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Mathematics 17 Online
OpenStudy (fanduekisses):

How to solve this equation?

OpenStudy (fanduekisses):

\[3.00 % =\frac{ x }{ 125 }x100%\]

OpenStudy (fanduekisses):

\[3.00percent =\frac{ x }{ 125 }100 percent \]

OpenStudy (fanduekisses):

I get 3.75 but the answer key says its 0.375

OpenStudy (anonymous):

move the decimal place over 1

OpenStudy (fanduekisses):

like 3.00 becomes 30.0 and 100 becomes 1000?

OpenStudy (anonymous):

yeah but move it over to the left instead of right

OpenStudy (fanduekisses):

that still gives me 3.75 not 0.375

OpenStudy (anonymous):

wait move it over two times to the left so that the . is in front of the 3

OpenStudy (fanduekisses):

why?

OpenStudy (freckles):

so the question is solve the following for x: \[3.00\%=\frac{x}{125}100\%\]

OpenStudy (freckles):

?

OpenStudy (freckles):

like the original question?

OpenStudy (fanduekisses):

How many grams of solute are present in 125 grams of a 3.00% salt solution? We still use the formulas and solve for the missing value.

OpenStudy (fanduekisses):

formula

OpenStudy (fanduekisses):

@freckles

OpenStudy (freckles):

you are right 3.75 should be the answer \[125 \text{ g solution } \cdot \frac{3 \text{ g NaCl }}{100 \text{ g solution}} \\ =125 \cancel{g solution} \cdot \frac{3 \text{ g NaCl}}{100 \cancel{\text{g solution}}} \\ =\frac{125 \cdot 3 }{100 } \text{ g NaCl } \\ \\ =\frac{375}{100 } \text{ g NaCl} \\ =3.75 \text{ g NaCl}\]

OpenStudy (freckles):

oh and sodium chloride aka NaCl is salt

OpenStudy (fanduekisses):

Maybe it was a typo or my teacher's mistake lol.

OpenStudy (freckles):

she had .375 right ?

OpenStudy (fanduekisses):

yeah

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