Eve has $400 in Australian note in her wallet, in a mixture of 5, 10, 20 and 50 dollar notes. As a surprise, Viv opens Eve's wallet and replaces every note with the next larger note. So, each $5 note becomes $10, each $10 becomes $20, each $20 becomes $50 and each $50 becomes $100. Eve discovers that she now has $900. How much of this new total is in $50 notes?
Answers
Given : Eve has $400 in Australian note in her wallet, in a mixture of 5, 10, 20 and 50 dollar notes .Viv eplaces every note with the next larger note
Each $5 note becomes $10, each $10 becomes $20, each $20 becomes $50 and each $50 becomes $100. Eve discovers that she now has $900
To find : How much of this new total is in $50 notes
Solution:
a = $5 notes
b = $ 10 notes
c = $ 20 notes
d = $ 50 notes
5a + 10b + 20c + 50d = 400 Eq1
now
a become $ 10 notes
b becomes $ 20 notes
c becomes $ 50 notes
d becomes $ 100 notes
10a + 20b + 50c + 100d = 900 Eq 2
Eq2 - Eq1
=> 5a + 10b + 30c + 50d = 500 Eq3
Eq3 - Eq1
=> 10c = 100
=> c = 10
$ 50 notes are 10 in new total
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