Answer:
The total pennies in Russell's collection dated after 2000 is 800
Step-by-step explanation:
Given
Total Pennies: 1,200
Pennies before 1980: 25%
Pennies between 1980 and 2000: 35%
Required
Number of pennies in Russell’s collection are dated after 2000
<em>Let P1 represent pennies dated before 1980</em>
<em>Let P2 represent pennies dated between 1980 and 2000</em>
<em>Let P3 represent pennies dated after 2000</em>
To calculate the number of pennies dated after 2,000. you have to understand that his total collection of pennies is 100%
This means that
P1 + P2 + P3 = 100%
Where P1 = 25% and P2 = 35%.
So, we're solving for P3
By substituting, P1 = 25% and P2 = 35%, we have
25% + 35% + P3 = 100%
60% + P3 = 100%
Make P3 the subject of formula
P3 = 100% - 60%
P3 = 40%
The quantity of pennies dated after 2,000 is then calculated by P3 * Total.
i.e. 40% * 2000
= 0.4 * 2000
= 800
Hence, the total pennies in Russell's collection dated after 2000 is 800