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

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Question 454827: If the Golden Ratio is 1.618 and you have a piece of cardboard that is 7/8 feet wide. How long should you cut so it follows the golden ratio?
7/8= .875 and the Golden ratio= 1.618.
I need help setting up the problem correctly, as well as how to solve, please I have tried everything I can think of.
Click here to see answer by Gogonati(809)

Question 441030: Doris invested some money at 4% and some money at 7%. She invested $6,000 more at 7% than she did at 4%. Her total yearly investments was $750. How much did Doris invest at each rate?
Click here to see answer by jorel1380(2518)

Question 441170: an investor invested $13,000 part at 8% and the rest at 12%., Find the amount invested at each rate if the annual income from the two investments is $1,240.
Click here to see answer by jorel1380(2518)

Question 441173: a water pump fills a reservoir in 4 hours. Another pump empties the same reservoir in 8 hours. If both pumps are turned on accidentally, how long will it take to fill the empty reservoir?
Click here to see answer by jorel1380(2518)

Question 454737: you have 60 percent of a bottle of raspberry syrup remaining if 10 fluid ounces were used, how many fluid ounces did the bottle originally hold?
Click here to see answer by jorel1380(2518)

Question 454703: Employees worked 200 regular hours and 50 hours of overtime. What's the percent of total hours for the week were overtime ?
Click here to see answer by jorel1380(2518)

Question 452297: Kira ran for class VP of the chess club, and she received 6 votes. There were 15 members in the club. What percentage of the club members voted for Kira?
Click here to see answer by jorel1380(2518)

Question 451776: In 20003 Mr. Wasilk bought a speed boat for $4,000. The boat depreciates at a rate of 7% annually. Mr. Wasilk want to sell the boat in 2006. He found a buyer that offers $3,000 for the boat. You are Mr. Wasilk's advisor, should he sell the boat or wait for another offer? Explain you reasoning using at least 2 different representations (table, graph, or equation).$
Click here to see answer by jorel1380(2518)

Question 450162: 80% of a teacher's students are taking her stats class. If she has 60 stat students, how many students does she have altogether?
Click here to see answer by jorel1380(2518)

Question 454935: In a capture-recapture study, a biologist tagged and released 387 deer. A month later she captured 56 deer, 28 of which had tags. About how many deer were in the population?
Click here to see answer by jorel1380(2518)

Question 450044: An investor wants to receive $1,000 annually from two investments. He has put $4,500 in a money market account paying 4% annual interest. How much should he invest in a stock fund that pays 10% annual interest to achieve his goal?
Click here to see answer by jorel1380(2518)

Question 447859: Mr. Villar bought a house for X pesos. Three years later, he sold the house for 25% more than he paid for it. He has to pay a tax of 50% of the gain. How much tax must he pay?
Click here to see answer by jorel1380(2518)

Question 447657: write a system of equation, do not solve.
One number is 5 more than another number. If you add 8 to 3 times the first number, the result is 4 times the second number.
Click here to see answer by jorel1380(2518)

Question 447612: A salesperson earns a salary of $19,000 per year. She also makes a commision of 30% on her sales. If her sales for the year total $31,000 how much money was she paid for the year?
Click here to see answer by jorel1380(2518)

Question 446777: if x>0, then what is 2 percent of 5 percent of 3x
Click here to see answer by jorel1380(2518)

Question 441172: The hypotenuse of a right triangle is 10 inches longer than the shortest side and 5 inches longer than the ramaining side. Find the dimensions of the triangle.
Click here to see answer by jorel1380(2518)

Question 441168: the sum of the measures of the angles in a triangle is 180 degree. The measure of one angle is 10 degree less than twice the smallest angle, and the third angle is 70 degrees more than the measure of the smallest angle. Find the measure of each angle.
Click here to see answer by jorel1380(2518)

Question 438485: Hi there! I have a question about a problem that I cannot seem to figure out:
Antibiotic B is taken every 6 hours and has an effectiveness factor of 90%.
How an I determine the bacterial population after 3 days in a patient who has an initial population count of 2000 ?
Thank you so much!
Click here to see answer by jorel1380(2518)

Question 454971: During one year, the Green’s real estate bill included $676 for local schools. Of this amount, $140 went to the high school district. What percent did the Greens pay to the high school district? Round your answer to two decimal places. I did it but I don't know if its right could you let me know if it right and how I would round my answer to decimal place. 946.7 is my answer
Click here to see answer by stanbon(57424)

Question 455561: 1)A fruit salad is made from pineapples, pears, and peaches mixed in the ratio of 2 to 3 to 5, respectively, by weight. What fraction of the mixture by weight is pineapple ?
The answer is 1/5 but I don't know how to get that.
Click here to see answer by richwmiller(9143)

Question 455695: if $360 is divided into two part in the ratio 3:5 what is the smaller amount?
Click here to see answer by rfer(12678)

Question 455720: The question reads:
A pancake recipe uses 1 cup mix and 3/4 cup water for 6 pancakes. How much mix and water should you use to make 20 pancakes?
I need help figuring out how to set this problem up, for some reason I am striking out.
Click here to see answer by edjones(7569)

Question 455779: a bucket when a quarter full holds 3.5 liters. How many liters will it hold when three quarters full ? thank you please reply quickly it is for my revision thanks
Click here to see answer by richwmiller(9143)

Question 455816: Two people are going to give money to a foundation for a project. Person A will provide one-half of of the money. Person B will donate one-eighth of the money. What fraction represents the unfunded portion of the project?
Click here to see answer by solver91311(16897)

Question 456308: ratio of red marbles to blue is 3 to 7. If there are 250 marbles overall, how many are red? Need to show work. I have 3r/7b=x/250, but I don't think that's right.
Thank you!
Click here to see answer by ptaylor(2048)

Question 456406: Please please help me with this word problem: Just before Christmas the sweaters were marked up 150% of the cost to get a selling price of $75. They did not sell so well at that price, so the store reduced the markup to 90% of the cost. What is the new selling price?
Click here to see answer by rfer(12678)

Question 456578: The total surface area of Earth is about 1.97 × 10^8 square miles. The
surface area of land on Earth is about 5.73 × 10^7 square miles.
Find the ratio of surface area of land of the entire planet.
Click here to see answer by ankor@dixie-net.com(15667)

Question 456890: An executive invests $28,000, some at 7% and some at 4% annual interest. If he receives an annual return of $1720, how much is invested at each rate?
at 7% interest
at 4% interest
please help me solve this. I would be greatly appreciated
Click here to see answer by mananth(12270)

Question 456873: Bills gas tank is 1/6 full after he buys 7 gallons of gas it is 2/3 full how much gas does bills tank hold
Click here to see answer by edjones(7569)

Question 457331: Please explain & show work.
On an airplane that is 2/3 full, 20% of the passangers are boys, 1/4 of the passengers are women, 1/8th of the passengers are girls, & there are 68 men. How many seats are on the plane? (girls are not counted as women, boys are not counted as men)
Click here to see answer by josmiceli(9698)

Question 457913: Can you help me solve this?
In 5 years a person’s car decreases in value of 25%. After 10 years the value of the car decreases from its previous estimate by 30%. What will be the final value of the car if the car was purchase for $13,500?
Click here to see answer by josmiceli(9698)

Question 458043: how to work out 50 divided by ratio of 4-1?
Click here to see answer by stanbon(57424)

Question 458264: if there are 33 students in a class and 15 students made an A on their test what fraction of the students made an A(simplify your answer)
Click here to see answer by jim_thompson5910(28598)

Question 458485: For one week at your store, employees worked 200 regular hours and 50 hours of over time. What percent of the total hours for the week where overtime
Click here to see answer by rfer(12678)

Question 458475: Sally won some money in a lottery. If she spent 1/5 of the money for clothes and 1/3 for a computer, what fraction of the money did she have left?
Click here to see answer by rfer(12678)

Question 458568: If a couch cost $640 after a 20% discount, what was its original price?
I did 640x.20 and got 128.00 Then I added 128+640 and got 768.
When I checked the answer sheet it says its 800. I want to know why? Isnt the formula for decreasing and increasing percentage like this: price + (price x %)
And Price - (price x %) ?
I also tried 20/100 = 640/x and got a diferent answer.
Click here to see answer by stanbon(57424)

Question 458691: If a shirt you buy at the store is $90.00 and there is a 5% sale there was also a 17% tax. What is the final price?

Click here to see answer by rfer(12678)

Question 458862: A spinner is divided into 9 equal sections. There are 4 yellow sections and 5 green sections. The spinner is spun 45 times. Which proportion can be used to find the number of times, B, that the spinner could be expected to land on a green section?

Click here to see answer by stanbon(57424)

Question 459099: Find two positive numbers whose ratio is 2:3 and whose product is 600
Click here to see answer by robertb(4012)

Question 459703: A game at a carnival has 75 rubber ducks floating in water. The ducks are numbered 1 to 75, with numbers written on their undersides so they can’t be seen. To play, you select a duck and see what number it has. If the number is less than 60, you win a consolation prize. If the number is at least 60 but less than or equal to 70, you win a stuffed duck. If the number is greater than 70 you win a giant, stuffed banana. What is the probability you win a stuffed duck? What is the probability you don’t win a duck or a banana?
Click here to see answer by stanbon(57424)

Question 459856: if something was worth $ 4.3 but is not worth $ 33., what is the percent increase?
Click here to see answer by Alan3354(30993)

Question 459857: if something was worth $ 4.3 but is now worth $ 33., what is the percent increase?
Click here to see answer by rfer(12678)

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