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devlian [24]
3 years ago
6

Russell 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. How many pennies in Russell’s collection are dated after 2000
Mathematics
2 answers:
Svet_ta [14]3 years ago
5 0
40% dated after 2000
PilotLPTM [1.2K]3 years ago
5 0

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

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