Question

Natalie has 25 hairpins. She buys 3 hairpins every week. At least how many weeks does she need to have more than 50 hairpins?
tts Icon

11
tts Icon

9
tts Icon

8
tts Icon

6

Answer 1

Natalie currently has 25 hairpins and buys 3 hairpins every week. We need to determine how many weeks she needs to have more than 50 hairpins.

Let's denote the number of weeks as \( x \). After \( x \) weeks, the total number of hairpins Natalie will have is:

\[
25 + 3x
\]

We need this quantity to exceed 50:

\[
25 + 3x > 50
\]

Subtract 25 from both sides:

\[
3x > 25
\]

Now, divide both sides by 3:

\[
x > \frac{25}{3} \approx 8.33
\]

Since \( x \) has to be a whole number, we round up to the next whole number, which is 9.

Thus, Natalie needs at least 9 weeks to have more than 50 hairpins.

The answer is **9 weeks**.