
Andy C. answered 09/25/17
Tutor
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Math/Physics Tutor
X + Y = 9500
0.0125*X + 0.01*Y = 116.25
Solving the first equation for Y and multiplying the second equation by 10000 to clear the decimals:
Y = 9500 - X
125X + 100Y = 1162500
125X + 100(9500 - X) = 1162500
125X + 950000 - 100X = 1162500
25X + 950000 - 1162500 = 0
25X -212500 = 0
X = 212500/25 = 8500
Y = 1000
Invested $8500 at 1.25% and $1000 at 1%
0 = 25X -25000
X = 25000/25 = 1000
Y = 8500