Questions on Word Problems: Translating English into Algebreze answered by real tutors!

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Question 563872: English Phrase as an algeraic expression.
The quotient of nine and a number, increased by half of the number.
I think I have the first part correct, but i don't know how to do the increased by half of the number part.
Click here to see answer by Theo(3464)

Question 564075: What are each steps in solving -2=-(n-8)?
Click here to see answer by stanbon(57361)

Question 564704: five times the sum of the digits of a two digit number equals the number. if the digits are reversed, it becomes nine more than the original number. what is the original number?
Click here to see answer by lwsshak3(6513)

Question 565451: Allison, Jess, and Bill went to the fair. They spent a total of $50 dollars on the rides. if Allison spent half as much as Bill and Jess spent $20 less than Bill, how much did each of them spend?
Click here to see answer by nyc_function(2733)

Question 566588: The difference in five times a number and eight times another number. Translate into a variable expression and simplify if possible.
Click here to see answer by Maths68(1474)

Question 566586: A number plus the product of seven and that number minus five. Translate into a variable expression and simplify if possible.
Click here to see answer by rfer(12662)

Question 566584: Four less than the product of seven and the square of a number. Translate this variable expression and simplify if possible.
Click here to see answer by rfer(12662)

Question 567189: Ok its been 17 years since I took algebra and I have a test for a job interview and this was one of the questions. I got the correct answer but it took me a long time with pen to paper. I know there is a better way to write it.
In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1800 word. Using smaller type, a page contains 2400 words. The article is alloted 21 full pages in a magazine. How many pages must be in smaller type?
I know I need to use x+y=21 and 1800x +2400y = 48000 but I am not sure how to relate the two.
Click here to see answer by stanbon(57361)

Question 567192: One more question from this crazy "practice test" for a job. again its been 17 years since HS algebra...Kids you will have to use algebra again...mark my words. :)
Question: Three individuals form a partnership and agree to divide the profits eqally. x invest 9000, Y invest 7000, and z invest 4000. If the profits are 4800 how much less does x receive than if the profits were divided in proportion to the amount invested?
(let me first say that x isn't the smartes investor...) What I have so far is
x+y+z=20000 9000/20000 = x/4800 so proportionaly x's investmet would yeild $2160. The second part would be figuring out what equal % so 1/3 = x/4800 that would be 1600 and then you just subtract 1600 from 2160 and that is $560. Did I do that correctly? any suggestions of more problems like these and the other one I did that I could practice on would be greatly appreciated.
Click here to see answer by stanbon(57361)

Question 568495: I am unable to figure out how to set up this problem. "A ladder that is 17 feet long is 8 feet from the base of a wall. How far up the wall does the ladder reach?"
Click here to see answer by richard1234(5390)

Question 568671: The sum of three consecutive odd integers is 189. What are the integers?
1.
2.
3.
Click here to see answer by muffin8(4)

Question 569381: Please help translate this. Ian writes 4 pages in his report every night for 2 weeks. He must write a total of 65 pages.how many more must Ian write?
Click here to see answer by IWork4Dessert(60)

Question 569379: Please help translate this sentence. Mr. Lath rom offered to pay Karen 4 times as much to rake leaves this year than he offered her last year. Karen receives $30 this year. How much did Mr. Lathrom pay last year?
Click here to see answer by Maths68(1474)

Question 570075: About 46.2 billion pieces of unopened junk mail ends up in the ladfills each year. This is about 44% of all the junk mail that is sent annually. How many pieces of junk mail are sent anually. What is the formula for this word problem so confused my head hurts. thank you
Click here to see answer by stanbon(57361)

Question 570381: Louis collects comic books. He buys 3 comics a week for a year. Let "X" represent the value of weeks and write an equation that would calculate the number of weeks it has been in Louis has 48 comics.
I can't seem to think of any other way to write it except X*3=48 but that seems incorrect...
Click here to see answer by stanbon(57361)

Question 570922: "On January 15, 1972 in Loma, Montana, the temperature rose from -54 degrees F to 49 degrees F over a 24 hour period. How many degrees did the temperature rise all together? Solve the problem by setting up an equation in which a negative number is subtracted."
I know the answer but I cannot agree how to set up the equation. I know it's not as simple as 54 + 49 and that I have to subtract a negative number, but isn't that the same as adding a positive anyway? My brain was never meant for algebra. I would really appreciate some help with putting this word prob into an equation. Thanks!
Click here to see answer by ankor@dixie-net.com(15656)

Question 571198: Monica has three times as many nickels as pennies and twice as many quarters as nickels. In all she has $3.25. How many coins of each type does she have?
Click here to see answer by ankor@dixie-net.com(15656)

Question 572025: Please help! In the following, write an expression in terms of the given variables that represents the indicated quantity:
d. The amount of bacteria after n min if the initial amount of bacteria is q and the amount of bacteria triples every 30 seconds. (Hint: The answer should contain q as well as n.)
e. The temperature t hour ago if the present temperature is 40F and each hour it drops by 3F.
f. Pawel’s total earnings after three years if the first year his salary was s dollars, the second year it was $5,000 higher, and the third year it was twice as much as the first year.
g. The sum of three consecutive even whole numbers if the greatest is x.
Click here to see answer by htmentor(789)

Question 572468: Nine times a number is 12 more than 5 times a number
Click here to see answer by Maths68(1474)

Question 572613: a softball team hopes to win at least 3 games for every 2 lost during the season if there are 30 games scheduled, how many games will they lose and still achieve there goal?
Click here to see answer by stanbon(57361)

Question 573352: Christy has a coin collection of nickels and dimes. She has 28 coins worth $2.25. How many of each coin does Christy have?
I know that .05n + .10D = $2.25
I also know that n+d=28
I can figure out these types of problems in my head, but I can't seem to do it using an algebraic equation.
Click here to see answer by scott8148(6628)

Question 574956: the sum of three and three times a number is 60. how do i write the equation?
Click here to see answer by ankor@dixie-net.com(15656)

Question 575065: Suppose that the sum of the present ages of Tom and his father is 100 years. Ten years ago Tom's father was three times as old as Tom was at that time. Find their present ages.
Click here to see answer by ikdeep(226)

Question 575493: If 20 is addes to one-third of a number, the result is the double of the number. What is the number?
Click here to see answer by solver91311(16897)

Question 575553: the difference of 25 and the product of 5 and a number y is less than 7
Click here to see answer by unlockmath(1602)

Question 576129: Three more than the product of five and x yields forty-three
Click here to see answer by josmiceli(9686)

Question 576553: Four times a number, subtracted from fifteen, is twice the number. Find the number.
Click here to see answer by stanbon(57361)

Question 576591: The manger of a farmer's market has 500lb of gain that cost 1.20 per pound. How many pounds of meal costing .80 per pound should be mixed with the 500lb of grain to produce a mixture that cost 1.05 per pound?
Click here to see answer by mananth(12270)

Question 576539: The second of three numbers is 3 times the first. The third is 5 more than the second. If the second is decreased by twice the third. The result is 5. What are the three numbers?
The greater of two numbers is 3 more than the smaller. If twice the smaller is added to the greater, the result is 30. What are the numbers?
Click here to see answer by ankor@dixie-net.com(15656)

Question 576979: The difference of triple a number and 1/2 is equal to the sum of the number and 2/3. Asked to find the number
Click here to see answer by stanbon(57361)

Question 577070: Each month a gas station sells x gallons of gas at $2.99 per gallon. The cost to the owner of the gas station for each gallon of gas is $1.99 and the monthly fixed coast for running the gas station is $27,000. Write the cost function of the number of gallons sold.
I've tried f(c)=2.99x+27000 but get stuck in the cost of the gas station for each gallon. I also wanted to put 2.99(x+1.99)^2+27000 but I'm not sure if it's correct. Please help
Click here to see answer by KMST(1868)

Question 577710: Tickets for a piano concert sold for $4.50 for each adult ticket. Student tickets sold for $2.00 each. the total receipts for 1720 tickets were $5980. Find the number of adult tickets sold.
Click here to see answer by nyc_function(2733)

Question 577725: A tea that is 20% jasmine is blended with a tea that is 15% jasmine. How many pounds of each tea are used to make 5 lb of tea that is 18% jasmine.
Click here to see answer by richwmiller(9143)

Question 577726: How many ounces of pure bran flakes must be added to 50 oz of cereal that is 40% bran flakes to produce a mixture that is 50% bran flakes?
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Question 577711: True or false? A 10% salt solution can be combined with some amount of a 20% salt solution to create a 30% salt solution.
Click here to see answer by richard1234(5390)

Question 577716: Five gallons of a light green latex paint that is 20% yellow paint are combined with a darker green latex paint that is 40% yellow paint. How many gallons of the darker green paint must be used to create a green paint that is 25% yellow paint?
Click here to see answer by ankor@dixie-net.com(15656)

Question 577721: A goldsmith mixes 8 oz of a 30% gold alloy with 12 oz of a 25% gold alloy. What is the percent concentration of the resulting alloy?
Click here to see answer by ankor@dixie-net.com(15656)

Question 579801: A farmer has pigs and chickens. He has 24 legs but 7 heads. How many of each animal does he have? I know it's 5 pigs and 2 chickens but I don't know how to set up the problem to solve it.

Click here to see answer by ankor@dixie-net.com(15656)

Question 579947: Twice the sum of a number and seven is equal to three times the number, minus three?
Click here to see answer by Theo(3464)

Question 582513: Theresa sold magazine subscriptions with three prices: $12, $13, and $22. She sold 1 fewer of the $12
subscriptions than of the $13 subscriptions and sold a total of 40 subscriptions. If her total sales
amounted to $643, how many $22 subscriptions did Theresa sell?
Click here to see answer by josmiceli(9686)

Question 583080: Five is subtracted from a certain number and then that result is multiplied by 4 to produce 28.
Click here to see answer by JBarnum(2044)

Question 584995: The difference of two numbers is 52 and the smaller number is n. What is the other number?
I am supposed to write the expression.
Click here to see answer by scott8148(6628)

Question 585166: two planes start at the same time from the same point and fly in opposite directions. the first plane is flying 30 mph faster then the second plane. in 4v hours they are 2880 mi appart find the rate of the faster plane.
Click here to see answer by Alan3354(30993)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790