percentage

  1. math_celebrity

    Suppose that Candidates A and B have moderate political positions, while Candidate C is quite libera

    Suppose that Candidates A and B have moderate political positions, while Candidate C is quite liberal. Voter opinions about the candidates are as follows. 35% want A as their first choice, but would also approve of B. 31% want B as their first choice, but would also approve of A. 20% want B as...
  2. math_celebrity

    A hoodie sold for d dollars. Now, the new price of the hoodie can be represented by 1.3d. Which desc

    A hoodie sold for d dollars. Now, the new price of the hoodie can be represented by 1.3d. Which description could explain what happened to the price of the hoodie? We can rewrite this as: d(1 + 0.3) And in this format, we see that the hoodie was increased by 30% which is also 1.3
  3. math_celebrity

    A soccer team lost 30% of their games and drew 15% and they played 67 games. How many games did they

    A soccer team lost 30% of their games and drew 15% and they played 67 games. How many games did they win If they lost 30% and they drew (tied) 15%, then they won the following: Wins = 100% - Losses - Drew Wins = 100% - 30% - 15% Wins = 55% So we want 55% of 67. We type this expression into our...
  4. math_celebrity

    4800$ salary spent 12% on clothes 20% on house rent how much money is she left with

    4800$ salary spent 12% on clothes 20% on house rent how much money is she left with 12% on clothes plus 20% on house rent = 32% total spendings. If she spent 32%, that means she's left with: 100% - 32% = 68% So we want 68% of 4800. We type 68% of 4800 into our search engine and we get: 3,264
  5. math_celebrity

    If 23.8% of a population is 8,212,000. What is the total population?

    If 23.8% of a population is 8,212,000. What is the total population? This can be written as 23.8% of x is 8212000 We type this expression into our search engine and we get: 1,954,456
  6. math_celebrity

    There are 32 students in a class. Nine of those students are women. What percent are men

    There are 32 students in a class. Nine of those students are women. What percent are men Find the number of male students: Males = Total Students - Females Males = 32 - 9 Males = 23 Calculate percentage of males: Percentage of males = 100% * Males / Total Students Percentage of males = 100% *...
  7. math_celebrity

    2000 people attended a baseball game 1300 of the people attending supported the home team while 700

    2000 people attended a baseball game 1300 of the people attending supported the home team while 700 supported the visiting team what percentage of people attending supported the home team We want the percentage of 1300 out of 2000. We go to our search engine and type 1300 out of 2300 as a...
  8. math_celebrity

    40% of the days in September were sunny how many days were sunny?

    40% of the days in September were sunny how many days were sunny? September has 30 days. So we type 40% of 30 in our search engine. We get: 12 days
  9. math_celebrity

    10% of the days in June were sunny. How many days in June were sunny?

    10% of the days in June were sunny. How many days in June were sunny? June has 30 days. We type in 10% of 30 in our search engine: 3 days
  10. math_celebrity

    On a Math test, 12 students earned an A. This number is exactly 25% of the total number of students

    On a Math test, 12 students earned an A. This number is exactly 25% of the total number of students in the class. How many students are in the class? Let the total number of students be s. Since 25% is 0.25 as a decimal, We have an equation: 0.25s = 12 Type this equation into our search...
  11. math_celebrity

    In a newspaper, it was reported that yearly robberies in Springfield were up 50% to 351 in 2013 from

    In a newspaper, it was reported that yearly robberies in Springfield were up 50% to 351 in 2013 from 2012. How many robberies were there in Springfield in 2012? Let the robberies in 2012 be r. We're given the following equation: 1.5r = 351 <-- We write a 50% increase as 1.5 To solve this...
  12. math_celebrity

    At a concert, 20% of the audience members were teenagers. If the number of teenagers at the concert

    At a concert, 20% of the audience members were teenagers. If the number of teenagers at the concert was 360, what was the total number of audience members? We're looking for total audience members where 20% of what equals 360? Type this expression into our search engine and we get: Audience =...
  13. math_celebrity

    If 115% of a number is 460, what is 75% of the number

    If 115% of a number is 460, what is 75% of the number. Let the number be n. We're given: 115% * n = 460 We write 115% of n as 1.15n, so we have: 1.15n = 460 Using our equation calculator, we get: n = 400 The problem asks for 75% of this number, so we type in 75% of 400 into our search engine...
  14. math_celebrity

    David had 20 pencils. 5 of them are green and 15 are purple. What percentage of pencils were gr

    David had 20 pencils. 5 of them are green and 15 are purple. What percentage of pencils were green? Percentage of Green Pencils = 100* Green Pencils / Total Pencils Percentage of Green Pencils = 100* 5/20 Percentage of Green Pencils = 500 / 20 Percentage of Green Pencils = 25%
  15. math_celebrity

    A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the pro

    A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 3 and the coin toss is heads? Write your answer as a fraction in simplest form Let's review the vitals of this question: The probability of heads...
  16. math_celebrity

    A restaurant chain sells 15,000 pizzas each month, and 70% of the pizzas are topped with pepperoni.

    A restaurant chain sells 15,000 pizzas each month, and 70% of the pizzas are topped with pepperoni. Of these, 2/3 also have peppers. How many pizzas have pepperoni and peppers? We multiply the pizzas sold by the percentage of pepperoni times the fraction of peppers. Since 70% is 7/10, we have...
  17. math_celebrity

    A large bag of candy contains 84 blue candies, 96 red candies, and 120 yellow candies. What percent

    A large bag of candy contains 84 blue candies, 96 red candies, and 120 yellow candies. What percent of the candies are red? Calculate total candies: Total Candies = Blue Candies + Red Candies + Yellow Candies Total Candies = 84 + 96 + 120 Total Candies = 300 Now calculate the red candy...
  18. math_celebrity

    28 students in class and 16 are boys what is percent of girls?

    28 students in class and 16 are boys what is percent of girls? Calculate the number of girls: Girls = Total Students - Boys Girls = 28 - 16 Girls = 12 The percent of girls is found by this formula: Percent of Girls = 100 * Number of Girls / Number of Students Percent of Girls = 100 * 12 / 28...
  19. math_celebrity

    In Chicago it snowed 65% of the day’s in January. How many days did it NOT snow in January?

    In Chicago it snowed 65% of the day’s in January. How many days did it NOT snow in January? If it snowed 65% of the days in January, then it did NOT snow 100% - 65% = 35% of the days in January. Since there are 31 days in January, we have: 35% * 31 = 10.85 days in January. So we round down up...
  20. math_celebrity

    54% of students got an F, 15% of students got a D, 19% of students got a B and 12% of students got a

    54% of students got an F, 15% of students got a D, 19% of students got a B and 12% of students got an A. if there were 26 students, how many got an F? First, we check our total percentages: 54% + 15% + 19% + 12% = 100% <-- Good, we have our full sample set F Students = 54% * 26 F Students =...
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