<p>Four friends, Alan, Betty, Cindy and Dylan went for tea in a cafe. The food and the number of servings they each ordered, and the total expenditure per person are shown in the following table:</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 550px;"><colgroup><col style="width: 27.2727%;"><col style="width: 18.1818%;"><col style="width: 18.1818%;"><col style="width: 18.1818%;"><col style="width: 18.1818%;"></colgroup><thead><tr><th style="text-align: left; --cell-justify: flex-start"></th><th style="text-align: center; --cell-justify: center">Alan</th><th style="text-align: center; --cell-justify: center">Betty</th><th style="text-align: center; --cell-justify: center">Cindy</th><th style="text-align: center; --cell-justify: center">Dylan</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">Type of food</td><td colspan="4" style="text-align: center; --cell-justify: center">Number of servings per person</td></tr><tr><td style="text-align: left; --cell-justify: flex-start">Macaron</td><td style="text-align: center; --cell-justify: center">$5$</td><td style="text-align: center; --cell-justify: center">$3$</td><td style="text-align: center; --cell-justify: center">$3$</td><td style="text-align: center; --cell-justify: center">$5$</td></tr><tr><td style="text-align: left; --cell-justify: flex-start">Cupcakes</td><td style="text-align: center; --cell-justify: center">$2$</td><td style="text-align: center; --cell-justify: center">$4$</td><td style="text-align: center; --cell-justify: center">$1$</td><td style="text-align: center; --cell-justify: center">$1$</td></tr><tr><td style="text-align: left; --cell-justify: flex-start">Egg tarts</td><td style="text-align: center; --cell-justify: center">$2$</td><td style="text-align: center; --cell-justify: center">$1$</td><td style="text-align: center; --cell-justify: center">$2$</td><td style="text-align: center; --cell-justify: center">$2$</td></tr><tr><td style="text-align: left; --cell-justify: flex-start">Total Expenditure ($\$$)</td><td style="text-align: center; --cell-justify: center">$18.70$</td><td style="text-align: center; --cell-justify: center">$15.90$</td><td style="text-align: center; --cell-justify: center">$k$</td><td style="text-align: center; --cell-justify: center">$16.95$</td></tr></tbody></table></div></div>
<p>Find $k$.<span class="inline-marks">[4]</span></p>

Four friends, Alan, Betty, Cindy and Dylan went for tea in a cafe. The food and the number of servings they each ordered, and the total expenditure per person are shown in the following table:

	Alan	Betty	Cindy	Dylan
Type of food	Number of servings per person
Macaron	\(5\)	\(3\)	\(3\)	\(5\)
Cupcakes	\(2\)	\(4\)	\(1\)	\(1\)
Egg tarts	\(2\)	\(1\)	\(2\)	\(2\)
Total Expenditure (\(\$\))	\(18.70\)	\(15.90\)	\(k\)	\(16.95\)

2018 TGM P1 Q8

2018 TGM P1 Q8

Solution:

Solution locked