exam Maths Puzzle Numerical Ability

Jessica inherited $5500 from her uncle. She deposited part of the money in an account that paid 6% and the rest of the money in a account that paid 5%. The total interest income was $311 for 1 year. How much was deposited at each rate?

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Solve the system of equations by the Gaussian elimination method:
1. Solve the system of equations by the Gaussian elimination method:
2x+y-3z=1
3x-y+4z=6
x+2y-z=9

2. Sol I am asked to find the solution set to the following problem:

1/k-1 + 1/k+2 = 3/k^2+k-2

That is, 1 divided by k-1 plus 1 divided by k+2 equals k squared plus k-2

Please he