To determine how many posters the music store will give away if it sells 16 CDs, follow these steps:
1. Identify the ratio: The ratio of CDs sold to free posters given is 4 CDs to 1 poster. This means for every 4 CDs sold, 1 poster is given away.
2. Determine the number of sets of CDs: Given that the store sold 16 CDs, we need to find out how many sets of 4 CDs are in 16 CDs. We do this by dividing the total number of CDs sold by the number of CDs in each set.
[tex]\[
\text{Number of sets of CDs} = \frac{16 \text{ CDs}}{4 \text{ CDs/set}} = 4 \text{ sets}
\][/tex]
3. Calculate the number of posters given away: For each set of CDs (which is 4 CDs), the store gives away 1 poster. Since we have determined that there are 4 sets of CDs, the number of posters given away is equal to the number of sets of CDs.
[tex]\[
\text{Number of posters given away} = 4 \text{ sets} \times 1 \text{ poster/set} = 4 \text{ posters}
\][/tex]
Therefore, if the music store sells 16 CDs, it will give away 4 posters.
