Q1: Share these amounts between Lin and Kuan- Yin in the ratios given. \( \begin{array}{ll}\text { a) } \$ 35 \text { in the ratio } 2: 3 & \text { b) } 590 \text { in the ratio } 7: 3\end{array} \)

To share \$35 in the ratio 2:3, you first add the parts of the ratio together, which gives you \(2 + 3 = 5\). Lin's share will be \(\frac{2}{5} \times 35 = 14\), and Kuan-Yin’s share will be \(\frac{3}{5} \times 35 = 21\). For \$590 in the ratio 7:3, similarly, add the parts together: \(7 + 3 = 10\). Thus, Lin's share is \(\frac{7}{10} \times 590 = 413\) and Kuan-Yin’s share is \(\frac{3}{10} \times 590 = 177\).