Questions on Word Problems: Problems on percentages, ratios, and fractions answered by real tutors!

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Question 304088: Three business partners are to share profits of $24,000 in the ratio 5:4:3. what is the amount of the least share ?
a $1,200 b $3,000 c $6,000 d $8,000 e $10,000

Click here to see answer by mananth(12270)

Question 304494: Shelia invested 25,000 in two funds A and B. Fund A has a yield of 5%, while fund B has a yield of 4%. If the income for one year is $1,140, how much money was invested in each fund?
Click here to see answer by mananth(12270)

Question 304663: A dress boutique was trying to sell a formal dress that no one seemed to want. The dress was first marked down by 20% off the original price, but no one bought it. Next, it was marked down 25% more off the first sale price, but still no one would buy it. Finally, it was offered for 30% off the second sale price, and someone purchased it for $63. What was the original price of the dress?
I tried a couple of approaches. The first one was working backwards, but I did not get the correct answer.
(63)(.30) = 18.90
63 + 18.90 = 81.90
81.90(.25) = 20.48
81.90 + 20.48 = 102.38
102.38 (.20) = 20.48
102.38 + 20.48 = 122.86
122.86(.20)= 24.58
122.86- 24.58 = 98.28
98.28 - 24.58 = 73.70
73.70(.30) = 22.12
73.70 - 22.12 = 51.58
Another approach which I realize after I finish wasn't quite right was:
x(.20) = .20x
.20x - .25 - .30 = 63
.25 + .30 = 63 - 20x
.55 = 63(20x)
.55/1260 = 1260x/1260
69.3 = x

Click here to see answer by Alan3354(30993)

Question 304604: Four people shared a taxi to the airport. The fare was $36.00, and they gave the driver a tip equal to 25 percent of the fare. If they equally shared the cost of the fare and tip, how much dideach person pay?
Click here to see answer by ankor@dixie-net.com(15646)

Question 304705: a class has 24 boys and 16 girls. On a test the class mean was 75. the mean of the girl's score was 72. What was the mean of the boy's sccores?
Click here to see answer by mananth(12270)

Question 304791: A and B deposited Rs. 4000 and 2000 for 6 months and 12 months resp. wat will be profit of B?
Click here to see answer by richwmiller(9135)

Question 304769: A bucket holds 4 quarts of popcorn. If 1/3 cup of corn kernels makes 2 quarts of popcorn , how many buckets can be filled with the popcorn made from 4 cups of kernels ?

Click here to see answer by richwmiller(9135)

Question 304789: A deposits Rs. 5000 for six months and B deposited Rs. 6000 for 5 months. what will be the ratio of their profits?
Click here to see answer by checkley77(12569)

Question 304956: 1. A merchant buys goods at 25% off the list price. He desires to mark the goods so that he can give a discount of 20% on the marked price and still clear a profit of 25% on the selling price. What percent of the list price must he mark the goods?
Click here to see answer by Theo(3458)

Question 305204: There are 6 sets of twins among 250 students. What percent of the students have a twin?
Click here to see answer by stanbon(57290)

Question 305324: The positive difference between k and 1/8 is the same as the positive difference between 1/2 and 1/3 . which of the following could be the value of k ?
a 1/7 b 1/6 c 7/24 d 23/24 e 4/3

Click here to see answer by mananth(12270)

Question 305399: A large container holds 14 litres of a solution that is 25% antifreeze, the remainder being water. How many litres of antifreeze must be added to the container to make a solution that is 30% antifreeze?
Please could you help me I am seriously confused.
25% of 14 = 3.5 remainder is 10.5l of water
Please help?
Click here to see answer by scott8148(6628)

Question 305409: Please help me sovle this equation: In a calculus class, 15 of the students play soccer. Find the total number of students in the class if 3 out of every 5 play soccer.
Click here to see answer by edjones(7569)

Question 305540: FRAN CUT HER SANDWICH INTO 6 PIECES. IF FRAN ATE 1/3 OF HER SANDWICH, HOW MANY PIECES DID SHE EAT?
Click here to see answer by checkley77(12569)

Question 305750: Cream is approximately 22% butterfat. How many gallons of cream must be mixed with milk testing at 2% butterfat to get 90 gallons of milk containing 4% butterfat?
possible answers:
7 gallons
8 gallons
9 gallons
11 gallons
12 gallons
Click here to see answer by solver91311(16877)

Question 305707: a. which had the smallest reciprocal?
1.2/3=3/2
2.4/3=3/4
3.3/4=4/3
4.3/2=2/3-my answer
b. how many prime numbers are there between 100 and 110? 9
Click here to see answer by hayleywilliams(1)

Question 305800: There are 45 students in a math 101 class. The instructor notices that there are half as many women as there are men. How many of each gender are in the class?
Click here to see answer by josmiceli(9668)

Question 305881: A room is now half full , if it becomes a quarter full after 35 people leave the room, how many people does the ballroom hold when it is full ?
A) 35 B) 70 C) 140 D) 210 E) 280

Click here to see answer by CharlesG2(828)

Question 305676: A class consisted of 14 boys and 19 girls. On a certain day all the boys was present and some girls were absent, so that the girls present made up only 30% of the class attendance. How many girls were absent?
Click here to see answer by ankor@dixie-net.com(15646)

Question 306067: you deposit $1000 in an account that pays 6% annual interest compounded continuously. find the balance at the end of 2 years.
Click here to see answer by rfer(12657)

Question 306189: Lisa will make punch that is 25% fruit juice by adding pure fruit juice to a 2 liter mixture that is 10% pure fruit juice. How many liters of pure fruit juice does she need to add?
Click here to see answer by Fombitz(13828)

Question 306447: A tight end scored 6 touchdowns in 14 games. Find the ratio of touchdowns per game
Click here to see answer by checkley77(12569)

Question 306546:
How much 1% boric acid solution and 5% boric acid solution are needed to make 30 mL of 3% boric acid solution?

Click here to see answer by mananth(12270)

Question 306823: A car drives 70 miles in 2 hours. How far will it travel in 3 hours?
Click here to see answer by rfer(12657)

Question 306853: Sixty beads, each 3/8 of an inch long, are to be strung together on a wire. What is the total length of the string of beads?
Is it 22.5?
Click here to see answer by texttutoring(324)

Question 307136: 50% what number of salad is 45?
Click here to see answer by Fombitz(13828)

Question 307511: If each of the fractions 3/k, 4/k, 5/k is in lowest terms, which of the following could be the value of k?
(A) 48 (B) 49 (C) 50 (D) 51 (E) 52

Click here to see answer by rapaljer(4667)

Question 308056: A 18 foor tree casts a shadow 11 feet long. At the same time a tree that is 27 feet tall will cast a shadow that is how long?
Click here to see answer by checkley77(12569)

Question 308331: If 3/4 of the citizens in New York cast their votes for Proposition A, and 4/5 of the remaining citizens cast their votes for Proposition B, what fraction of the votes were cast for Proposition C?

Click here to see answer by rfer(12657)

Question 308370: If a discount of 20% off the retail price of a desk saves Mark $45, how much did he pay for the desk.
Click here to see answer by rfer(12657)

Question 308637: students preferred spaghetti to pizza 5:15. If 100 students were surveyed, how many students liked spaghetti?
Click here to see answer by mananth(12270)

Question 308659: What part of an hour elapses from 4:56 PM to 5:32 PM?
Click here to see answer by rapaljer(4667)

Question 308673: Hello, I am having a very difficult time figuring this statistics problem. I appreciate any help.
A study of 47 golfers show that their average score on a particular course was 97. The standard deviation of the sample is 7. Find the 99% confidence interval of the mean score for all golfers.
Click here to see answer by rapaljer(4667)

Question 308754: what is the percentage of black if the ratio of grey to black is 3:1?
Click here to see answer by rapaljer(4667)

Question 308854: Hello could you help me with this question?
We have 500 pounds of plastic with 10% glass mixed in it. We also have 100 pounds of plastic with 30% of glass in it. How many pounds of plastic with 15% glass can you make with two materials?
Hint: You will have some 10% glass material left over.
The answer is supposed to be 400lbs, but I need to show the work.
Thanks!
Click here to see answer by scott8148(6628)

Question 308976: sam read 18 pages in 60 min. How many pages can he read in 3 1/2 hrs?

Click here to see answer by mananth(12270)

Question 309004: an iteam is originally priced at D dollars will be discounted at 35%. write an expression to represent the new price. i thought that you would take D/.35 but that is not right.
Click here to see answer by jim_thompson5910(28545)

Question 309039: in a test Isabe scored 88%. if she got three questions incorrect, how many did she get correct?
Click here to see answer by Fombitz(13828)

Question 309298: how can i make a word problem with x+13=25
Click here to see answer by mananth(12270)

Question 309313: Mr. Heftwhistle gave 30% of his socks to a sockless friend. Mr. Heftwhistle then decided to move to Florida where he would rarely need socks, so he gave 60% of the socks that remained to another friend who had a sock-loving pet. What percent of socks did Mr. Heftwhistle have left?
a) 10% b) 18% c) 28% d) 36% e) 40%

Click here to see answer by stanbon(57290)

Question 309307: The cooling system on a truck contains 5 gallons of collant that is 40% antifreeze mixture. How much must be withdrawn and replaced with pure 100% antifreeze to bring the coolant in the system to a 50% antifreeze mixture?
Click here to see answer by stanbon(57290)

Question 309040: what is the least possible integer for which 20% of that integer is greater than 1.2?
a 2 b 3 c 4 d 6 e 7
Click here to see answer by stanbon(57290)

Question 308720: A new sports car model has defective brakes 15 percent of the time and a defective steering mechanism 5 percent of the time. Let’s assume (and hope) that these problems occur independently. If one or the other of these problems is present, the car is called a “lemon.” If both of these problems are present, the car is a “hazard.” Your instructor purchased one of these cars yesterday. What is the probability it is:
a. A lemon?
b. A hazard?

Click here to see answer by stanbon(57290)

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