If 7 cats equal to 83% of all the cats in a house. How many cats are there in total?
- sepiaLv 71 week ago
If 7 cats equal to 83% of all the cats in a house, there are 8 cats in total.
- 4 weeks ago
best way is to visualise it as a fraction equalling another;
7/x = 83/100
multiply the denominators on both sides to both sides to get
so isolate x now to get
700/83 = 8.4337
note: you cant have 0.43 of a cat so forget this and round down to 8 cats.Source(s): meow
- KrishnamurthyLv 74 weeks ago
7 cats equal to 83% of all the cats in a house.
solve x × 83% = 7 for x.
x = 8.4337
There are 8 cats in total.
- RRLv 71 month ago
Find 1% by dividing 7 by 83
7/83 = 0.84
Find 100% by multiplying by 100
0.84 x 100 = 8.4
The answer is 8.4 cats, which can't be true!
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- Anonymous1 month ago
be my bad boy be my man be my weekend lover, but don't be my friendSource(s): close your eyes and open your heart, believe in yourself that's how it starts
- charlatanLv 71 month ago
100*7/83 = 8.433734939759036144578313253012
- Ms. WorthLv 71 month ago
You can solve this with math, but it's faster and easier to solve it with logic.
Try using a Guess Chart
:> 10 cats total
This is wrong because 7 out of 10 cats is only 70%.
"Ten" is too high.
> 9 cats total
7 cats out of 9 total = 7/9 = about 77% (too low)
So 9 is also too big
> 8 cats total
7 cats out of 8 total = 7/8 = 87.5% ← the closest whole number answer
The closest whole number answer is
There were 8 cats total
There is no whole number solution to the problem as written
7 cats = 83% of how many cats?
7 = 0.83 x
x = 7 / 0.83
x = 8.3 cats ← not a possible answer
- msoexpertLv 61 month ago
With percents, you have three pieces: base, portion, and rate (percentage).
P = B x R
7 = B x 83%
As a decimal, 83% would be 83 / 100 = 0.03. So you'd have:
7 = 0.83B
Solve for B and you'll have your answer! _____ cats. And don't forget, you'll either have a whole cat or no cat. So if your answer comes out to a decimal instead of a whole number, then you'll need to round it to the nearest whole.Source(s): I've taught math plus many other subjects. And have helped out lots of students to help them better understand and learn.
- Spock (rhp)Lv 71 month ago
something wrong here ... did you misquote the problem? usual formulation is 7/N = 83/100 where N is the number of cats in the house. but if you cross multiply numerators and denominators, 700 = 83N and then divide 700 by 83, you find that the number of cats in the house is 8.43 ... since cats aren't divisible into fractional parts, there's something wrong with the problemSource(s): grampa
- nevin0020Lv 51 month ago