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# If 7 cats equal to 83% of all the cats in a house. How many cats are there in total?

### 17 Answers

- 3 weeks ago
best way is to visualise it as a fraction equalling another;

so

7/x = 83/100

multiply the denominators on both sides to both sides to get

(7*100)=(83*x)

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 73 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 73 weeks 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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- Anonymous4 weeks ago
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Source(s): close your eyes and open your heart, believe in yourself that's how it starts - Ms. WorthLv 74 weeks ago
You can solve this with math, but it's faster and easier to solve it with logic.

Try using a Guess Chart

First guess

:> 10 cats total

This is wrong because 7 out of 10 cats is only 70%.

"Ten" is too high.

Guess again.

Second guess

> 9 cats total

7 cats out of 9 total = 7/9 = about 77% (too low)

So 9 is also too big

Guess again

Third guess

> 8 cats total

7 cats out of 8 total = 7/8 = 87.5% ← the closest whole number answer

https://www.google.com/search?client=firefox-b-1-d...

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 64 weeks 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 74 weeks 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 problem

Source(s): grampa