Question

let $w$ equal the price of a bottle of water. write an equation that represents the sit
$22(w + 2) = 77$
what is the price of one bottle of water?
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Explanation:

Step1: Divide both sides by 22

To isolate the term with \( w \), we divide both sides of the equation \( 22(w + 2) = 77 \) by 22.
\[
\frac{22(w + 2)}{22}=\frac{77}{22}
\]
Simplifying both sides, we get \( w + 2=\frac{77}{22} \). We can simplify \( \frac{77}{22} \) by dividing numerator and denominator by 11, so \( \frac{77}{22}=\frac{7}{2} = 3.5\). So now the equation is \( w + 2 = 3.5 \).

Step2: Subtract 2 from both sides

To solve for \( w \), we subtract 2 from both sides of the equation \( w + 2 = 3.5 \).
\[
w+2 - 2=3.5 - 2
\]
Simplifying both sides, we get \( w = 1.5 \).

Answer:

\( 1.5 \)