To analyze Luciano's collection of 1,200 pennies, let's break down the percentages for each date range.
-
Pennies dated before 1980:
- 25% of 1,200 pennies
- Calculation: \( 0.25 \times 1200 = 300 \) pennies
-
Pennies dated from 1980 to 2000:
- 35% of 1,200 pennies
- Calculation: \( 0.35 \times 1200 = 420 \) pennies
-
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