Problem

28. Sharon grew $3 \mathrm{~cm}$ during the summer. This was an increase of $2 \%$. What is her new height?

Answer

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Answer

\(\boxed{153.0}\) cm is Sharon's new height after she grew during the summer.

Steps

Step 1 ：Let's denote Sharon's original height as \(x\). According to the problem, she grew 3 cm, which is 2% of her original height. So we can write the equation as \(0.02x = 3\).

Step 2 ：Solving this equation for \(x\), we get \(x = \frac{3}{0.02} = 150.0 \, cm\). This is Sharon's original height.

Step 3 ：Sharon's new height is her original height plus the growth, which is \(150.0 \, cm + 3 \, cm = 153.0 \, cm\).

Step 4 ：\(\boxed{153.0}\) cm is Sharon's new height after she grew during the summer.

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