Question Number 170911 by MathsFan last updated on 03/Jun/22
$$\boldsymbol{\mathrm{A}}\:\boldsymbol{\mathrm{manufacturing}}\:\boldsymbol{\mathrm{company}}\:\boldsymbol{\mathrm{produces}} \\ $$$$\boldsymbol{\mathrm{containers}}\left(\boldsymbol{\mathrm{jugs}}\right)\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{same}}\:\boldsymbol{\mathrm{kind}}.\:\boldsymbol{\mathrm{Two}} \\ $$$$\boldsymbol{\mathrm{similar}}\:\boldsymbol{\mathrm{containers}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{height}}\:\mathrm{1}.\mathrm{5}\boldsymbol{\mathrm{cm}} \\ $$$$\boldsymbol{\mathrm{and}}\:\mathrm{8}\boldsymbol{\mathrm{cm}}\:\boldsymbol{\mathrm{were}}\:\boldsymbol{\mathrm{selected}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{filled}}\:\boldsymbol{\mathrm{with}} \\ $$$$\boldsymbol{\mathrm{orange}}\:\boldsymbol{\mathrm{juice}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{some}}\:\boldsymbol{\mathrm{athletes}}.\:\boldsymbol{\mathrm{Determine}} \\ $$$$\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{quantity}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{orange}}\:\boldsymbol{\mathrm{juice}}\:\boldsymbol{\mathrm{in}}\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{smaller}}\:\boldsymbol{\mathrm{container}}\:\boldsymbol{\mathrm{if}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{bigger}}\:\boldsymbol{\mathrm{one}} \\ $$$$\:\boldsymbol{\mathrm{contained}}\:\mathrm{7}\boldsymbol{\mathrm{liters}}. \\ $$
Answered by Rasheed.Sindhi last updated on 04/Jun/22
$$\left.\mathrm{Jug}\:\mathrm{of}\:\mathrm{height}\:\mathrm{1}.\mathrm{5}\:\mathrm{cm}\::\right) \\ $$$$ \\ $$$${x}\:{liters}\:{in}\:{smaller}\:{jug} \\ $$$${x}:\mathrm{7}=\mathrm{1}.\mathrm{5}:\mathrm{8} \\ $$$$\mathrm{8}{x}=\mathrm{7}×\mathrm{1}.\mathrm{5} \\ $$$${x}=\frac{\mathrm{10}.\mathrm{5}}{\mathrm{8}}=\mathrm{1}.\mathrm{3125}\:{liters}. \\ $$
Commented by MathsFan last updated on 04/Jun/22
$${thanks}\:{a}\:{lot} \\ $$