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.
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)
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.
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.
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.