SOLUTION: Matt inherits $90,000 and decides to invest part of it in an education account for his daughter and the rest in a 10-year CD. If the amount he puts in the education account is $12

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Question 1139025: Matt inherits $90,000 and decides to invest part of it in an education account for his daughter and the rest in a 10-year CD. If the amount he puts in the education account is $12,000 less than twice the amount he puts in the CD, how much money does Matt invest in each account?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
From the condition, you have these two equations


    X  + Y = 90000   (1)

    2X - Y = 12000   (2)


(where X = CD, Y = education).


Add equations (1) and (2).


    3X = 90000 + 12000 = 102000    =====>  X = 102000%2F3 = 34000 dollars in CD    ANSWER


The rest,  90000 - 34000 = 56000 in education.    ANSWER


CNECK.   2*34000 - 56000 = 68000 - 56000 = 12000.    ! Correct !

Solved.