hr?
how did d/t= 55/(11/6) turn into 30 kph?
how did d/t=55/(11/3) turn into 15 kph?
please help !
Click here to see answer by ankor@dixie-net.com(15652)

Question 188945: Ticket Sales
Tickets for a concert were sold to adults for $3 and to students for $2, if the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold?
Click here to see answer by jonvaliente(64)

Question 188943: Latoya purchased a prepaid phone card for $30. Long distance calls cost 16 cents a minute using this card. Latoya used her card only once to make a long distance call. If the remaining credit on her card is $26.48, how many minutes did her call last?
Click here to see answer by jonvaliente(64)

Question 188902: A boat took 1 hour and 50 minutes to go 55 km downstream and 3 hours, 40 minutes to return. Find the boats rate in still water and the rate of the current?

downstream data:
distance=55km; time= (11/6) hr.; rate=d/t= 55/(11/6= 30 kph
need to know how 1 hour and 50 minutes changes to 11/6 of an hr? and how does 55/(11/6)= 30?

up stream data:
distance= 55 km; time= (11/3)hr. rate= d/t= 55/(11/3)=15 kph
need to know how 3 hours and 40 minutes = (11/3)of an hour and how does 55/(11/3)=15 kph?

Click here to see answer by edjones(7569)

Question 189411: Please help me. I'm not sure I know what I'm doing.
You bought 12 one-gallon bottles of apple and orange juice for a school dance. The apple juice was on sale for $1 per bottle and the orange juice was on sale for $1.50 per bottle. All together you only spent $15. How many bottles of each type did you buy?
My answer:
Variables: C # of bottle of Apple Juice Equation 1: C + D = 12
D # of bottles of Orange Juice Equation 2: 1c+$1.50D=15
C+D=12 C+15 0D=15
-D=0 (-D+12)+$1/5-D=15
a-D+17 $.50D+12=15
-12 -12
506/50=3/50
b=6
Thank you so much.

Click here to see answer by solver91311(16897)

Question 189486: a doctor's prescription calls for the creation of pills that contain 12 units of vitamin B12 and 12 units of vitamin E. Your pharmacy stocks two powders that can be used to make these pills: one contains 20% vitamin B12 and 30% vitamin E, the other 40% vitamin B12 and 20% vitamin E. How many units of each powder should be mixed in each pill?
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Question 189466: 3x-5y-4=0 and 9x=2y+7
Click here to see answer by problemsolver13(1)

Question 190024: Set up the following scenarios as equations or inequalities and then solve for the desired quantity.
An individual is trying to ensure that he or she earns an A (90%) in a particular college course. Assume all grades thus far are weighted equally. The grades for the course are 88, 92, 83, 76. All that is left is a final exam that counts as two grades. What grade is needed to ensure the student makes an A in the course?
Thank you for your help. meligarden@yahoo.com
Click here to see answer by solver91311(16897)

Question 190124: According to the data from the U.S. department of Agriculture, the annual per capita consumption of red meat in the US has declined in a linear fashion from 131.7 pounds in 1970 to 107.7 in 2000.
a. Let x=0 correspond to 1900 and find the rule of a linear function that gives the approximate annual per capita consumption of red meat in year x.
b. If this trend continues in what year will per capita consumption be 100 pounds?
Click here to see answer by cutepiscean5(19)

Question 190144: A rectangle painting with a width of x centimeters has an area of x squared + 50x squared centimeters. Find a binomial that represents the length.
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Question 190224: My problem was about Solving Systems Using Substitution and this was the question "A math test is worth 100 points and has 30 problems. Each problem is worth either 3 points or 4 points. How many 4 point problems are there?" I have tried many different ways and have not been able to get an answer.
Click here to see answer by Earlsdon(6287)

Question 190335: help me please. The median age at first marriage for females increased from 24.5 year in 1995 tp 25.1 years in 2000. Let 1995 be 5 years and 2000 be 10 years.
a. Find the equatios of the line through (5, 24.5) and (10, 25.1).
b. What do x and y represent in your equation?
c. Interpret the slope of this line.
d. In what year will the median age be 30?
e. Graph the question
Click here to see answer by jojo14344(1512)

Question 190544: Hockey player recieve 2 points whan they win and 1 point when they tie .One season a team won a champion ship with 57 points. the won 9 more games than they tied. How many did the team have?

Miquel's insurance company will replace his car if repair cost exceed 80% of the cars value. The car recently sustained 7200 woth of damage, but it was not replaceed what was the value of this car?

Click here to see answer by jonvaliente(64)

Question 190543: A cellar phone company offers a contract for which the cost C in dollars, of it t minutes of the telephone is given by C=0.25 (t-300)+46.95, when it assumed that > 300 mintues. what times will keep the costs between 90.20 and 120.20?
Click here to see answer by jonvaliente(64)

Question 190807: A rectangular garden is 12 feet by 5 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 138 square feet?
Click here to see answer by orca(409)

Question 190806: The printed matter on a 16 by 20 centimeter page of a book must cover 192 square centimeters. If all margins are to be the same width, how wide should they be?
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Question 190801: Jacob wants to compute 23x23, he says that 20x20=400 and 3x3=9 so the product must be 400+-=409. What would you discuss with Jacob to reinforce that he is partly correct and show him what he has missed
Click here to see answer by Earlsdon(6287)

Question 190803: using the definition of multiplication, explain the meaning of 2/3x4/5=8/15
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Question 191071: Hi I need help with these 2 problems please not sure if I have them in the right catagory
1).Given the following equation, 4x – 2y = 12; solve for y.
2).Verify that the ordered pair (3, -3) is a solution to the equation
3x + 4y = -3

Click here to see answer by Alan3354(30993)

Question 191544: A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered to $80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of $75?
I thought I would have to figure out cost ÷ sales. I have gotten myself so confused that I don't know which way is up. I was originally trying to figure it out in a ratio format.
6.7 million/month 10.2 million/month x
$100 each $80 $75
=67,000 =127,500

Click here to see answer by stanbon(57357)

Question 191594: Width of a rectangle is 5 ft less than the lenght. the area is 6ft^2. find the length and the width
Click here to see answer by douger(3)

Question 191906: Three consecutive even integers are such that the square of the third is 100 more than the square of the second. Find the three integers.
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Question 191905: A rectangular patio is 7 ft longer than it is wide. Determine the dimensions of the patio if it measures 13 ft diagonally.
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Question 192010: A bus makes 4 round trips per day. Total passengers is 220. Total money received = $4675. Eary morning trip is $15, Mid-Morning trip is $20, Afternoon trip is $20, sunset trip is $25. Afternoon trip had 80 more passengers than morning trip. Afternoon trip made 5 times more money than Early morning trip.
I am struggling to set this equation up.
Click here to see answer by ankor@dixie-net.com(15652)

Question 192173: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

Click here to see answer by checkley75(3666)

Question 192171: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

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Question 192733: write an equation in slope-intercept form of a line containing the points (-8,9)and (-6,-5).
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Question 192732: write an equation in slope-intercept form of a line conataining the point (4,-5) with a slope equal -6.
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Question 193130: On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school.
Click here to see answer by Mathtut(3670)

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