Work out how many investments Adam, Jamie & Pedro each have:
Adam, Jamie and Pedro have 150 investments between them.
Adam has 100 more investments than both Jamie and Pedro put together.
Jamie has 4 times as many investments as Pedro.
Answers
Given : Adam, Jamie and Pedro have 150 investments between them.
Adam has 100 more investments than both Jamie and Pedro put together.
Jamie has 4 times as many investments as Pedro.
To Find : how many investments Adam, Jamie & Pedro each have:
Solution:
Assume Pedro has investments = P
Jamie has 4 times as many investments as Pedro.
=> Jamie has investments = 4P
Adam has 100 more investments than both Jamie and Pedro put together.
=> Adam has investments = 100 + 4P + P
=> Adam has investments = 100 + 5P
Total investments = 100 + 5P + 4P + P
= 100 + 10P
Total investments = 150
Equating both
=> 100 + 10P = 150
=> 10P = 50
=> P = 5
Pedro has investments = 5
Jamie has investments = 4(5) = 20
Adam has investments = 100 + 5(5) = 125
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