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 36245: adam took 7 test scores and divided the correct sum by 6 which yielded 84. what is the correct average test score?
Click here to see answer by checkley71(8403)

Question 37071: Can u please tell me if I have done this right.
THe student's Council has set the ticket price at $200 per coupple. The student's council has already sold 50 tickets and through their own marketing research has found for every $15 decrease in price the number of couples increases by 5.
FInd the max revenue.
MY EQUATION THAT I HAD SET UP WAS THIS:
(200-15x)(50+5x)=R
and I got x=13.3
IS that equation correct?
I need this ASAP

Click here to see answer by jcmtnez(53)

Question 37348: this year, 75% of the graduating class of Harriet Tubman High School had taken at least 8 math courses. Of the remaing class members, 60% had taken 6 or 7 math courses.What percent of the graduating class had taken fewer than 6 math courses?????
Click here to see answer by fractalier(2101)

Question 37356: Amanda has 400ft of lumber to frame a rectangular patio the perimeter of a rectangle is 2 times length plus 2 times width.She wants to maximize the area of her patio.What sould the dimensions of the patio be? and show the maximum area of the patio is calculated from the algebraic equation?
Click here to see answer by checkley71(8403)

Question 37856: Five men were to share the treasure with Long John Silver. If the treasure were split in the following ratio 2:5:7:10:20:50, and the least amount any of the six pirates recieved was 14,000 pounds of gold, what is the total weight of the treasure?
I dont get it I worked and I dont know what im doing
Click here to see answer by fractalier(2101)

Question 37859: alice changes size several times. The ratio of her original hieght to her second height is 24 to 5. The ratio of her second height to her third height is 1 to 12. The ratio of her original height to her fourth height is 16 to 1. The tallest of these four heights is 10 feet. What is her shorest height, in inches?
Click here to see answer by fractalier(2101)

Question 37858: alice changes size several times. The ratio of her original hieght to her second height is 24 to 5. The ratio of her second height to her third height is 1 to 12. The ratio of her original height to her fourth height is 16 to 1. The tallest of these four heights is 10 feet. What is her shorest height, in inches?
Click here to see answer by fractalier(2101)

Question 38265: In the year 2000, about 25% of the 5,130,632 people living in Arizona were Latino. Find how many Arizona residents were Latino.
I've tried putting 25 over 5,130,632 then x over 100. 100 x 25 = 2500 divided by 5,130,632 does not pass the resonable test.
Please try to answer my question! Thanks!
Click here to see answer by fractalier(2101)

Question 39677: Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m, and the area is 224
2
m .find the lenght of the other baase.

Click here to see answer by Earlsdon(6287)

Question 39859: hi my name is jennifer im currently attending adult ed and i am studying math level one and im havin alot or problems with word problems and stuff like

4 devided by 1 3 over 7.
and wat dose quotient mean??

can you please help me?

Click here to see answer by checkley71(8403)

Question 40241: Racquetball.
The volume of rubber (in cubic centimeters) in a hollow rubber ball used in racquetball is given by
V = 4/3 ∏ R3 – 4/3 ∏ r3
Where the inside radius is r centimeters and the outside radius is R centimeters.
a) Rewrite the formula by factoring the right-hand side completely.
b) The accompanying graph (in the text) shows the relationship between r and V when R = 3. Use the graph to estimate the value of r for which V = 100 cm3.
Click here to see answer by fractalier(2101)

Question 40121: The amount of energy that can be derived from particles varies directly with their mass. If 8.184*10^(-14) Nm of energy is obtained from a particle whose mass is 9.1033*10^(-31) kg, how much energy can be derived from particles whose mass is 0.001 kg?
Click here to see answer by fractalier(2101)

Question 40372: Whitney invested $11,000, part at 6% and part at 1%. If the total interest at the end of the year is $510, how much did she invest at 6%?

Thank you!!!
Click here to see answer by checkley71(8403)

Question 40944: A couple plans to have three children. What is the probability of getting at least one girl? 7/8 1/8 1/2 3/4
Click here to see answer by venugopalramana(3286)

Question 40942: Which of the following cannot be considered a probability of an outcome? 0 23% 115% 1
Click here to see answer by stanbon(57347)

Question 40942: Which of the following cannot be considered a probability of an outcome? 0 23% 115% 1
Click here to see answer by venugopalramana(3286)

Question 40965: An outboard motor calls for a fuel mixture that has a gasoline-to-oil ratio of 50 to 1. How many pints of oil should be added to 6 gallons of gasoline?
Click here to see answer by fractalier(2101)

Question 40964: The student-teacher ratio for Washington High was reported to be 27.5 to 1. If there are 42 teachers, then how many students are there?
Click here to see answer by fractalier(2101)

Question 41114: Simplify the expression. Assume all variables represent positive real numbers. Write your answer with positive exponents.

(x^2y^-3z)^1/2/x^1/2yz^-1/2
Click here to see answer by stanbon(57347)

Question 41831: A hotdog vendor gets her supplies for one hotdog at a cost of $0.12. The retail price is $1.42. How many money is the markup of the hotdog?
Click here to see answer by tutorcecilia(2152)

Question 41847: Solve the problem. Round your answers as needed
The resistance, in ohms, of a 25 foot piece of wire is given by the function R(d)= 025 / d^2 , where d is the diameter of the wire in inches. What happens to the resistance of the wire as the diameter of the wire decreases?
that is what the above should appear like
Click here to see answer by tutorcecilia(2152)

Question 42502: what is the answer to 4.5% of 0.94 cm
Click here to see answer by nik_consult(24)

Question 42766: In a recent school board election, the two candidates for president received 1148 votes. The loser received 636 fewer votes than the winner. How many votes did the winner receive?
Click here to see answer by Nate(3500)

Question 43727: Melody Has $45,000 to invest and wishes to receive an annual income of $4290 from this money. She has chosen investments that pay 5%, 8%, and 12% simple interest. Melody wants to have the amount invested at 12% to be double the amounted invested at 8%. How much should she invest at each rate.
Click here to see answer by mbarugel(146)

Question 43819: Can someone help me with this problem:
$240 is what percentage of $3076.51?
Teri
Click here to see answer by vihits13(20)

Question 44937: you are having cable installed into your house. Your standard service is $35.20 per month. Each premium movie channel is $11.91 per month. If you are paying for two premium movie channels, what percent of your bill goes to paying for these movie channels? Use an equation to help you solve this problem
Click here to see answer by josmiceli(9678)

Question 45368: 1/2 + 1/8 = 7/16
may you please show it as a demical
1/2 - 1/16 =
1/8 may you please show it as a decmial
Click here to see answer by stanbon(57347)

Question 45921: This does not make sense...please help
SCIENCE & TECHNOLOGY:
Fungicides account for 1/10 of the pesticides used in the U.S. Insecticides account for 1/4 of all the pesticides used in the U.S. The ratio of fungicides to insecticides used in the U.S. can be written 1/10 divide 1/4. Write the ratio in simplest form.

Click here to see answer by jake_6233(74)

Question 46012: This is a question that came from an online sample THEA test online. Could you please provide a step-by-step analysis for solving the problem. I would greatly appreciate it. I am trying to refresh my math skills to take the THEA next week. I am a bit rusty to say the least.
Thank-you :-)

The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?
Click here to see answer by askmemath(368)

Question 46827: REPOST: Magazine Sales. A company specializing in magazine sales over the telephone found that in 2500 phone calls, 360 resulted in sales and were made by male callers, and 480 resulted in sales and were made by female callers. If the company gets twice as many sales per call with a woman’s voice than a man’s voice, then how many of the 2500 calls were made by females?

Thanks.
Click here to see answer by consc198(59)

Question 46941: When 80% of a number is added to the number, the result is 252. What is the number?
Click here to see answer by stanbon(57347)

Question 46957: Doctor Frankenstein has gathered enough bits and pieces for 2^-1+2^-2 of his creature-to-be. Write the fraction that represents the amount of his creature that must still be obtained.
Click here to see answer by aaaaaaaa(138)

Question 47057: If a rock were droped from the top of a building. And the vertical distance the rock dropped doubled every second. What fraction of the building would the rock have traveled in 8 seconds,if it takes ten seconds for the rock to hit the ground?
Click here to see answer by Nate(3500)

Question 47063: If a friend and I were climbing up the side of a building and it takes us ten seconds to reach the top. What fraction of the building would we have covered in 8 seconds if for every second the distance doubled?
Click here to see answer by josmiceli(9678)

Question 47444: Please help
In a chemistry class, 6 liters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6%
solution. How many liters of the 10% solution are needed?

Click here to see answer by longjonsilver(2297)

Question 47430: A chemist needs to strengthen a 15% acid solution so thta it contains 32% acid. How much pure acid should be added to 200 milliliters of a 15% solution in order to reach her goal?
Click here to see answer by checkley71(8403)

Question 47568: Please check my answer
Instructions: I am supposed to solve the following application:
A chemist has 300ml of solution that is 18% acid. How many ml of acid are in the solution?
I took 300 and divided by 18% which I got 16.67 ml of acid. AM I CLOSE IN THE DETERMINATION OF THIS WORD PROBLEM?
Thank You for checking
Click here to see answer by stanbon(57347)

Question 47567: Please check my answer!
Instructions: Identify the rate, base and amount in the following application(do not solve the application at this point)
Question:
Paul invested $5000.00 in a time deposit, what interest will he earn for 1 year if the interest rate is 6.5%
My answer:
base=$5000.00
rate=6.5%
amount = unknown
Did I do this correctly based on the info that I provided?
Thank You!
Click here to see answer by stanbon(57347)

Question 47784: Maximum height. If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t)= -16t^2 + 32t where t is time in seconds. Graph this parabola for 0 =< t =< 2. What is the maximum height reached by the ball?

Thank you
Click here to see answer by josmiceli(9678)

Question 48191: I need a little help with this one please:
Maximizing profit. The total profit (in dollars) for sales of “x” rowing machines is given by P(x) = -0.2x² + 300x – 200.
What is the profit if 500 are sold?

For what value of “x” will the profit be at a maximum?

Thanks
Click here to see answer by jake_6233(74)

Question 48190: REPOST: Area of a window. A window is in the shape of a square of side “s”, with a semicircle of diameter “s” above it. Write a function that expresses the total area of the window as a function of “s”.

This one never got answered when it posted last time and it's due tomorrow. Thanks.
Click here to see answer by jake_6233(74)

Question 48367: Terry earned $165 interest for 1 year on an investment of $1500. At the same rate, what amount of interest would be earned by an investment of $2500?
Click here to see answer by Nate(3500)

Question 48576: A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns, but finds that 24 characters are left out. When he tries to add one more row and column, he finds that
Click here to see answer by stanbon(57347)

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