A pet show had 32 dogs, 24 cats, and 12 pets of other types.
What was the ratio of dogs to all pets at the pet show?
A. 8 : 17
B. 8 : 3
C. 8 : 9
D. 4 : 9
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OpenStudy (dangerousjesse):
First, tell me the total number of pets :)
OpenStudy (anonymous):
68
OpenStudy (dangerousjesse):
Yep, so what would the initial ratio be of total dogs to total pets?
OpenStudy (anonymous):
what?, im sorry, not to be rude at all, but i didn't get what you are saying
OpenStudy (anonymous):
there are no number in 68 that have to do with the answers
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OpenStudy (dangerousjesse):
I know, let's ignore the choices for now. Do you know how to set up a ratio?
OpenStudy (anonymous):
Not really
OpenStudy (anonymous):
She is trying to say how many dogs are there compared to all of the animals combined.
OpenStudy (anonymous):
32 to 68
OpenStudy (dangerousjesse):
Yes, what Grant said. So, 32 to 68 would be 32:68
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OpenStudy (dangerousjesse):
Now we simplify, find the factors of both:
\[\large32:1,2,4,8,16\]\[\large62:1,2\]
OpenStudy (anonymous):
In other words, what can both of those numbers simplify down to?
OpenStudy (dangerousjesse):
GCF is 2, I believe, so:
\[\large32\div2=16\]\[\large62\div2=31\]
16:31 which is.. none of the choices..
OpenStudy (anonymous):
32 = 8 , 62 = 3?
OpenStudy (anonymous):
so maybe B?
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OpenStudy (dangerousjesse):
Where did you get 8 and 3 from?
OpenStudy (anonymous):
im just thinking, cause 62 only simplified to 1, and 2
OpenStudy (anonymous):
32 was 8 and the lowest was 3 on 62's half, so maybe B?
OpenStudy (anonymous):
Remember the total number of pets are 68.
OpenStudy (anonymous):
yeah
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OpenStudy (dangerousjesse):
Fml.
OpenStudy (anonymous):
okay wait so my sister is telling me to leave the dogs out and add 24 and 12 instead of getting 68