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

Tutors Answer Your Questions about Percentage-and-ratio-word-problems (FREE)

Question 103139: How many quarts of pure sulphuric acid should be added to 5 quarts of water to obtain a 40% solution?
Click here to see answer by HyperBrain(694)

Question 103173: Dear Sir/Madam:
This is from a worksheet that I received from the teacher. Origination unknown.
The denominator of a fraction is one more than the numerator. When 4 is added to the numerator and 6 is added to the denominator the result equals 3/4. Find the fraction.
this is what I have: x/x+1 + 4/6 = (x + 4)/(1x + 6) = 4 / 2x + 7
I feel stuck. What did I not capture correctly out of the word problem?
Thank you so very much.
Click here to see answer by ankor@dixie-net.com(15649)

Question 103508: A pair of jeans costs $35.98 before taxes. If the tax rate is 8.5%, what is the price of the jeans after taxes?
Click here to see answer by checkley75(3666)

Question 103793: Julio works as a quality control expert in a beverage factory. The assembly line that he monitors produces about 20,000 bottles in 24-hour period. Julio samples 120 bottles an hour and rejects the line if 1/50 of the sample is defective. About how many defective bottles should Julio allow before rejecting the entire line?
I tried to mutiply 120 by 1/50. I am not sure where to start on this one.
Click here to see answer by stanbon(57337)

Question 103872: Army regulations require that their pickle relish use 10 pickles per pound of relish. In one bowl they have relish that only used 8 pickles per pound. In another bowl they have relish that used 16 pickles per pound. They need to make 200 pounds of relish. How many pounds of each bowl should they use?
Click here to see answer by stanbon(57337)

Question 104241: A college increased it's student population by 6.72% over last fall. They
now have 270 students. what is the original number of
students? Use the formula changePC= [original-new]/original X 100

6.72 = {x-270}/x X 100(please note I'm using brackets to denote absolute value

Multiply each side by 100
0.0672= 100x-2700/x

Multiply each side by x,

.0672x = 100x squared -2700x
Help! TX

Click here to see answer by Fombitz(13828)

Question 104348: here is the question
you invested $8000 in two funds paying 2% and 5% annual interest respectively. At the end of the year, the interest from the 5% investment exceeded the the interest from the 2% investment by $85. How much money was invested at each rate?
Click here to see answer by ankor@dixie-net.com(15649)

Question 104686: How many ounces of water must be added to 100 ounces of 40% antifreeze solution to obtain a 16% solution
Click here to see answer by elima(1433)

Question 104821: A man weighs 230 pounds. How many pounds must he gain in order to weigh 1/8 of a ton?
Click here to see answer by pwac(253)

Question 104872: NUts to You sells trail mix in 16-ounce packages. Half the weight is peanuts. There are also 2oz of almonds, 1oz of cashews, and 3oz of raisins. The rest is chocolate chips. What fraction of the mix is chocolate chips?
Click here to see answer by oberobic(2304)

Question 104869: Joe Ravioli went running 3 days this week. He ran 21/2mi on Monda, 23/10mi on Wednesday, and 32/5mi on Friday. How far did he run altogether this week?

Click here to see answer by edjones(7569)

Question 104922: Doc O had 10,000 invested at 5%. How much would he have to invest at 8% so that his total interest per year would equal 7% of the two investments?
Click here to see answer by edjones(7569)

Question 104921: Mr. Rich invested 50,000. Part of it he put in a gold mine stock from which he hoped to receive 20% per year. The rest he invested in bank stock which was paying 6%. If he received 400 more the first year from the bank stock than from the mining stock, how much did he invest in each stock?
Click here to see answer by Fombitz(13828)

Question 104954: 12.8y= 6.4
Click here to see answer by MathLover1(6628)

Question 104953: -1.56= 0.26w
Click here to see answer by MathLover1(6628)

Question 104952: -3.38=r-9.76
Click here to see answer by checkley75(3666)

Question 105121: Could you help me?
I usually good in solving word problems in statistics. But I am confused, and when and if I get an answer I'm not confident it's right, or if it was necessary to do some of the steps.
The problem is:
A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members regularly use each facility. A survey of the membership indicates that 63% regularly use the golf course, 48% regularly use the tennis courts, and 7% use neither of these facilities regularly. What percentage of the 600 use at least one of the golf or tennis facilities?
I thought first I should convert the percents into decimals So then .63, .48, and .07 I'm stuck from there! I needed help asap, and I'm not sure where to go from here.
Click here to see answer by scott8148(6628)

Question 105082: Genetics : Approximately one-seventh of the people in the world are left-handed. Write down and solve an equation to estimate how many people in the US are left-handed if the population of the US is about 300 million.
Click here to see answer by checkley75(3666)

Question 105385: Helen has 1/5 of her portfolio in U.S. stocks, 1/8 of her portfolio in European stock and, 1/10 of her portfolio in Japanese stock. The remainder is invested in municipal bonds. What fraction of her portfolio is invested in municiple bonds? What percent is invested in municiple bonds?
Click here to see answer by Earlsdon(6287)

Question 105472: If there are 500 people in a town. 22% have dogs and cats, 44% only have dogs, 28% only have cats. 6% have neither. How many people doesn't have a cat or a dog.
Click here to see answer by checkley75(3666)

Question 105475: determine which two equations represent parallel lines.
a. y= 5/4x+3
b. y= 4/5x+5
c. y= 4/5x-5
d. y= -5/4x+5
Click here to see answer by checkley75(3666)

Question 105531: In a family there are two cars. In a given week, the first car gets an average of 15 miles per gallon, and the second car gets 40 miles per gallon. The two cars combined drive a total of 65 miles in that week, for a total gas consumption of 1600 gallons. How many gallons were consumed by each of the two cars that week?

Click here to see answer by ptaylor(2048)

Question 105771: The sum of two numbers is 133. The second is 7 more than 5 times the first. What are the two numbers?
Click here to see answer by kmcruz09(38)

Question 105820: I could use some help please.I am taking an on line couase and this did not come out of my text book. It came off my on line test.

The question is For the following function,C computes the cost in millions of dollars of implementing a city recycling project when x percent of the citizens particapte. C(x)=1.5x/100-x. Using this model approximately what is the cost if 60% ofthe citizens participate?
This is what I tried. C(60%)=1.5(60%)/100-60%, .9/66.66=.014 C=.014
Thank You for your help.
I found that I am totally lost
Click here to see answer by checkley75(3666)

Question 106195: Standing next to each other, a woman casts a 46.9 inch shadow and her 50 inch tall daughter casts a 35 inch shadow. What is the height of the woman to the nearest inch?
I tried forming a ratio between the woman and the daughter
x:46.9= 50: 35
is this the right way to do it? if not, how can I proceed with the question?
Click here to see answer by bucky(2189)

Question 106228: In a Mathematics seminar 1/4 of the people attending were married men. If the number of married women was 2/7 greater than the number of married men, what fraction of people attending the seminar were not married?
Click here to see answer by edjones(7569)

Question 106240: In the high school parking lot 16% of the vehicles are trucks and 8% of the vehicles are painted yellow. If these characteristics are mutually exclusive, what is the probability that a vehicle in the high-school parking lot will be a yellow truck?
Click here to see answer by edjones(7569)

Question 106135: Problem solving using chart:Question: Brian O'Reilly earns twice as much each week as a tutor than he does pumping gas. His total weekly wages are $150 more than that of his younger sister. She earns one quarter as much as Brian does as a tutor. How much does Brian earn as a tutor?
Click here to see answer by ptaylor(2048)

Question 106417: 3. P can do a piece of work in 9 days. Q is 50% more efficient than P. The number of days it takes Q to do the same
piece of work is?
Click here to see answer by MathLover1(6628)

Question 106847: Last year Ray Watson took over as manager of the production department. Under Ray's leadership, production increased from 42,000 to 57,000 units a month. By what percentage did output increase? If output were to increase by the same percentage next month, how many units would the department produce?
Click here to see answer by checkley75(3666)

Question 106846: American products plans to lay off 10% of its employees in its aerospace divison and 15 % of its employees in its argicultural division. If altogether 12 % of the 3000 employees in these two divison will be laid off, then how many employees are in each division?
Click here to see answer by checkley75(3666)

Question 106857: A sales price for a car is $12,590 which is 20% off the original price, what is the original price?
Click here to see answer by MathLover1(6628)

Question 107259: The first angle of a triangle is 15 degrees more than the second triangle. The third angle of a triangle is three times the second angle. Use x to represent the unknown Value.
? The first angle
? the second angle
? the third angle
Click here to see answer by Annabelle1(69)

Question 107398: susan invested a total of $14,000. Part of it was at 6% interest and the other was at 8% interest. The total interest earned in one year was $1,060.00. how mush interest was warned at each rate?
what is the formula used?
Thank you
Melinda
Click here to see answer by Annabelle1(69)

Question 107385: 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 checkley75(3666)

Question 107360: Find the original price of a pair of shoes if the sale price is $78.00 after a 25% discount.
Click here to see answer by josmiceli(9674)

Question 107414: What is the perimeter of a rectangle with a width that is 7 feet shorter than its length?
Click here to see answer by Annabelle1(69)

Question 107497: If a patient is 5 ft 8in tall . What should his or her weight be to have a BMI of 25? Round to nearest whole pound.

I know that BMI is B=705w/h2
h-height so in this case, 68 inches
w-weight so it would just remain w right? and
b-bmi so 25?

Click here to see answer by stanbon(57337)

Question 107672: Sally took four tests in science class. On each successive test, her score improved by 3 points. If her mean score was 69.5%, what did she score on the first test?
Click here to see answer by scott8148(6628)

Question 107678: Eva can paint three rooms in seven hours. Eva and Anna working together can paint four rooms in nine hours. How long would it take Anna to paint two rooms on her own?
I used the equation 3/7 + 2/X = 4/9. Rooms/ Hours. Then got a common Denominator of 63X. Came up with 2 rooms in 126 Hours. Doesn't seem right. I have asked every one I know and they all come up with a different answer. Am I setting up the equation right? X=126 makes this equation work but seems un logistic.
Click here to see answer by solver91311(16877)

Question 107737: The U.S. population in 1990 was approximately 250 million, and the average growth rate for the past 30 years gives a doubling time of 66 years. The above formula for the United States then becomes P (in millions) 250 2( y1990)66
82. Social science. What will the population of the United States be in 2025 if this growth rate continues?
Click here to see answer by stanbon(57337)

Question 107797: One invention saves 30 % on fuel; a second saves 45 percent; a third saves 25%. If you use all three inventions at once, how much fuel can you save
Click here to see answer by lauramg012(4)

Question 108133: A lever 12 m long balances weights of 48kg one end and 24 on the other end. Find the lengths of the two arms of the lever.
Click here to see answer by checkley71(8403)

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