<p>An athlete on a special diet would like to have battered fish fillet, coleslaw and fries for lunch. He must ensure that his intake (in grams) of protein, carbohydrates and fat per meal is \(55\text{g}\), \(130\text{g}\), and \(70\text{g}\) respectively. The table below shows the nutritional breakdown for one serving of each item.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 420px;"><colgroup><col style="width: 120px;"><col style="width: 100px;"><col style="width: 100px;"><col style="width: 100px;"></colgroup><thead><tr style="height: 40px;"><th style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start"></th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>Protein</p><p>(in grams)</p></th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p style="text-align: center;">Carbohydrates</p><p style="text-align: center;">(in grams)</p></th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p style="text-align: center;">Fat</p><p style="text-align: center;">(in grams)</p></th></tr></thead><tbody><tr style="height: 40px;"><td style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">Battered fish fillet</td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center">\(20\)</td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center">\(20\)</td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center">\(15\)</td></tr><tr style="height: 40px;"><td style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">Coleslaw</td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center">\(4\)</td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center">\(15\)</td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center">\(8\)</td></tr><tr style="height: 40px;"><td style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">Fries</td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center">\(3\)</td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center">\(45\)</td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center">\(16\)</td></tr></tbody></table></div></div>
<p>Calculate the number of servings of battered fish fillet, coleslaw and fries that the athlete should take for his lunch.<span class="inline-marks">[3]</span></p>

An athlete on a special diet would like to have battered fish fillet, coleslaw and fries for lunch. He must ensure that his intake (in grams) of protein, carbohydrates and fat per meal is \(55\text{g}\), \(130\text{g}\), and \(70\text{g}\) respectively. The table below shows the nutritional breakdown for one serving of each item.

<p style="text-align: center;">Carbohydrates</p><p style="text-align: center;">(in grams)</p>

<p style="text-align: center;">Fat</p><p style="text-align: center;">(in grams)</p>

Calculate the number of servings of battered fish fillet, coleslaw and fries that the athlete should take for his lunch.

System of Linear Equations

International Baccalaureate Mathematics: Analysis and Approaches Higher Level

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