To solve for [tex]$2 \%$[/tex] of 6700, we start by converting the percentage to a ratio. We do this by expressing [tex]$2 \%$[/tex] as the ratio [tex]\(\frac{2}{100}\)[/tex].
Next, we use the ratio [tex]\(\frac{2}{100}\)[/tex] to find an equivalent ratio for 6700. We set up the proportion:
[tex]\[
\frac{2}{100} = \frac{x}{6700}
\][/tex]
To find [tex]\(x\)[/tex], we cross-multiply and solve for [tex]\(x\)[/tex]:
[tex]\[
2 \cdot 6700 = 100 \cdot x
\][/tex]
This simplifies to:
[tex]\[
13400 = 100x
\][/tex]
Next, we solve for [tex]\(x\)[/tex] by dividing both sides of the equation by 100:
[tex]\[
x = \frac{13400}{100}
\][/tex]
This yields:
[tex]\[
x = 134
\][/tex]
Therefore, [tex]\(2 \%\)[/tex] of 6700 is 134. The correct equivalent ratio is found using the steps outlined above. Specifically, the correct intermediate step is:
\[
(2)(67) = 134
