Question

Dylan has 230 stickers. He buys 12 stickers every day. At least how many days does he need to have more than 400 stickers?
tts Icon

16
tts Icon

14
tts Icon

11
tts Icon

15

Answer 1

To find out how many days Dylan needs to have more than 400 stickers, we can set up the inequality:

\[
230 + 12d > 400
\]

where \( d \) is the number of days.

First, we solve for \( d \):

1. Subtract 230 from both sides:

\[
12d > 400 - 230
\]

\[
12d > 170
\]

2. Divide both sides by 12:

\[
d > \frac{170}{12}
\]

Calculating \( \frac{170}{12} \):

\[
\frac{170}{12} \approx 14.17
\]

Since \( d \) must be a whole number (you can't have a fraction of a day), we round up to the next whole number:

\[
d = 15
\]

Thus, Dylan needs at least 15 days to have more than 400 stickers.

The answer is \( \boxed{15} \).