Andy 从一个设在泰国的在线网站上购买了一款限量版手表，价格为 10 460 泰铢。Andy 还支付了 15 新元（S$15）的运费，以及相当于手表价格 9% 的消费税（GST）。泰铢（B）与新元（S$）之间的汇率为 B100 = S$P。Andy 总共花费了 436 新元（S$436）。求 P 的值，答案保留 3 位有效数字。答案 P = ...

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完整解法

1. Express the cost of the watch in Singapore dollars using the exchange rate.

Since B100 = S$P,
$\text{Cost of watch in S\$} = \frac{10460}{100}P = 104.6P.$

2. Form an equation for the total amount paid including GST and shipping.

GST is $9\%$ of the cost of the watch, so the watch cost including GST is
$1.09(104.6P).$
Including shipping of S$15,
$1.09(104.6P)+15=436.$

3. Solve for P and round to 3 significant figures.

$1.09(104.6P)=436-15$
$114.014P=421$
$P=\frac{421}{114.014}=3.692529\ldots$
Correct to 3 significant figures,
$P=3.70.$

答案

$P = 3.70$

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