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

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Question 96548: Heather recieved grades of 80, 75, and 86 on three algebra tests. What must her grades be on the next test if her average for the four tests is to be at least 82..
I need help setting this up.. thanks
Click here to see answer by stanbon(57214)

Question 96776: Can you tell me what the median is for 1,4,9,15,25,36?
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Question 96951: If I invest 12,000 into 2 accounts. One account earns 7.5% simple interest. the other 6% simple interset. At the end, I earn $840.00. How much did I invest in each account?
Click here to see answer by coyote(32)

Question 96988: Lane invested $22,000, part at 8% and part at 7%. If the total interest at the end of the year is $1,710, how much did she invest at 8%?
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Question 97141: Please show me how to solve this problem. A city received 8.4 inches of rain this year. This was 70% of the average annual rainfall. What is the average annual rainfall?
Click here to see answer by checkley71(8403)

Question 97294: How do i find the original price after sale tax has been added, such as:
The cost of the camera with sales tax included was $50(sales tax was 5%), what was the original cost of the camera?
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Question 97297: The number of green beads varied inversely as the square of the number of yellow beads. When there were 8 green, there were 5 yellows. How many would there be if threre were 10 yellows?
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Question 97917: The price of a first class stamp increased from 32 cent to 36 cent. By what percent did the price increase?
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Question 97915: The current price of a pound of coffee is 80% of last year’s price. If it now costs $3.00 per pound, what was the cost last year?
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Question 97916: Seventy percent of the voters in a town voted in the mayoral election. The total votes were 350. How many voters are in the town? How many did not vote?
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Question 97981: A course at a local college has four exams. The first three each count for 20% of the final grade and the final exam counts for the remaining 40%. A student scored 68,78, and 88 out of 100 on the first three exams. What score(out of 100)does this student have to score on the final to ensure a cumulative grade of 80%.
Click here to see answer by edjones(7569)

Question 98243: Extra Credit question I didnt get right. It was too much data and I got lost putting in the right form.
A student must receive between 86% and 89% of the total possible points in her algebra class to recieve a B+. If a total of 1600 points are possible, and she currently has 1250 points, what is the fewest number of additional points that will guarantee her a B+ for the course?
Click here to see answer by checkley71(8403)

Question 98273: a wealthy mathematician left her $6,000,000 estate to her three children. The eldest received 1/3rd of the estate. The youngest received 1/4th of the remainder of the estate. The middle child recived what was left. How much did each child receive?
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Question 98406: One roofer can put a neew roof on a house three times faster than another. Working together they can roof a house in 4 days. How long would it take the faster roofer working alone? I need to know how to set up the problem then i can work it from there
Click here to see answer by stanbon(57214)

Question 98439: the number of usa triathlon member grew from 16,000 in 1993 to 40,000 in 2002. Calculate the percentage by which the number increased.
Click here to see answer by mathslover(135)

Question 98875: Lessons in a certain class starts at 7.45 a.m and end at 3.45 p.m.,with an hour's break at lunchtime and 20 minutes morning recess. If there are altogether 8 lessons of equal length , how long is each lesson ?
Click here to see answer by Adam(64)

Question 69598: Word problem: The value of our money drops 6% each year. If I had $10,000 five years ago, what would the value of that money be today?

I calculated the answer a couple of different ways (FV of presnt sum & and just used a calculator) and the answer was the same $7,339.04, but the answer in the book is $6,840.59. Can someone please tell me how to get to this answer? Thank you.
Click here to see answer by stanbon(57214)

Question 98991: Two hikers, Alan and Ben, are 13.5 miles apart and walking towards eachother. They meet in 3hrs. Find the rate of each hiker if Ben walks 0.9 mph faster than alan.
Click here to see answer by 303795(595)

Question 99231: The measures of two complementary angles are in a ratio of 7:5 Find the Measure of the Smallest angle.
Click here to see answer by checkley71(8403)

Question 99649: Can anyone help me solve this problem.
In a small pond scientists caught 100 fish over 6 "long and tagged them. The fish were returned to the pond. A month later the scientists came back and caught 50 fish that were over 6" long. of these 3 wer tagged. Estimate the population of fish over 6"
I'm not sure if I got it right i keep coming up with 6 fish for a answer.
Thank you

Click here to see answer by aaaaaaaa(138)

Question 99748: bill is driving to a city 525 miles away, if he has driven 72% of the way, how many more miles does he have to go?
Click here to see answer by scottnascar(12)

Question 99897: Three friends find $150. Paul takes 15%, Lola takes 82%, and Marianna takes the rest. How much money does each person get?
Click here to see answer by checkley71(8403)

Question 99915: A transformer has 20 primary windings and 100 secondary windings. If the secondary voltage is 25 v, find the primary voltage
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Question 99943: an appliance dealer bought some television sets for $180 and resold them for $225. What percent of the original cost was his profit?
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Question 100006: how many milileters of a 20% acis solution must be mixed with 30ml of an 80% acid solution to make a 32% acid solution? i have to show a chart and fill it out
Click here to see answer by Nate(3500)

Question 100046: a salesman works on commission. if he receives $18.00 for selling a machine that cost $300, what is his commission rate?
Click here to see answer by tutorcecilia(2152)

Question 100223: Sam stuffs shrimp in his job as a seafood chef. He can stuff 1,150 shrimp in 7 hours. When his sister helps him, they can stuff 1,150 shrimp in 4.5 hours. If Sam gets sick, how long will it take his sister to stuff 575 shrimp?
Click here to see answer by edjones(7569)

Question 100675: The scale of an architectural drawing is 1/8 in. representing 1ft.
Find the dimensions of a room that measures 9 1/2 by 12in. on the drawing.
Click here to see answer by checkley71(8403)

Question 100892: The Wildcats play 84 games this season. At midseason they had won 30 games. To win at least 60% of all games, how many of the reamaining games must they win?
Click here to see answer by ankor@dixie-net.com(15622)

Question 100838: A student has earned scores of 87, 81, and 88 on the first 3 of 4 tests. If the student wants an average(arithmetic mean) of exactly 87, what score must she earn on the fourth test?
A. 85
B. 86
C. 87
D. 92
E. 93
Click here to see answer by scott8148(6628)

Question 100993: I need some help on how to solve a mixture solving problem.
How many gallons of 65% antifreeze and how many gallons of 20% antifreeze should be mixed to obtain 50 gallons of a 56% mixture of antifreeze?
Thank you!
Click here to see answer by scott8148(6628)

Question 101043: 14. Business and finance. Julio works as a quality control expert in a beverage
factory. The assembly line that he monitors produces about 20,000 bottles in a
24-hour period. Julio samples about 120 bottles an hour and rejects the line if
he finds more than 1/50 of the sample to be defective. About how many defective
bottles should Julio allow before rejecting the entire line?
I am not asking for the answer only help with finding the formula to get me to that point. I have tried 20,000/24 and 120/1 and 1/50 with multiplying, dividing, adding and subtracting. I am still unable to get the correct answer. Please help. Thank you, Kristen

Click here to see answer by stanbon(57214)

Question 101581: At top speed, my car could travel 175 miles in a given amount of time. After upgrading the engine to my car its top speed by 20 mph and it could travel 210 miles in the same amount of time. What was the top speed of my car pre-upgrade?
My teacher wrote this problem himself and I couldnt find an example of this problem in my book. Therefore, I dont know where to start. Please help me so that I can do this problem in the future. Thank you!!
Click here to see answer by scott8148(6628)

Question 101946: apples are collected in a basket for six people. One-third, one-forth, one-eighth and one-fifth are given to four people, respectively. The fifth person gets ten apples with one apple remaining for the sixth person. Find the original number of apples in the basket.
Click here to see answer by ptaylor(2048)

Question 102266: two investments were made totaling $15,000. For a certain year these investments yielded $1432 in simple intrest. part of the $15,000 was invested at 9% and part at 10%. find the amount invested at each rate
Click here to see answer by ptaylor(2048)

Question 102326: How much antifreeze must be added to a 10 gallon of 20% antifreeze to make 50% antifreeze solution?
Click here to see answer by Fombitz(13828)

Question 101549: A survey of 400 people found that 66 were left-handed, What percent of those surveyed were left handed?
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Question 102847: A consultant traveled in a car for 3 hours to attend a meeting. The return trip took only 2 hours (different route) because his speed was 8 miles per hour faster. The total trip was 291 miles. What was the consultant's speed each way?
Click here to see answer by checkley75(3666)

Question 102845: Of 32 students in a class, 28 passed. What percentage of the students passed?

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Question 102845: Of 32 students in a class, 28 passed. What percentage of the students passed?

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Question 102848: an investment of $12000 is deposited into 2 accounts one @5.5% and one @6.5% how much should be invested into each account so each account earns the same interest?
Click here to see answer by checkley75(3666)

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