Question

A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.

Answer 1

its 402

Answer 2

estimate is 400

Answer 3

^ it decreased by 402, but that's not the percent that it decreased

Answer 4

402

Answer 5

if we are looking for an unknown percent, what you can do is:
x/100=203/605, with "x" being the unknown percent. you then do 100*203
you take that answer and divide it by 605, which will give you 33.5%.
SO, 100%-33.5% is equal to about 66%.
the answer is 66%

Answer 6

Percent decrease is out of the original amount. As a result, the percentage decreased should be represented by expression\[x=\frac{605-203}{605}\]where \(x\) is the decimal form of the percentage.

Answer 7

That being said, 402 is the difference (605-203=402)
So we need to find the ESTIMATED percentage of the following fraction, \(\Large{\frac{402}{605}}\)
By that I mean we need to round the numbers:\[402\text{ rounds down to }400\]\[605\text{ rounds up to }610\]As a result, your "estimate" goes as follows:\[\large{x=\frac{402}{605}\approx\frac{400}{610}=\frac{40}{61}=40\div61\approx0.66\text{ or }66\text{%}}\]

Answer 8

there's more than one way to solve problems !!! our minds solve things differently. Both are correct lol

Answer 9

Technically the same approach, just slightly different steps. Anyway, applying LaTeX formatting;

\(\color{fuchsia}{\text{Originally Posted by}}\) @mxddi3
if we are looking for an unknown percent, what you can do is: \[\frac{x}{100}=\frac{203}{605}\]with "x" being the unknown percent. you then do \(100\times203\) you take that answer and divide it by \(605\), which will give you \(33.5\text{%}\). SO, \(100\text{%}-33.5\text{%}\) is equal to about \(66\text{%}\) the answer is 66%
\(\color{fuchsia}{\text{End of Quote}}\)

Answer 10

haha yes. there's not only one way to get a solution. whatever works best for you, go for it ! glad to see other people's great minds showing other possible ways to go!!!