Investment Plans

An Old Mutual client decides to invest R$60,000$ in three different investment solutions $-$ the education,

retirement, and personal savings plans. The investment plan in education pays $2\%$ interest per year, while the

retirement plan pays $2\mathrm{.}5\%,$ and the personal investment plan pays $3\%.$ She decides to invest twice as much

in the retirement plan as in the other investment plans. After $1$ year, the client has earned R$1575$ in interest.

a$.$ Write the system of matrix that represents the scenario above.

b$.$ Calculate how much did the client invest in each investment solution. Explain$/$show all your

calculations.