proportion

  1. math_celebrity

    2 tons of dirt cost $280.00. What is the price per pound?

    2 tons of dirt cost $280.00. What is the price per pound? We know that 1 ton = 2000 pounds. So 2 tons = 2*2000 = 4,000 pounds We rewrite this as 4,000 pounds of dirt cost $280.00. We set up a proportion where p is the price per one pound: 4000/280 = 1/p Plugging this in our search engine...
  2. math_celebrity

    Sheila loaded 21 trucks every 28 minutes. At this rate how long will it take to load 12 trucks

    Sheila loaded 21 trucks every 28 minutes. At this rate how long will it take to load 12 trucks. Let m be the number of minutes it takes Sheila to load 12 trucks. We set up a proportion of trucks to minutes: 21/28 = 12/m Type this proportion into our search engine,and we get: m = 16
  3. math_celebrity

    Dedra took a total of 6 pages of notes during 2 hours of class. After attending 3 hours of class, ho

    Dedra took a total of 6 pages of notes during 2 hours of class. After attending 3 hours of class, how many total pages of notes will Dedra have in her notebook? Set up a proportion of pages of notes to hours of class where p equals the number of pages of notes Dedra takes for 3 hours of class...
  4. math_celebrity

    I make 750 toys in 10 hours how many can I make in 4 minutes

    I make 750 toys in 10 hours how many can I make in 4 minutes Convert 10 hours to 4 minutes so we can compare minutes to minutes: 10 hours * 60 hours per minute = 600 minutes Now set up a proportion of toys to minutes where t is the number of toys made in 4 minutes: 750/600 = t/4 Type this...
  5. math_celebrity

    Lindsey took a total of 8 quizzes over the course of 2 weeks. After attending 5 weeks of school this

    Lindsey took a total of 8 quizzes over the course of 2 weeks. After attending 5 weeks of school this quarter, how many quizzes will Lindsey have taken in total? Assume the relationship is directly proportional. Since the relationship is directly proportional, set up a proportion of quizzes to...
  6. math_celebrity

    the lowest temperature on may 15 is 2/3 as warm as the warmest temperature on may 15. the lowest tem

    the lowest temperature on may 15 is 2/3 as warm as the warmest temperature on may 15. the lowest temperature on may 15 is 60F what is the warmest temperature on may 15? Set up an equation where w is the warmest temperature on May 15: 60 = 2/3w Type this equation into our search engine, and we...
  7. math_celebrity

    if 3/15 is equivalent to 45/a, find a

    if 3/15 is equivalent to 45/a, find a. Set up the proportion: 3/15 = 45/a Type this proportion into our search engine, and we get: a = 225
  8. math_celebrity

    Debbie baked 32 cookies with 4 scoops of flour. With 10 scoops of flour, how many cookies can Debbie

    Debbie baked 32 cookies with 4 scoops of flour. With 10 scoops of flour, how many cookies can Debbie bake? Set up a proportion of cookies to scoops of flour, where c is the number of cookies per 10 scoops of flour: 32/4 = c/10 Typing this proportion into our search engine, we get: c = 80
  9. math_celebrity

    The mean age of 5 people in a room is 28 years. A person enters the room. The mean age is now 32. W

    The mean age of 5 people in a room is 28 years. A person enters the room. The mean age is now 32. What is the age of the person who entered the room? The sum of the 5 people's scores is S. We know: S/5 = 28 Cross multiply: S = 140 We're told that: (140 + a)/6 = 32 Cross multiply: 140 + a =...
  10. math_celebrity

    Eva earns $72 washing 6 cars. At this rate, how many cars did Eva wash to earn $132?

    Eva earns $72 washing 6 cars. At this rate, how many cars did Eva wash to earn $132? Set up a proportion of money to cars washed where c is the number of cars washed for $132 in earnings: 72/6 = 132/c Type this proportion into our calculator, we get: c = 11
  11. math_celebrity

    Grayson took a total of 16 quizzes over the course of 8 weeks. How many weeks of school will Grayson

    Grayson took a total of 16 quizzes over the course of 8 weeks. How many weeks of school will Grayson have to attend this quarter before he will have taken a total of 20 quizzes? Assume the relationship is directly proportional. Set up a proportion of quizzes to weeks, where w is the number of...
  12. math_celebrity

    At a light bulb factory 4 out of every 25 light bulbs are defective. How many light bulbs would you

    At a light bulb factory 4 out of every 25 light bulbs are defective. How many light bulbs would you excpect to be defective out of 350 light bulbs Set up a proportion of light bulbs to defects where d is the number of defects per 350 light bulbs: 4/25 = b/350 Type this proportion into our...
  13. math_celebrity

    13 minutes to answer 4 problems. how many minutes would it take to answer 22 questions

    13 minutes to answer 4 problems. how many minutes would it take to answer 22 questions? Set up a proportion of time to problems where m is the number of minutes it would take for 22 questions: 13/4 = m/22 Type this proportion into the search engine, and we get: m = 71.5
  14. math_celebrity

    A light bulb consumes 17100 watt-hours in 4 days and 18 hours. How many watt-hours does it consume a

    A light bulb consumes 17100 watt-hours in 4 days and 18 hours. How many watt-hours does it consume a day? Since one day equals 24 hours, we have: 4 days and 18 hours equals: 4(24) + 18 hours 96 + 18 hours 114 hours Therefore, we have a proportion, where w is the number of watt-hours in a...
  15. math_celebrity

    It takes 3/4 of an hour to complete a puzzle. How many puzzles can Cindy finish in 3 hours?

    It takes 3/4 of an hour to complete a puzzle. How many puzzles can Cindy finish in 3 hours? We setup a proportion of time to puzzles where p is the number of puzzles Cindy can complete in 3 hours: 3/4/1 = 3/p Dividing by 1 means the same as the original fraction, so we have: 3/4 = 3/p Typing...
  16. math_celebrity

    A grocer is selling oranges at 3 for $2. How much would it cost to buy a dozen oranges?

    A grocer is selling oranges at 3 for $2. How much would it cost to buy a dozen oranges? Set up a proportion of oranges per cost where c is the cost of a dozen oranges: 3/2 = 12/c <-- A dozen equals 12 Typing this proportion into our search engine, we get: c = 8
  17. math_celebrity

    Wilbie had candy to give to his 3 children. He first took 5 pieces and evenly divided the rest among

    Wilbie had candy to give to his 3 children. He first took 5 pieces and evenly divided the rest among each child. Each child received 3 pieces. With how many pieces did he start? Let the starting candy amount be c. We're given: (c - 5)/3 = 3 Cross multiply: c - 5 = 3*3 c - 5 = 9 Type this...
  18. math_celebrity

    A person invested 30,000 in stocks and bonds. Her investment in bonds is 2000 more than 1-third her

    A person invested 30,000 in stocks and bonds. Her investment in bonds is 2000 more than 1-third her investments in stocks. How much did she invest in stocks? How much did she invest in bonds? Let the stock investment be s, and the bond investment be b. We're given: b + s = 30000 b = 1/3s +...
  19. math_celebrity

    Max's age is 2 more than his fathers age divided by 4. Max is 13 years old. How old is his dad?

    Max's age is 2 more than his fathers age divided by 4. Max is 13 years old. How old is his dad? Let Max's father be age f. We're given: (f + 2)/4 = 13 Cross Multiply: f + 2 = 52 Typing this equation into the search engine, we get: f = 50
  20. math_celebrity

    On a particular road map, 1/2 inch represents 18 miles. About how many miles apart are 2 towns that

    On a particular road map, 1/2 inch represents 18 miles. About how many miles apart are 2 towns that are 2 1/2 inches apart on this map? A) 18 B) 22 1/2 C) 36 D) 45 E) 90 Set up a proportion of inches to miles where m is the number of miles for 2 1/2 inches. Note: 1/2 = 0.5 and 2 1/2 = 2.5...
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