Question #230dc

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Answer 1 · 2017-01-28T16:32:30

The Amt. deposited at #4.5%" is "100xx200=$20000#,

whereas, that deposited at #5%" is "$40000#.

Suppose that, Liza deposits #$100x" at "4.5%#.

#:.," by given, the amount deposited at "5%" must be "$200x"#.

Now, recall that,

#"Interest"=("Principal" xx "Rate" xx "Year")/100#

#:." Annual Income "I_1" of Interest from Deposit "$100x# is,

#I_1={(100x)(4.5)(1)}/100=$4.5x.#

Similarly, Deposit #$200x# gives

#"Interest I_2="$10x#.

#:." Total Interest I="I_1+I_2=$14.5x,# which is, #$2900.#

#:. 14.5x=2900 rArr x=2900/14.5=200#

Therefore, the Amt. deposited at #4.5%" is "100xx200=$20000#,

whereas, that deposited at #5%" is "$40000#.

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