Picture
Refer to problem to the left and ? and clues were as follows:

QUESTION: How many people were in the survey?

CLUE 1. Four people preferred the Split-leaf Philodendren.
CLUE 2. One-third of everyone surveyed preferred the most popular plant, the Venus Fly-trap.
CLUE 3. Only half as many preferred the Split-leaf Philodendren as preferred the Venus Fly-trap.
CLUE 4. The number of people who preferred the African Violet was the same as the number that preferred the Boston Fern.
There were only four choices; each person had to choose only one of the four.
CLUE 5. One-fourth of all the people surveyed preferred the Boston Fern.
CLUE 6. Remember, there are were only four choices.

Stop and think:
What do I need to know?
What information do I know? 
What strategy will I use?  Where will I begin?

I solved this problem by starting with the information given in clue #1....I hope you brainiacs figure it out!!! Mrs. Armstrong
 


Comments

sd
01/13/2011 16:07

the answer is 24 because 4x2=8 and 8x3=24

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Brent
01/13/2011 16:22

I saw that Four people preferred the Split-leaf Philodendren. Then, I noticed that one-third of everyone surveyed preferred the most popular plant, the Venus Fly-trap. Next, I found that only half as many preferred the Split-leaf Philodendren as preferred the Venus Fly-trap and, 8x3 is 24 and the Split-leaf Philodendren had four plus the eight four the Venus Fly-trap meant there were only 12 votes and the African Violet and

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TJ
01/13/2011 16:28

The answer is 24 and I know that because I used a step by step process to find it out. First, I looked at the question and first clue and the saw that four people preferred the Split-leaf Philodendren so I wrote down 4 in that section. The next clue said that one-third of everyone surveyed preferred the most popular plant, the Venus Fly-trap. Next, I saw that clue number 3 only half as many preferred the Split-leaf Philodendren as preferred the Venus Fly-trap. Then, clue #4 said the number of people who preferred the African Violet was the same as the number that preferred the Boston Fern. So, I wrote AV=BF. There were only four choices; each person had to choose only one of the four.

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Mrs. A
01/13/2011 16:43

Please make sure to use only your initials when answering. Hmm...S.D., sorry for no paper copy today, but you can scroll up for scanned page, question, and clues. Try to explain yourself in words because this will help reinforce your understanding. Some of us looked at fractional equations and some of us looked at pictures....let me know what helped you!!!

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Mrs. A
01/13/2011 16:44

Oh, thanks for a great starting session!

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Matthew M.
01/13/2011 17:24

I figured this problem out by first, knowing that the Split-leaf Philodendron was the favorite of four people, and it's also half of the Venus Fly Trap. Which means that it's eight people's favorite. Also, sense that it's one-third of people's favorite multiply it by three which gives you twenty-four and that's the total! Because the total is twenty-four, and the African Violet and Boston Fern are one-fourth of the total, they're both four. Last-minute checking: (4+6+6+8=24)

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Madelyn W.
01/13/2011 18:18

In this problem, i figured out the awnser by first finding out that only 4 people liked the Split-Leaf Philodendron, which is have of the Venus Fly Trap (8). Then i did 8+4=12, and the other two plats had to be half of the 12, so the Boston Fern and the African Violet were 6 each. 6+6=12, 12+12=24.
24 poeple took the survey.

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S.L
01/13/2011 18:26

I would explain,but I'm a hands on person and if I don't do it myself I won't be able to put the steps in my own words. I do understand how to solve the problem, but not well enough to put it in my own words.

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Mrs. A
01/13/2011 18:37

Explain the thought process that brought you to the solution.....may help to read some of the other students answers.

Hopefully next time we will have more time for you all to solve the problem and then discuss it...this may also help with putting it in words. If you can solve it, then describe how. As I get to know all of you and your abilities, the sessions will improve. Hope that helps

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jasmine (Mrs. A's daughter)
01/13/2011 18:54

I know that the answer is 24 because the split leaf philodendron has 4 people who like it, and clue 3 says that Only half as many preferred the Split-leaf philodendron as preferred the Venus Fly-trap, so 4+4=8, next I saw clue 2. One-third of everyone surveyed preferred the most popular plant, the Venus Fly-trap, so I multiplied 8x3=24, and got 24.

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BAS
01/13/2011 19:07

I saw that Four people preferred the Split-leaf Philodendren. Then, I noticed that one-third of everyone surveyed preferred the most popular plant, the Venus Fly-trap. Next, I found that only half as many preferred the Split-leaf Philodendren as preferred the Venus Fly-trap and, 8x3 is 24 and the Split-leaf Philodendren had four plus the eight four the Venus Fly-trap meant there were only 12 votes and the African Violet and Boston Fern had six because for one, 6 is one fourth of 24 ,and both have an equal amount.

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sd
01/13/2011 21:12

my answer is 24 because twice as many preferred the venus flytrap as the philodendron so I multiplied the 4 that preferred the philodendron by 2 and got 8. Then I multiplied by 3 because the second clue said that 1/3 of the total people surveyed preferred the venus flytrap. Therefore there were 24 people surveyed.

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keandre murray
01/14/2011 12:31

I figured the guestion out by folowing the directions step by step and having the group talk. I used clue number #5 to triple the number because, of clue #3. Then I used all of the other clues to see who voted for what. 24 people voted in all.
Boston Fern-6 people
Venus Fly Trap-8 people
Split Leaf Philopendron-4 people
African Violet-6 people
That is my method to figuring that out and the answer and how many people voted.

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02/03/2011 05:47

It's so great that you're doing these problems and writing about them! I'm sharing them with the world on our eeps site; check out http://www.eeps.com/products/uws_stuff/answerbook/uws.153.FavePlants.html Thanks for your hard work! Tim

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JM
02/05/2011 16:53

The question asked me how many people were in the survey.I found my answer by first using clue which tells me their are 4 people who voted for the split leaf philodendren. Then clue two said that 1\3 Of the people preffered the venus fly trap and 1\3 OF THEM is 2 so then you do 4*2=8. Then it says they the other two plants have the same amount 1-4 OF 4 IS 6 SO THE ANSWER IS 24.

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