Question

25. A music streaming service is having a sale. Regularly, songs cost $1.29 each and videos are $1.99, but today there is a 20% discount on both. If Raj wants to buys songs and v videos, which expression represents the amount of money he can save by making his purchase today rather than tomorrow? In the equation would you times the equation by 0.2 or 0.8

Answer 1

To determine how much Raj can save by purchasing songs and videos on sale, we first need to find the regular prices and the discounted prices.

1. **Regular Prices:**
- Price of one song = $1.29
- Price of one video = $1.99

2. **Discount:**
- There is a 20% discount on both songs and videos. This means Raj will save 20% of the regular price for each item he buys.

3. **Calculating Savings:**
- **Savings per song:**
- \( 20\% \) of \( 1.29 = 0.2 \times 1.29 \)
- **Savings per video:**
- \( 20\% \) of \( 1.99 = 0.2 \times 1.99 \)

4. **Total Savings for \( s \) songs and \( v \) videos:**
- Total savings on songs: \( s \times (0.2 \times 1.29) = 0.2 \times 1.29s \)
- Total savings on videos: \( v \times (0.2 \times 1.99) = 0.2 \times 1.99v \)

5. **Combined Savings Expression:**
- Total savings = \( 0.2 \times 1.29s + 0.2 \times 1.99v \)
- Factoring out \( 0.2 \), we get:
\[
\text{Total Savings} = 0.2 \times (1.29s + 1.99v)
\]

So, the expression that represents the amount of money Raj can save is:
\[
0.2 \times (1.29s + 1.99v)
\]

**Conclusion:** In the equation, you should multiply by **0.2** for the amount saved.