exam Maths Puzzle Numerical Ability

Jane has $10 000 to invest. She invested part of it in a term deposit that pays 4% per year and the rest of her money was invested in bonds paying 5% per year. If Jane earned $440 in interest for one year, how much money did she invest at each rate?

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exam Other Question

Find the solutions to the equation: x2 + 2x - 8 = 0.

a. x = -4, 2
b. x = -3, 5
c. x = -2, 4
d. x = 4, 4
justify each step of the solution:
3(x-4)+10=7
3x-12+10=7
3x-2=7
3x-2+2=7+2
3x=9
3x/3=9/3
x=3
thanks and i hope you can help