韦恩（Wayne）从父母那里继承了一笔钱。 他决定将这笔钱的 60% 用于投资，并将其余金额的 $\frac{3}{4}$ 分给他的妻子。
剩下的 $20 000 用于他们的旅行费用。
计算他继承的总金额。 答案 $ ___ 一家银行提供两种投资方案。 韦恩想在其中一个方案中投资 $55 000，期限为 3 年。
如果他希望从投资中获得最大收益，他应该选择哪一个方案？ 韦恩和他的妻子去澳大利亚进行为期七天的自驾游。 他们租车每天支付 150 澳元（AUD），住宿每晚支付 380 澳元。
他们使用信用卡付款，并被收取 2% 的货币转换费。
新加坡元与澳元之间的汇率为 $1 = 0.91 AUD。
计算韦恩支付的租车和住宿总费用（包括信用卡手续费）。
用新加坡元表示你的答案，并精确到元。 答案 $ ___

1. Represent the inherited sum and find the amount remaining after investing 60%.

Let the sum of money inherited be $x$.\n\nWayne invests $60\%$ of the money, so the remaining amount is\n$100\% - 60\% = 40\%$\n$= 0.4x$

2. Identify the fraction of the remaining amount used for travelling expenses.

He shares $\dfrac{3}{4}$ of the remaining amount with his wife.\n\nSo the fraction of the remaining amount left for travelling expenses is\n$1 - \frac{3}{4} = \frac{1}{4}$\n\nTravelling expenses amount:\n$\frac{1}{4}(0.4x) = 20000$

3. Solve the equation to find the inherited sum.

$\frac{1}{4}(0.4x)=20000$\n$0.1x=20000$\n$x=\frac{20000}{0.1}=200000$\n\nTherefore, Wayne inherited $200 000.

1. Calculate the simple interest earned from Package A over 3 years.

For Package A,
$\text{Simple interest}=55000\times \frac{0.97}{100}\times 3$
$=\$1600.50$

2. Calculate the one-time payout and hence the total benefit from Package A.

One-time payout:
$10\%\text{ of }55000=55000\times \frac{10}{100}=\$5500$
Total benefit from Package A:
$1600.50+5500=\$7100.50$

3. Calculate the final amount for Package B using compound interest over 3 years.

For Package B,
$\text{Final amount}=55000\left(1+\frac{3.78}{100}\right)^3$
$=55000(1.0378)^3$
$=\$61475.73\text{ approximately}$

4. Find Package B's benefit and compare both packages.

Benefit from Package B:
$61475.73-55000=\$6475.73$
Compare:
$\$7100.50>\$6475.73$
Therefore, Package A gives the greater benefit.