Question

Luciano has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980. 35% are dated from 1980 to 2000, and the rest are dated after 2000.

Answer 1

To analyze Luciano's collection of 1,200 pennies, let's break down the percentages for each date range.

1. **Pennies dated before 1980:**
- 25% of 1,200 pennies
- Calculation: \( 0.25 \times 1200 = 300 \) pennies

2. **Pennies dated from 1980 to 2000:**
- 35% of 1,200 pennies
- Calculation: \( 0.35 \times 1200 = 420 \) pennies

3. **Pennies dated after 2000:**
- We need to calculate the remaining percentage.
- First, we find the total percentage accounted for by the first two categories:
- \( 25\% + 35\% = 60\% \)
- This means 40% of the pennies are dated after 2000.
- Calculation: \( 0.40 \times 1200 = 480 \) pennies

To summarize, Luciano's collection consists of:
- **300 pennies** dated before 1980
- **420 pennies** dated from 1980 to 2000
- **480 pennies** dated after 2000