<p>Paul is helping his friends to convert their foreign currencies back to Singapore Dollars. The amounts of foreign currencies converted, and the total amount received in Singapore Dollars are shown in the following table.</p>
<div class="content-block content-block--table"><div class="table-container"><table><thead><tr><th style="text-align: left; --cell-justify: flex-start"> </th><th style="text-align: left; --cell-justify: flex-start">Alex</th><th style="text-align: left; --cell-justify: flex-start">Nicholas</th><th style="text-align: left; --cell-justify: flex-start">Palmer</th><th style="text-align: left; --cell-justify: flex-start">Maybelline</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">US Dollar (USD)</td><td style="text-align: left; --cell-justify: flex-start">\(150\)</td><td style="text-align: left; --cell-justify: flex-start">\(250\)</td><td style="text-align: left; --cell-justify: flex-start">\(425\)</td><td style="text-align: left; --cell-justify: flex-start">\(a\)</td></tr><tr><td style="text-align: left; --cell-justify: flex-start">Japanese Yen (JPY)</td><td style="text-align: left; --cell-justify: flex-start">\(5500\)</td><td style="text-align: left; --cell-justify: flex-start">\(9500\)</td><td style="text-align: left; --cell-justify: flex-start">\(1000\)</td><td style="text-align: left; --cell-justify: flex-start">\(0\)</td></tr><tr><td style="text-align: left; --cell-justify: flex-start">Chinese Yuan (CNY)</td><td style="text-align: left; --cell-justify: flex-start">\(1000\)</td><td style="text-align: left; --cell-justify: flex-start">\(2200\)</td><td style="text-align: left; --cell-justify: flex-start">\(2000\)</td><td style="text-align: left; --cell-justify: flex-start">\(1200\)</td></tr><tr><td style="text-align: left; --cell-justify: flex-start">Total amount: Singapore Dollars (SGD)</td><td style="text-align: left; --cell-justify: flex-start">\(419.30\)</td><td style="text-align: left; --cell-justify: flex-start">\(797.20\)</td><td style="text-align: left; --cell-justify: flex-start">\(913.10\)</td><td style="text-align: left; --cell-justify: flex-start">\(568.40\)</td></tr></tbody></table></div></div>
<p>However, he has forgotten the amount of US Dollar that Maybelline has passed to him. Assuming that, for each foreign currency, the exchange rate quoted for each of the friends is the same, calculate the value of \(a\).<span class="inline-marks">[4]</span></p>

Paul is helping his friends to convert their foreign currencies back to Singapore Dollars. The amounts of foreign currencies converted, and the total amount received in Singapore Dollars are shown in the following table.

However, he has forgotten the amount of US Dollar that Maybelline has passed to him. Assuming that, for each foreign currency, the exchange rate quoted for each of the friends is the same, calculate the value of \(a\).

System of Linear Equations

International Baccalaureate Higher Level Mathematics

2025 NJC P1 Q1

2025 NJC P1 Q1