Venn Diagram

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jen.jen302

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Mar 26, 2019
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Hi, I have been stuck on this Venn diagram for quite some time. I have sent in many revisions and have made no progress. The word problem is:

A cat has thirteen kittens. Eight of the kittens have white hair, six of the kittens have spots, and eight of the kittens have long tails. All of the kittens have at least one of these traits. One kitten is white with spots and a long tail. Three of the kittens are white with spots. Two kittens have spots and long tails. One kitten has white hair but does not have spots or a long tail. Draw a Venn diagram for this problem.

The last one that I entered was <broken link removed> My teacher told me that my values regarding the clues were correct but that my work to fill in the rest was incorrect. They want me to fill in the values below and write the totals for each circle by their categories. Give the math to fill in the blank sections another try. You have 3 values for the white, so subtract to find the missing section for long/white. That only leaves the one section for long only to complete.
Spots = 2
White = 1
Long =
Spots/White = 2
Spots/Long = 1
Long/White =
All 3 = 1

I'm just kind of confused of what they are asking.
 
Last edited by a moderator:
jen.jen302 said:
… The last one that I entered was Link to up-lesson05-2-IMG_3079.jp …
Click to expand...
The link above was removed because a username and password are required to access that site. Can you add a screen shot, instead?

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Have you drawn a Venn diagram with the info you have listed. Look at the White circle. You have three of the four numbers required.
Remember that you are told that 8 kittens have white hair. So what's the missing number? Fill it in.
Now look at the Long Tail circle. How many kittens in all have long tails? (Look at the second sentence in the original question.) So, whats the missing number?

I think you've simply forgotten to take into account a of the info in that second sentence!!
 
It says there are 8 white kittens so the total of the 4 numbers in the White circle has to be 8. Where did you get the 6 from?
 
jen.jen302 said:
I made a new diagram
Click to expand...
The text says:
A cat has thirteen kittens. Eight of the kittens have white hair, six of the kittens have spots, and eight of the kittens have long tails. All of the kittens have at least one of these traits.
One kitten is white with spots and a long tail. <-- you have this right.
Three of the kittens are white with spots. <-- you have "2" in your diagram.
Two kittens have spots and long tails. <-- you have "1" in your diagram.
One kitten has white hair but does not have spots or a long tail. <-- you have this right.
 
willyengland said:
The text says:
A cat has thirteen kittens. Eight of the kittens have white hair, six of the kittens have spots, and eight of the kittens have long tails. All of the kittens have at least one of these traits.
One kitten is white with spots and a long tail. <-- you have this right.
Three of the kittens are white with spots. <-- you have "2" in your diagram.
Two kittens have spots and long tails. <-- you have "1" in your diagram.
One kitten has white hair but does not have spots or a long tail. <-- you have this right.
Click to expand...
You are misreading the facts you claim are wrong.

It says that 3 are white with spots -- not that 3 are white with spots but not long tails. Adding together the two regions that fit the description, we see 2+1 = 3, so it is correct.

The same is true for spots and long tails -- 1 + 1 = 2, which is correct.

The only thing wrong with the most recent Venn diagram is the two missing numbers, which are easily filled in.
 
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