There's this word problem, that says:
An inheritance of $16,000 was divided among three investments yielding a total of $990 in interest per year. The interest rates were 5%, 6%, and 7%. Find the amount in each investment if 5% and 6% investments were $3000 and $2000 less than the 7% investment.
Then, I asked the teacher how you would solve this problem using the variables and linear systems. Then, she said that the equations are:
x + y +z = 16,000
0.05x + 0.06y + 0.07z = 990
x + 3000 = z
y + 2000 = z
I understand how she came up with the first and the second equation. However, I don't understand the third and the fourth equations, and the last part of the problem, where it says " if 5% and 6% investments were $3000 and $2000 less than the 7% investment."
Can someone explain to me how these equations are formed?
2007-02-03
09:37:02
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8 answers
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asked by
Anonymous
in
Mathematics