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.

1 answer

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