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Page 111 of Manhattan "Preeti has money in two separate bank accounts. Account X earns 8% interest annually and account Y earns 15% interest annually. Preeti earned a total of $53 in interest last year. If the total amount of money in the accounts at the beginning of last year was $400, and there were no other deposits or withdrawals,
how much money was in account Y?

i used weighted average technique , total interest she got is 13.25
then the two differentials are -5.25 and 2.25
i.e (-5.25)x+(2.25)y=0
ratio is 3:7
but i mnt geting the correct answer

ans :amounts in banks X and Y are 300 and 100 respectively.

plz advice

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